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Research Article Possibilities for Advanced Encoding Techniques at Signal Transmission in the Optical Transmission Medium Filip Hertík and Rastislav Róka Institute of Telecommunications, Slovak University of Technology in Bratislava, Ilkoviˇ cova 3, 812 19 Bratislava, Slovakia Correspondence should be addressed to Rastislav R´ oka; [email protected] Received 25 November 2015; Accepted 13 March 2016 Academic Editor: A. S. Madhukumar Copyright © 2016 F. ˇ Cert´ ık and R. R´ oka. is is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. is paper presents a possible simulation of negative effects in the optical transmission medium and an analysis for the utilization of different signal processing techniques at the optical signal transmission. An attention is focused on the high data rate signal transmission in the optical fiber influenced by linear and nonlinear environmental effects presented by the prepared simulation model. e analysis includes possible utilization of OOK, BPSK, DBPSK, BFSK, QPSK, DQPSK, 8PSK, and 16QAM modulation techniques together with RS, BCH, and LDPC encoding techniques for the signal transmission in the optical fiber. Moreover, the prepared simulation model is compared with real optical transmission systems. In the final part, a comparison of the selected modulation techniques with different encoding techniques and their implementation in real transmission systems is shown. 1. Introduction Nowadays, an interest in the signal transmission through optical fibers is rapidly increasing due to the transmission bandwidth. Creating new optical transmission paths can be time consuming and expensive [1–4]. erefore, more effec- tive approaches are appearing to satisfy increased customer requests. In both electric and optical domains, utilizing new advanced signal processing techniques can lead to increasing of the transmission capacity. Such solutions can be easily integrated. With increasing of modulation rates, negative influences on the transmitted optical signals are growing and so additional bit errors in information flows are emergent. erefore, it is important to design and analyze a perfor- mance of advanced signal processing techniques utilized in the optical transmission medium with respect to its envi- ronmental influences. e simulation can determine trans- mission boundaries of each advanced signal processing tech- nique for the designed optical system and allow comparing all possible solutions before their practical deployment. e simulation allows evaluating possible increasing of data rates and transmission ranges in deployed optical transmission systems using advanced signal processing techniques and designing new optical transmission systems with advanced optical components and fibers. First, basic parameters of the optical fiber and principles of selected encoding techniques are introduced. In this paper, the simulation studies are restricted to the block codes. Con- volutional codes with different rates and constraint lengths can later be considered along with the assumed modulation techniques. en, a comparison of the prepared simulation model with real optical transmission systems measured by the Ciena system is presented. Moreover, a specific application of the optical transmission system with advanced optical signal processing techniques can also be represented in this case. A main attention of the contribution is focused on the analysis of different modulation and encoding techniques at the signal transmission in the optical transmission medium and their possible implementation in real transmission systems. From proposed, realized, and presented signal modulations, only some of them are considered for enhanced analysis, evalua- tion, and comparison purposes. In the final part, selected modulation and encoding techniques implemented on real transmission systems are analyzed for the high data rate signal transmissions. Hindawi Publishing Corporation Journal of Engineering Volume 2016, Article ID 2385372, 10 pages http://dx.doi.org/10.1155/2016/2385372

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Page 1: Research Article Possibilities for Advanced Encoding Techniques at Signal …downloads.hindawi.com/journals/je/2016/2385372.pdf · 2019-07-30 · Research Article Possibilities for

Research ArticlePossibilities for Advanced Encoding Techniques at SignalTransmission in the Optical Transmission Medium

Filip Hertiacutek and Rastislav Roacuteka

Institute of Telecommunications Slovak University of Technology in Bratislava Ilkovicova 3 812 19 Bratislava Slovakia

Correspondence should be addressed to Rastislav Roka rastislavrokastubask

Received 25 November 2015 Accepted 13 March 2016

Academic Editor A S Madhukumar

Copyright copy 2016 F Certık and R Roka This is an open access article distributed under the Creative Commons AttributionLicense which permits unrestricted use distribution and reproduction in any medium provided the original work is properlycited

This paper presents a possible simulation of negative effects in the optical transmission medium and an analysis for the utilizationof different signal processing techniques at the optical signal transmission An attention is focused on the high data rate signaltransmission in the optical fiber influenced by linear and nonlinear environmental effects presented by the prepared simulationmodel The analysis includes possible utilization of OOK BPSK DBPSK BFSK QPSK DQPSK 8PSK and 16QAM modulationtechniques together with RS BCH and LDPC encoding techniques for the signal transmission in the optical fiber Moreover theprepared simulation model is compared with real optical transmission systems In the final part a comparison of the selectedmodulation techniques with different encoding techniques and their implementation in real transmission systems is shown

1 Introduction

Nowadays an interest in the signal transmission throughoptical fibers is rapidly increasing due to the transmissionbandwidth Creating new optical transmission paths can betime consuming and expensive [1ndash4] Therefore more effec-tive approaches are appearing to satisfy increased customerrequests In both electric and optical domains utilizing newadvanced signal processing techniques can lead to increasingof the transmission capacity Such solutions can be easilyintegrated With increasing of modulation rates negativeinfluences on the transmitted optical signals are growing andso additional bit errors in information flows are emergentTherefore it is important to design and analyze a perfor-mance of advanced signal processing techniques utilized inthe optical transmission medium with respect to its envi-ronmental influences The simulation can determine trans-mission boundaries of each advanced signal processing tech-nique for the designed optical system and allow comparingall possible solutions before their practical deployment Thesimulation allows evaluating possible increasing of data ratesand transmission ranges in deployed optical transmissionsystems using advanced signal processing techniques and

designing new optical transmission systems with advancedoptical components and fibers

First basic parameters of the optical fiber and principlesof selected encoding techniques are introduced In this paperthe simulation studies are restricted to the block codes Con-volutional codes with different rates and constraint lengthscan later be considered along with the assumed modulationtechniques Then a comparison of the prepared simulationmodelwith real optical transmission systemsmeasured by theCiena system is presented Moreover a specific application ofthe optical transmission system with advanced optical signalprocessing techniques can also be represented in this case Amain attention of the contribution is focused on the analysisof differentmodulation and encoding techniques at the signaltransmission in the optical transmission medium and theirpossible implementation in real transmission systems Fromproposed realized and presented signal modulations onlysome of them are considered for enhanced analysis evalua-tion and comparison purposes In the final part selectedmodulation and encoding techniques implemented on realtransmission systems are analyzed for the high data ratesignal transmissions

Hindawi Publishing CorporationJournal of EngineeringVolume 2016 Article ID 2385372 10 pageshttpdxdoiorg10115520162385372

2 Journal of Engineering

11 Characteristics of the Optical Fiber Each optical fiber rep-resents a transmission system which is frequency dependentA pulse propagation inside this transmission system can bedescribed by the nonlinear Schrodinger equation (NLSE)which is derivate from Maxwellrsquos equations From the NLSEequation we can express effects in optical fibers that are clas-sified as [5 6]

(a) linear effects which are wavelength dependent(b) nonlinear effects which are intensity (power) depen-

dent

Linear Effects Major impairments of optical signals trans-mitted via the optical fiber environment are mainly causedby linear effects the dispersion and the attenuation Theattenuation limits a power of optical signals and representstransmission losses Nowadays optical transmission systemsare able to minimize impact of the attenuation by deployingall-optical amplifiers Another source of the linear effect rep-resents the dispersion causing broadening of optical pulses intime and signal phase shifting at the fiber endThere are threemain dispersion types [5ndash8]

(i) The modal dispersion caused by the different propa-gation velocity of optical modes propagating in mul-timode fibers

(ii) The chromatic dispersion caused by the differentpropagation velocity ofwavelengths generated in lasersources propagating in the optical fiber It consists ofmaterial profile and waveguide dispersions

(iii) The polarization mode dispersion caused by the bire-fringence effect due to a nonsymmetry and imperfec-tions of optical fibers

Nonlinear Effects These effects play an important role at thelong haul optical signal transmission Nonlinear effects canbe classified as follows

(i) Kerr nonlinearities are self-induced effects where thephase velocity of the pulse depends on the pulsersquos ownintensity The Kerr effect describes a change in thefiber refractive index due to electrical perturbationsDue to the Kerr effect following effects are possible todescribe

(a) Self-phase modulation (SPM) is an effect thatchanges the refractive index of the transmissionmedium caused by the pulse intensity [9 10]

(b) Four-wavemixing (FWM) is an effect where thefourth wave can be arisen by mixing of threeoptical waves and this one can appear in thesame wavelength as one of mixed waves [9]

(c) Cross-phase effect (XPM) is an effect that causesa spectral broadening where the optical pulsecan change the phase of another pulse with dif-ferent wavelengths [9ndash11]

(ii) Scattering nonlinearities occur due to a photon inelas-tic scattering to lower energy photons The pulse

energy is transferred to another wave with a differentwavelength Two such effects appear in the opticalfiber

(a) Stimulated Brillouin scattering (SBS) and stim-ulated Raman scattering (SRS) are effects thatchange a variance of light wave into differentwaves when the intensity reaches a certainthreshold [9ndash11]

12 Principles of Selected Encoding Techniques Forward errorcorrection (FEC) techniques represent a system where addi-tional data are inserted into a data message so that it can berecovered by a receiver even when a number of errors due totransmission is emergent These FEC codes are widely usedin systems where a data retransmission is not an option suchas broadcasting and high haul optical transmission systems[12 13] FEC codes are usually divided into convolutional andblock codes

(i) Convolutional codes are processed on a bit-by-bitbasis

(ii) Block codes are processed on a block-by-block basis

Convolutional codes are based on the encoding signalwith a final impulse response This type of coding does notrequire division of bits into the blocksThe convolution codesmay be decoded using the Viterbi algorithm which is amethod of decoding with maximum reliability This methodis based onfinding themost appropriateway forward throughthe possible states of transitionThe complexity of the Viterbialgorithm increases with the number of states in decodingTherefore it is advisable to use codes that use a small amountof redundancy Convolutional codes have lower resistanceagainst noise than the linear block codes and not using theminimal trellis like linear blocks [13 14]

For analysis block codes especially cyclic block codesare considered Cyclic block codes are widely used in datacommunication because their structure makes encoder anddecoder circuitry simple Cyclic block codes are defined asthe cyclic (119899 119896) code if 119862 is a linear code of the length 119899 overa finite field and if any cyclic shift of a codeword is also acodeword as shown in

1198880 1198881 119888

119899minus1isin 119862 997904rArr 119888

119899minus1 1198880 1198881 119888

119899minus2isin 119862 (1)

The information data with the length 119896 are coded with thepolynomial 119892(119909) using (1) Consider

119888 (119909) = 119894 (119909) 119892 (119909) (2)

where 119888(119909) represents the polynomial of degree (119899 minus 1) 119894(119909)is the information polynomial of degree (119896 minus 1) and thegenerator polynomial 119892(119909)must be of degree (119899 minus 119896)

The Reed-Solomon (RS) codes that belong to cyclic blockcodes are widely used in many communication fields [13 14]The RS codes are related to BCH codes and can be defined asa primitive BCH code of the length 119899 where

119899 = 119902 minus 1 = 2119904minus 1 over GF (119902) = GF (2119904) (3)

Journal of Engineering 3

RS codes are specified as RS(119899 119896) or RS(119899 119896 119889) where119899 represent the code length 119896 represents the informationlength and 119889 is the Hamming distance Let 119905 be a number oferrors that can be corrected then correction (119905) or detection(2119905) abilities are specified for the code There exist twoencoding types for RS codes

(i) Nonsystematic(ii) Systematic

The decoding for RS codes is based on syndrome equa-tions

119904119896=

119905

sum119894=1

119884119894119883119896

119894 119896 = 0 1 2119905 minus 1 (4)

where 119883119894is the locator 119894th error and 119884

119894represents its value

(detection of location and value) More information about RSencoding techniques can be found in [13]

The Bose Chaudhuri Hocquenghem (BCH) code is acyclic polynomial code over a finite field with chosen poly-nomial generator BCH codes are 119905-error correcting codesdefined over finite fields GF(119902) where 2119905 + 1 lt 119902 The advan-tage of BCH codes is using syndrome to decode errors inwhich there exist good decoding algorithms that correctmultiple errors [14]

The generating of a binary BCH code over an extensionfield GF(119902119898) is easy to construct The polynomial generator119892(119909) is needed to obtain a cyclic code [12ndash16] For any integer119898 ge 3 and 119905 lt 2119898 minus 1 there exists a primitive BCH code withparameters 119899 = 2119898 minus 1 119899 minus 119896 le 119898 sdot 119905 and 119889min le 2119905 + 1The generator polynomial119892(119909) of 119905-error correcting primitiveBCH codes of the length 2119898 minus 1 is given by

119892 (119909) = LCM 1198981(119909) 119898

2(119909) 119898

2119905minus1(119909) 119898

2119905(119909) (5)

where LCM represents the Least CommonMultipleThen thecode is generated using (2)

BCH codes are decoded with various algorithm based oncalculation of syndromes values for the received codeword

Low Density Parity Check (LDPC) codes belong to linearencoding techniques that can transmit data close to the Shan-non theorem (the channel capacity) The main disadvantageof the LDPC code is the time consumption of the codealgorithm which often limits its utilization in high datarate optical transmission systems However it is possible toencode more low data rate signals and then merge them intoone high data rate signal The high data rate signal can betransmitted via the optical transmission system

The LDPC coding is defined by the LDPC 119867 matrixAssuming the length of information bits K the length ofencoded bits119873 and the average weigh column119908 gt 2 (weightvectors represent the sum of nonzero components of thevector) then119872 = (119873 minus 119870) is the sum of the parity check incodeThe LDPCmatrix119867 is composed of119872 rows and119873 col-umnsThe generationmatrix119866 is necessary to encode codingsequence [14 15]

Prepared block schemes of mentioned encoding tech-niques in the simulation model are shown in Figures 1 and 2Figure 3 shows the schematic block diagram of LDPC source

Bernoullibinary

Bernoulli binary generator

Multiple

Sample_time

Binary inputRS encoderBinary inputRS encoder

1OutGaussian

Gaussian filter

[Orig]

Goto

times

Figure 1 The block scheme for the signal generation with RS andBCH encoding techniques

signal Blocks are initiated using a Bernoulli generator thatgenerates random binary bits representation of the infor-mation signal The signal is then coded with an adequateencoding technique The output signal is filtered with aGaussian filter for representation of the real signal TheLDPC block is created by using 10 Bernoulli generators eachencoded with the LDPC code and merged into the high datarate signal [16 17]

2 The Simulation of the OpticalTransmission System

The prepared simulation model comes out from the simula-tion model for optical communications introduced in [18ndash20] A modeling is performed in the Matlab Simulink 2014programming environment The simulation model presentsan influence of linear and nonlinear effects present in theoptical transmission medium at the signal transmission Thegeneral schematic block diagram is shown in Figure 4 To ver-ify a reliability and exactness of the simulationmodel authorsrealized a comparison of two optical transmission pathsmea-sured in cooperation with the Orange Slovakia companyTheoptical path 1 consists of the 592 km standard SM (ITU-TG652) fiber with the 10Gbits noncoherent OOKmodulatedsignal using 80WDMchannelsThe optical path 2 consists of1707 km standard SM (ITU-T G652) fiber with the 10Gbitsnoncoherent OOK modulated signal using 80 WDM chan-nels Transmitted signals are examined with the 1934 THzfrequency Both paths are utilizing EDFA amplifiers at theoptical fiber end while the optical path 2 is furthermoreusing additional 3 EDFA amplifiers every 40 km Simulationmodels for the optical path 1 and optical path 2 are shownin Figures 5 and 6 respectively For describing informationsignal transmission a bit error rate (BER) parameter can becalculated The BER calculation for each simulation model isdone by comparing input and output bits For both opticalpaths simulation results show theBERparameter higher than10minus12 satisfying common transmission conditions For bothsimulation models the Reed-Solomon code RS(255 239) isutilized to enhance the system BER parameter

For both optical paths presented simulated andmeasuredtransmission parameters (Tables 1 and 2) include besidesother received optical power level values for calculationsrelated to the attenuation As can be seen parameters arevery similar at which the simulation is characterized byworseones Therefore if the optical simulation is passed then thereal system would be properly and correctly operating

4 Journal of Engineering

Bernoullibinary

Bernoulli binarygenerator Multiple

Sample_time

1OutGaussian

Gaussian filter

LDPC encoder

LDPC encoder

In1 In2 In3

In4 In5

Out In6 MergeIn7In8In9

In10

Bernoullibinary

Bernoulli binarygenerator 1

Multiple 1Sample_time 1

LDPC encoder

LDPC encoder 1

Bernoullibinary

Bernoulli binarygenerator 2

Multiple 2Sample_time 2

LDPC encoder

LDPC encoder 2

Bernoullibinary

Bernoulli binarygenerator 3

Multiple 3Sample_time 3

LDPC encoder

LDPC encoder 3

Bernoullibinary

Bernoulli binarygenerator 4

Multiple 4Sample_time 4

LDPC encoder

LDPC encoder 4

Bernoullibinary

Bernoulli binarygenerator 5

Multiple 5Sample_time 5

LDPC encoder

LDPC encoder 5

Bernoullibinary

Bernoulli binarygenerator 6

Multiple 6Sample_time 6 LDPC encoder

LDPC encoder 6

Bernoullibinary

Bernoulli binarygenerator 7

Multiple 7Sample_time 7

LDPC encoder

LDPC encoder 7

Bernoullibinary

Bernoulli binarygenerator 8

Multiple 8Sample_time 8LDPC encoder

LDPC encoder 8

Bernoullibinary

Bernoulli binarygenerator 9

Multiple 9Sample_time 9LDPC encoder

LDPC encoder 9

timestimes

times

times

times

times

times

times

times

times

10 lowast 1Gbits to 10Gbits

Figure 2 The block scheme for the signal generation with the LDPC encoding technique

Table 1 The optical path 1 transmission parameters

Parameters Measured SimulatedRx power (dBm) minus132 minus134OSNR (dB) 259 243PMD (ps) 106 125SPM (dB) 087 122XPM (dB) minus5759 minus605FWM (dB) NA minus1243119876 799 81BER gt10minus15 gt10minus12

3 The Analysis of Selected Modulation andEncoding Techniques

The first modulation technique used for real optical trans-mission systems was the two-level amplitude modulationOOK with the direct detection This system is characterizedby transmission rates from 1Gbits and its limitation isrepresented by the 10Gbits rate over optical single modefibers with the 50 km line length Nowadays OOK systems

Table 2 The optical path 2 transmission parameters

Parameters Measured SimulatedRx power (dBm) minus1369 minus123OSNR (dB) 2107 209PMD (ps) 174 183SPM (dB) 103 11XPM (dB) minus4202 minus405FWM (dB) NA minus112119876 627 62BER gt10minus15 gt10minus12

are deployed with coherent receivers that can increase thesystem range depending on the receiver sensitivity andthe transmittersrsquo generated noise Coherent systems highlyimprove transmission characteristics but their implemen-tation is expensive due to security mechanisms for phaseand polarization detecting Another possible improvementfor coherent systems is represented by using the Duobinarymodulation This leads to a modification in the electricaldomain that is less costly than in case of exchange optical

Journal of Engineering 5

Merge block

1 0 0 1 1 1 1 10 0

1

111

1

1

00

0

0

Gauss filter 10Gbits

10Gbits

110

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

generatorSample

Figure 3 The schematic block diagram for the signal generation with the LDPC encoding technique

System signal source

System signal source

System signal source

1

2

N

Optical fiber

Circ

ulat

or

Localoscillator

Signal with different wavelength

Signal with different wavelength

Laser source

Electric datasignal

Electric datasignal

Mach-Zehndermodulator

Continuousoptical wave

Wavelengthdivision

multiplex

Erbium dopedfiber

Phase andamplitudedetection

Chromatic andpolarization modedispersion [time

broadening signalphase shift]

Four-wave mixing[intensity noise from

neighbour channels ondifferent wavelength]

[phase noise andsignal frequency shiftdue to signal intensity]

Self-phase andcross-phase modulation

[intensity noise fromneighbour channels

and decreasing signalintensity]

Stimulated Brillouinand Raman scattering

attenuation

Figure 4 The schematic block diagram for the optical transmission system

components For given modulation the Monte Carlo algo-rithm can be used because it allows a measuring of theBER parameter The simulation model uses the standard SM(ITU-T G656) optical fiber The comparison of transmissioncharacteristics for coherent OOK and Duobinary systems isshown in Figure 7

Possible solution can be represented by coherent systemswith phase and frequency modulation techniques which are

represented by BPSK DBPSK and BFSK These modula-tion techniques achieve similar transmission characteristics(shown in Figure 8) where the BPSK achieves better resultsabout 01 dB compared to the DBPSK and about 3 dB com-pared to the FSK

Higher modulation formats can be further used toincrease signal transmission rates in the optical system [21ndash25] Such modulation techniques have a lower tolerance to

6 Journal of Engineering

Out1

Data signal In1 Out1 In2

Demodulator

In1

In2Out1

MZM

Out1

CW

Out1

Cooperating channels

In1

In2

In3

Out1

WDM

Out1

EDFA

SMFmdash592km

Figure 5 The simulation model for the optical path 1

Out1

Data signal In1 Out1 In2 Out1

Erbium doped fiber

In1

In2Out1

MZM

Out1

CW

Out1

Cooperating channels

In1

In2

In3

Out1

WDM

Out1

EDFA

In2

Demodulator

In1 Out1 In2 Out1

Erbium doped fiber 1

In1 Out1 In2 Out1

Erbium doped fiber 2

In1 Out1 In2 Out1

Erbium doped fiber 3

SMFmdash442 km

SMFmdash425 km

SMFmdash433km

SMFmdash407 km

Figure 6 The simulation model for the optical path 2

the optical signal-to-noise ratio (OSNR) and therefore it isnecessary to analyze the BER parameter depending on theOSNR Figure 9 shows transmission characteristics for high-level modulation formats QPSK and DQPSK keying exhibitsimilar resistance to noise as BPSK andDBPSK keying In thiscase the transmission ratewould be increased twice and if thepolarization modulation (PDM) is used then the 40Gbitstransmission rate can be reached This solution requires thedeployment of MZM modulators and the PDM modulatorFor 8PSK and 16QAM modulations the noise resistance isdecreasing around 2 dB that in some systems will lead to

higher bit error rates caused by laser noise amplifier noiseandor nonlinear effects of the optical transmission medium

For improving transmission rates of modulation formatsdifferent encoding techniques can be used [26 27] A com-plete scheme of the prepared optical transmission system isshown in Figure 10 where the total optical fiber length isextended to 320 km

After theoretical analysis the following codes RS(255239) BCH(255 231) and LDPC(960 480)were selectedTheRS and BCH codes are capable of encoding data quicklyup to 10Gbits however the LDPC codes require more

Journal of Engineering 7

0 2 4 6 8 10 12 14 16 18

BER

OOK NRZDuobinary

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

EbN0 (dB)

Figure 7 BER transmission characteristics for OOK keying andDuobinary modulation

0 2 4 6 8 10 12 14 16 18

BER

DBPSKBPSKBFSK

EbN0 (dB)

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

Figure 8 BER transmission characteristics for BPSK DBPSK andBFSK keying

0 2 4 6 8 10 12 14 16 18

BER

DQPSK8PSK

QPSK16QAM

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

EbN0 (dB)

Figure 9 BER transmission characteristics for QPSK DQPSK8PSK and 16QAM keying

time to encode data Therefore 10 data streams are encodedseparately and afterwards multiplexed into one data stream(shown in Figure 2) For analyzing and simulating onlybinary modulation formats are used

A comparison of binary modulation techniques (nonco-herent OOK BPSK and DBPSK) combined with encodingtechniques (RS BCH and LDPC) is shown in Figure 11Encoding techniques can increase the system range from50 km up to 160 km depending on appropriate code Bettertransmission characteristics are achievable through coherentphase modulations BPSK and DBPSK where limitations arebetween 80 and 100 km The BCH and RS codes increasethe range of these systems up to 160 km and this systemrange can be increased up to 230 km by using the LDPCcodeThe LDPC code is more than 50 efficient compared toBCH and RS codes however such a system needs encodingindividual data signals with lower transmission rates than thetotal system transmission rate Therefore it is more effectiveto use the LDPC code inmetropolitan networks where a timemultiplexing is used

4 The Implementation of Modulation andEncoding Techniques

Selected modulation and encoding techniques are imple-mented on the optical transmission system with the standardSM fiber (ITU-TG652) where a data signal with the 10Gbitstransmission rate and 80WDMchannels is transmitted Indi-vidual transmitters are designed using the MZM modulatorwhere a continuous wave generated in the CW-DFB laseris modulated with a data signal generated by the Bernoulligenerator The CW-DFB laser generates a continuous wavewith 1mW power and embeds the 4 dB amplitude noise Itis considered that a phase noise is suppressed The analyzedsignal is transmitted with the 1934 THz optical frequencyand the resulting OSNR is 30 dB For increasing the opticaltransmission path range EDFA amplifiers are used every40 km for amplifying the transmitted signal where a noisefigureNF is equal to 4 dBTheoptical fiberwith a negativeCDis placed before a receiver to compensate the CD effect in thesystemThe received signal is detected by a coherent detectorwhose sensitivity is around minus17 dBm Based on the previousanalysis a hard decision scheme with the LDPC(960 480)code is selected for implementation

First binary modulation techniques can be consideredwhere the OOK has the worst transmission characteristicsand therefore the transmission system range is limited to230 km The analyzed BPSK and BFSK modulations achievesimilar transmission characteristics where both systems arecapable of having a signal transmission over the 300 km linelength with the 10Gbits transmission rate It is optional touse these modulations to achieve the longest transmissionsystem range For increasing transmission rates of thesemodulations it is possible to use a combination with thePDM (PDM-BPSK and PDM-BFSK) where the transmissionrate of these systems will be higher twice (20Gbits) Forachieving higher transmission rates it is necessary to usemultilevel modulation formats The QPSK signal range isaround 300 km where a transmission rate compared with

8 Journal of Engineering

Out1

Data signal In2 Out1

Erbium doped fiber

In1

In2Out1

MZMOut1

CW

Out1

Cooperating channels

In1In2In3

Out1

WDM

Out1

EDFA

In2

Demodulator

In2 Out1

Erbium doped fiber 1

In2 Out1

Erbium doped fiber 2

In2 Out1

Erbium doped fiber 3

In Out

PMD

In Out

CHD

In Out

FWM

In2 Out1

SPM amp XPM

In1 Out1

SRS amp SBS amp attenuation

In Out

PMD1

In Out

CHD1

In Out

FWM1

In2 Out1

SPM amp XPM1

In1 Out1

SRS amp SBS amp attenuation 1

In Out

PMD2

In Out

CHD2

In Out

FWM2

In2 Out1

SPM amp XPM2

In1 Out1

SRS amp SBS amp attenuation 2

In Out

PMD3

In Out

CHD3

In Out

FWM3

In2 Out1

SPM amp XPM3

In1 Out1

SRS amp SBS amp attenuation 3

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Figure 10 The block scheme for analysis of the selected modulation and encoding techniques

Table 3 Comparison of selected modulation techniques implemented for the optical transmission system

Modulation techniques Parameters Fiber length [km]40 80 120 160 200 240 280 320

OOK BER [ ] 10minus12 10minus12 10minus12 10minus9 10minus2 10minus1 10minus1 10minus1

OSNR [dB] 25 19 14 7 2 1 1 1

BPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

DBPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus10 10minus8

OSNR [dB] 27 24 20 17 15 11 8 5

BFSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 28 26 24 21 18 16 13 10

QPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

8PSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus10 10minus6 10minus3 10minus2

OSNR [dB] 27 23 19 14 9 6 2 1

16QAM BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus9 10minus3 10minus1 10minus1

OSNR [dB] 27 22 17 12 7 2 2 1

Calculated BER

BER

0

1

2

3

4

5

6

7

8

9

10

Length (km)0 50 100 150 200 250 300 350

OOKBPSKDBPSK

times10minus3

OOK-RS (255 239)

DBPSK-RS (255 239)

OOK-BCH (255 231)BPSK-BCH (255 231)DBPSK-BCH (255 231)OOK-LDPC (960 480)BPSK-LDPC (960 480)DBPSK-LDPC (960 480)

BPSK-RS (255 239)

Figure 11 Comparison of binary modulation techniques combinedwith encoding techniques

binarymodulations is twice higher Using a combinationwiththe PDM the result transmission rate achieves 40GbitsThe maximum range of 8PSK and 16QAM systems is around200 kmThe decreased range of these systems is due to ampli-fier noises and nonlinear effects in the optical environmentHowever these systems using the PDM have transmissionrates 60Gbits (PDM-8PSK) and 80Gbits (PDM-16QAM)per channel The analysis shows that the range limitationis mainly caused by amplifier noises and nonlinear effectsthat are accumulating For increasing the system range ofmultilevel modulation formats the use of encoding tech-niques such as the LDPC(960 480) code is optional Forfurther improvement of transmission characteristics opticalamplifiers with a low noise figure advanced detectors andsoft encoding schemes can be used However these compo-nents rapidly increase the system cost and particular financialanalysis for the system effectiveness is necessary Outputtransmission characteristics for each modulation techniqueare shown in Table 3

Journal of Engineering 9

5 Conclusion

This contribution analyzes a possible utilization of selectedmodulation and advanced encoding techniques at high datarate signal transmission in optical transmission medium Atfirst the prepared simulation model for optical transmissionsystems with real transmission systems is compared Next aperformance analysis of different binary andmultilevel mod-ulation techniques in combination with RS BCH and LDPCcodes utilized in optical transmission systems is presentedThe simulation results show the limitation of binary modu-lation techniques and their possible improvement using FECcodes The LDPC code can improve a systemrsquos performancefor all modulation schemes Finally a prepared optical systemwith real parameters is enhanced using the LDPC code andselected modulation and encoding techniques are analyzedfor their practical implementation

In future analyses convolutional or turbo codes with dif-ferent rates and constraint length can be considered More-over other recent modulation techniques in possible com-binations with encoding techniques are analyzed Besides autilization of solitons with available optical signal processingtechniques is a very interesting area

Disclosure

This work is a part of research activities conducted atSlovak University of Technology Bratislava Faculty of Elec-trical Engineering and Information Technology Institute ofTelecommunications within the scope of Projects VEGA no1017416 ldquoAdvanced Algorithms and Methods for New Gen-eration Optical Networks for the IMS and NGN ConvergedInfrastructurerdquo and KEGA no 007STU-42016 ldquoProgressiveEducational Methods in the Field of TelecommunicationsMultiservice Networksrdquo

Competing Interests

The authors declare that they have no competing interests

References

[1] K Fukuchi T KasamatsuMMorie et al ldquo1092-Tbs (273times40-Gbs) triple-bandultra-dense WDM optical-repeatered trans-mission experimentrdquo in Proceedings of the Optical Fiber Com-munication Conference (OFC rsquo01) Paper PD24 2001

[2] Z Jia J Yu H-C Chien Z Dong and D Di Huo ldquoField trans-mission of 100G and beyond multiple baud rates and mixedline rates using nyquist-WDM technologyrdquo Journal of LightwaveTechnology vol 30 no 24 Article ID 6235964 pp 3793ndash38042012

[3] H Rohde E Gottwald A Teixeira et al ldquoCoherent ultra denseWDM technology for next generation optical metro and accessnetworksrdquo Journal of Lightwave Technology vol 32 no 10 pp2041ndash2052 2014

[4] H Taga ldquoLong distance transmission experiments using theWDM technologyrdquo Journal of Lightwave Technology vol 14 no6 pp 1287ndash1298 1996

[5] B E A Saleh and M C Teich Fundamentals of PhotonicsWiley-Interscience 1991

[6] L N Binh Optical Fiber Communication Systems CRC PressNew York NY USA 2010

[7] G Keiser Optical Fiber Communications John Wiley amp SonsNew York NY USA 2003

[8] Z Jamaludin A F Abas A S M Noor and M K AbfullahldquoIssues on polarization mode dispersion (PMD) for high speedfiber optics transmissionrdquo Suranaree Journal of Science andTechnology vol 12 no 2 pp 98ndash106 2005

[9] S P Singh andN Singh ldquoNonlinear effects in optical fibers ori-ginmanagement and applicationsrdquoProgress in ElectromagneticsResearch vol 73 pp 249ndash275 2007

[10] E Iannone F Matera A Mecozzi andM SettembreNonlinearOptical Communication Networks TK510359N66 John Wileyamp Sons New York NY USA 1998

[11] D Cotter ldquoNonlinearity in optical fibre communicationsrdquo inNonlinear Optics in Signal Processing RW Eason andAMillerEds vol 49 of Engineering Aspects of Lasers Series SpringerAmsterdam Netherlands 1993

[12] R Hill A First Course in Coding Theory Clarendon PressOxford UK 1980

[13] W Trappe and L C Washington Introduction to CryptographywithCodingTheory PearsonPrenticeHall New JerseyNJUSA2006

[14] J H van Lint Introduction to Coding Theory Springer BerlinGermany 1999

[15] M BossertChannel Coding for Telecommunications JohnWileyamp Sons New York NY USA 1999

[16] F Certık ldquoUtilization of encoding techniques at the signal trans-mission in the optical fiberrdquo in Advances in Signal Processingvol 3 no 2 pp 17ndash24 2015

[17] F Certık ldquoThe analysis of different encoding and modulationtechniques at the signal transmission in the optical mediumrdquo inProceedings of the 37th International Symposium on the Appli-cation of Computers and Operations Research in the MineralIndustry (APCOM rsquo15) pp 978ndash80 STU Publishing HouseBratislava Slovakia

[18] R Roka ldquoFixed transmission mediardquo in Technology and Engi-neering Applications of Simulink S Chakravarty Ed pp 41ndash68InTech Rijeka Croatia 2012

[19] R Roka and F Certık ldquoSimulation tools for broadband passiveoptical networksrdquo in Simulation Technologies in Networking andCommunications Selecting the Best Tool for the Test CRC PressBoca Raton Fla USA 2014

[20] R Roka ldquoThe environment of fixed transmission media andtheir negative influences in the simulationrdquo International Jour-nal ofMathematics and Computers in Simulation vol 9 pp 190ndash205 2015

[21] R Essiambre G Kramer P J Winzer G J Foschini and BGoebel ldquoCapacity limits of optical fiber networksrdquo Journal ofLightwave Technology vol 28 no 4 pp 662ndash701 2010

[22] P J Winzer and R J Essiambre ldquoAdvanced optical modulationformatsrdquo Proceedings of the IEEE vol 94 no 5 pp 952ndash9852006

[23] M I Olmedo T Zuo J B Jensen et al ldquoMultiband carrierlessamplitude phase modulation for high capacity optical datalinksrdquo Journal of Lightwave Technology vol 32 no 4 pp 798ndash804 2014

[24] T Rahman D Rafigue A Napoli et al ldquoUltralong haul 128-Tbs PM-16QAMWDM transmission employing hybrid amplifica-tionrdquo Journal of Lightwave Technology vol 33 no 9 pp 1794ndash1804 2015

10 Journal of Engineering

[25] S Chandrasekhar and X Liu ldquoExperimental investigation onthe performance of closely spaced multi-carrier PDM-QPSKwith digital coherent detectionrdquo Optics Express vol 17 no 24pp 21350ndash21361 2009

[26] I B Djordjevic ldquoGeneralized LDPC codes and turbo-productcodes with reed-muller component codesrdquo in Proceedings of the8th International Conference on Telecommunications in ModernSatellite Cable and Broadcasting Services (TELSIKS rsquo07) pp127ndash134 Nis Serbia September 2007

[27] D Ouchi K Kubo T Mizuochi et al ldquoA fully integrated blockturbo code FEC for 10Gbs optical communication systemsrdquoin Proceedings of the Optical Fiber Communication (OFC rsquo06)Anaheim Calif USA March 2006

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International Journal of

Page 2: Research Article Possibilities for Advanced Encoding Techniques at Signal …downloads.hindawi.com/journals/je/2016/2385372.pdf · 2019-07-30 · Research Article Possibilities for

2 Journal of Engineering

11 Characteristics of the Optical Fiber Each optical fiber rep-resents a transmission system which is frequency dependentA pulse propagation inside this transmission system can bedescribed by the nonlinear Schrodinger equation (NLSE)which is derivate from Maxwellrsquos equations From the NLSEequation we can express effects in optical fibers that are clas-sified as [5 6]

(a) linear effects which are wavelength dependent(b) nonlinear effects which are intensity (power) depen-

dent

Linear Effects Major impairments of optical signals trans-mitted via the optical fiber environment are mainly causedby linear effects the dispersion and the attenuation Theattenuation limits a power of optical signals and representstransmission losses Nowadays optical transmission systemsare able to minimize impact of the attenuation by deployingall-optical amplifiers Another source of the linear effect rep-resents the dispersion causing broadening of optical pulses intime and signal phase shifting at the fiber endThere are threemain dispersion types [5ndash8]

(i) The modal dispersion caused by the different propa-gation velocity of optical modes propagating in mul-timode fibers

(ii) The chromatic dispersion caused by the differentpropagation velocity ofwavelengths generated in lasersources propagating in the optical fiber It consists ofmaterial profile and waveguide dispersions

(iii) The polarization mode dispersion caused by the bire-fringence effect due to a nonsymmetry and imperfec-tions of optical fibers

Nonlinear Effects These effects play an important role at thelong haul optical signal transmission Nonlinear effects canbe classified as follows

(i) Kerr nonlinearities are self-induced effects where thephase velocity of the pulse depends on the pulsersquos ownintensity The Kerr effect describes a change in thefiber refractive index due to electrical perturbationsDue to the Kerr effect following effects are possible todescribe

(a) Self-phase modulation (SPM) is an effect thatchanges the refractive index of the transmissionmedium caused by the pulse intensity [9 10]

(b) Four-wavemixing (FWM) is an effect where thefourth wave can be arisen by mixing of threeoptical waves and this one can appear in thesame wavelength as one of mixed waves [9]

(c) Cross-phase effect (XPM) is an effect that causesa spectral broadening where the optical pulsecan change the phase of another pulse with dif-ferent wavelengths [9ndash11]

(ii) Scattering nonlinearities occur due to a photon inelas-tic scattering to lower energy photons The pulse

energy is transferred to another wave with a differentwavelength Two such effects appear in the opticalfiber

(a) Stimulated Brillouin scattering (SBS) and stim-ulated Raman scattering (SRS) are effects thatchange a variance of light wave into differentwaves when the intensity reaches a certainthreshold [9ndash11]

12 Principles of Selected Encoding Techniques Forward errorcorrection (FEC) techniques represent a system where addi-tional data are inserted into a data message so that it can berecovered by a receiver even when a number of errors due totransmission is emergent These FEC codes are widely usedin systems where a data retransmission is not an option suchas broadcasting and high haul optical transmission systems[12 13] FEC codes are usually divided into convolutional andblock codes

(i) Convolutional codes are processed on a bit-by-bitbasis

(ii) Block codes are processed on a block-by-block basis

Convolutional codes are based on the encoding signalwith a final impulse response This type of coding does notrequire division of bits into the blocksThe convolution codesmay be decoded using the Viterbi algorithm which is amethod of decoding with maximum reliability This methodis based onfinding themost appropriateway forward throughthe possible states of transitionThe complexity of the Viterbialgorithm increases with the number of states in decodingTherefore it is advisable to use codes that use a small amountof redundancy Convolutional codes have lower resistanceagainst noise than the linear block codes and not using theminimal trellis like linear blocks [13 14]

For analysis block codes especially cyclic block codesare considered Cyclic block codes are widely used in datacommunication because their structure makes encoder anddecoder circuitry simple Cyclic block codes are defined asthe cyclic (119899 119896) code if 119862 is a linear code of the length 119899 overa finite field and if any cyclic shift of a codeword is also acodeword as shown in

1198880 1198881 119888

119899minus1isin 119862 997904rArr 119888

119899minus1 1198880 1198881 119888

119899minus2isin 119862 (1)

The information data with the length 119896 are coded with thepolynomial 119892(119909) using (1) Consider

119888 (119909) = 119894 (119909) 119892 (119909) (2)

where 119888(119909) represents the polynomial of degree (119899 minus 1) 119894(119909)is the information polynomial of degree (119896 minus 1) and thegenerator polynomial 119892(119909)must be of degree (119899 minus 119896)

The Reed-Solomon (RS) codes that belong to cyclic blockcodes are widely used in many communication fields [13 14]The RS codes are related to BCH codes and can be defined asa primitive BCH code of the length 119899 where

119899 = 119902 minus 1 = 2119904minus 1 over GF (119902) = GF (2119904) (3)

Journal of Engineering 3

RS codes are specified as RS(119899 119896) or RS(119899 119896 119889) where119899 represent the code length 119896 represents the informationlength and 119889 is the Hamming distance Let 119905 be a number oferrors that can be corrected then correction (119905) or detection(2119905) abilities are specified for the code There exist twoencoding types for RS codes

(i) Nonsystematic(ii) Systematic

The decoding for RS codes is based on syndrome equa-tions

119904119896=

119905

sum119894=1

119884119894119883119896

119894 119896 = 0 1 2119905 minus 1 (4)

where 119883119894is the locator 119894th error and 119884

119894represents its value

(detection of location and value) More information about RSencoding techniques can be found in [13]

The Bose Chaudhuri Hocquenghem (BCH) code is acyclic polynomial code over a finite field with chosen poly-nomial generator BCH codes are 119905-error correcting codesdefined over finite fields GF(119902) where 2119905 + 1 lt 119902 The advan-tage of BCH codes is using syndrome to decode errors inwhich there exist good decoding algorithms that correctmultiple errors [14]

The generating of a binary BCH code over an extensionfield GF(119902119898) is easy to construct The polynomial generator119892(119909) is needed to obtain a cyclic code [12ndash16] For any integer119898 ge 3 and 119905 lt 2119898 minus 1 there exists a primitive BCH code withparameters 119899 = 2119898 minus 1 119899 minus 119896 le 119898 sdot 119905 and 119889min le 2119905 + 1The generator polynomial119892(119909) of 119905-error correcting primitiveBCH codes of the length 2119898 minus 1 is given by

119892 (119909) = LCM 1198981(119909) 119898

2(119909) 119898

2119905minus1(119909) 119898

2119905(119909) (5)

where LCM represents the Least CommonMultipleThen thecode is generated using (2)

BCH codes are decoded with various algorithm based oncalculation of syndromes values for the received codeword

Low Density Parity Check (LDPC) codes belong to linearencoding techniques that can transmit data close to the Shan-non theorem (the channel capacity) The main disadvantageof the LDPC code is the time consumption of the codealgorithm which often limits its utilization in high datarate optical transmission systems However it is possible toencode more low data rate signals and then merge them intoone high data rate signal The high data rate signal can betransmitted via the optical transmission system

The LDPC coding is defined by the LDPC 119867 matrixAssuming the length of information bits K the length ofencoded bits119873 and the average weigh column119908 gt 2 (weightvectors represent the sum of nonzero components of thevector) then119872 = (119873 minus 119870) is the sum of the parity check incodeThe LDPCmatrix119867 is composed of119872 rows and119873 col-umnsThe generationmatrix119866 is necessary to encode codingsequence [14 15]

Prepared block schemes of mentioned encoding tech-niques in the simulation model are shown in Figures 1 and 2Figure 3 shows the schematic block diagram of LDPC source

Bernoullibinary

Bernoulli binary generator

Multiple

Sample_time

Binary inputRS encoderBinary inputRS encoder

1OutGaussian

Gaussian filter

[Orig]

Goto

times

Figure 1 The block scheme for the signal generation with RS andBCH encoding techniques

signal Blocks are initiated using a Bernoulli generator thatgenerates random binary bits representation of the infor-mation signal The signal is then coded with an adequateencoding technique The output signal is filtered with aGaussian filter for representation of the real signal TheLDPC block is created by using 10 Bernoulli generators eachencoded with the LDPC code and merged into the high datarate signal [16 17]

2 The Simulation of the OpticalTransmission System

The prepared simulation model comes out from the simula-tion model for optical communications introduced in [18ndash20] A modeling is performed in the Matlab Simulink 2014programming environment The simulation model presentsan influence of linear and nonlinear effects present in theoptical transmission medium at the signal transmission Thegeneral schematic block diagram is shown in Figure 4 To ver-ify a reliability and exactness of the simulationmodel authorsrealized a comparison of two optical transmission pathsmea-sured in cooperation with the Orange Slovakia companyTheoptical path 1 consists of the 592 km standard SM (ITU-TG652) fiber with the 10Gbits noncoherent OOKmodulatedsignal using 80WDMchannelsThe optical path 2 consists of1707 km standard SM (ITU-T G652) fiber with the 10Gbitsnoncoherent OOK modulated signal using 80 WDM chan-nels Transmitted signals are examined with the 1934 THzfrequency Both paths are utilizing EDFA amplifiers at theoptical fiber end while the optical path 2 is furthermoreusing additional 3 EDFA amplifiers every 40 km Simulationmodels for the optical path 1 and optical path 2 are shownin Figures 5 and 6 respectively For describing informationsignal transmission a bit error rate (BER) parameter can becalculated The BER calculation for each simulation model isdone by comparing input and output bits For both opticalpaths simulation results show theBERparameter higher than10minus12 satisfying common transmission conditions For bothsimulation models the Reed-Solomon code RS(255 239) isutilized to enhance the system BER parameter

For both optical paths presented simulated andmeasuredtransmission parameters (Tables 1 and 2) include besidesother received optical power level values for calculationsrelated to the attenuation As can be seen parameters arevery similar at which the simulation is characterized byworseones Therefore if the optical simulation is passed then thereal system would be properly and correctly operating

4 Journal of Engineering

Bernoullibinary

Bernoulli binarygenerator Multiple

Sample_time

1OutGaussian

Gaussian filter

LDPC encoder

LDPC encoder

In1 In2 In3

In4 In5

Out In6 MergeIn7In8In9

In10

Bernoullibinary

Bernoulli binarygenerator 1

Multiple 1Sample_time 1

LDPC encoder

LDPC encoder 1

Bernoullibinary

Bernoulli binarygenerator 2

Multiple 2Sample_time 2

LDPC encoder

LDPC encoder 2

Bernoullibinary

Bernoulli binarygenerator 3

Multiple 3Sample_time 3

LDPC encoder

LDPC encoder 3

Bernoullibinary

Bernoulli binarygenerator 4

Multiple 4Sample_time 4

LDPC encoder

LDPC encoder 4

Bernoullibinary

Bernoulli binarygenerator 5

Multiple 5Sample_time 5

LDPC encoder

LDPC encoder 5

Bernoullibinary

Bernoulli binarygenerator 6

Multiple 6Sample_time 6 LDPC encoder

LDPC encoder 6

Bernoullibinary

Bernoulli binarygenerator 7

Multiple 7Sample_time 7

LDPC encoder

LDPC encoder 7

Bernoullibinary

Bernoulli binarygenerator 8

Multiple 8Sample_time 8LDPC encoder

LDPC encoder 8

Bernoullibinary

Bernoulli binarygenerator 9

Multiple 9Sample_time 9LDPC encoder

LDPC encoder 9

timestimes

times

times

times

times

times

times

times

times

10 lowast 1Gbits to 10Gbits

Figure 2 The block scheme for the signal generation with the LDPC encoding technique

Table 1 The optical path 1 transmission parameters

Parameters Measured SimulatedRx power (dBm) minus132 minus134OSNR (dB) 259 243PMD (ps) 106 125SPM (dB) 087 122XPM (dB) minus5759 minus605FWM (dB) NA minus1243119876 799 81BER gt10minus15 gt10minus12

3 The Analysis of Selected Modulation andEncoding Techniques

The first modulation technique used for real optical trans-mission systems was the two-level amplitude modulationOOK with the direct detection This system is characterizedby transmission rates from 1Gbits and its limitation isrepresented by the 10Gbits rate over optical single modefibers with the 50 km line length Nowadays OOK systems

Table 2 The optical path 2 transmission parameters

Parameters Measured SimulatedRx power (dBm) minus1369 minus123OSNR (dB) 2107 209PMD (ps) 174 183SPM (dB) 103 11XPM (dB) minus4202 minus405FWM (dB) NA minus112119876 627 62BER gt10minus15 gt10minus12

are deployed with coherent receivers that can increase thesystem range depending on the receiver sensitivity andthe transmittersrsquo generated noise Coherent systems highlyimprove transmission characteristics but their implemen-tation is expensive due to security mechanisms for phaseand polarization detecting Another possible improvementfor coherent systems is represented by using the Duobinarymodulation This leads to a modification in the electricaldomain that is less costly than in case of exchange optical

Journal of Engineering 5

Merge block

1 0 0 1 1 1 1 10 0

1

111

1

1

00

0

0

Gauss filter 10Gbits

10Gbits

110

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

generatorSample

Figure 3 The schematic block diagram for the signal generation with the LDPC encoding technique

System signal source

System signal source

System signal source

1

2

N

Optical fiber

Circ

ulat

or

Localoscillator

Signal with different wavelength

Signal with different wavelength

Laser source

Electric datasignal

Electric datasignal

Mach-Zehndermodulator

Continuousoptical wave

Wavelengthdivision

multiplex

Erbium dopedfiber

Phase andamplitudedetection

Chromatic andpolarization modedispersion [time

broadening signalphase shift]

Four-wave mixing[intensity noise from

neighbour channels ondifferent wavelength]

[phase noise andsignal frequency shiftdue to signal intensity]

Self-phase andcross-phase modulation

[intensity noise fromneighbour channels

and decreasing signalintensity]

Stimulated Brillouinand Raman scattering

attenuation

Figure 4 The schematic block diagram for the optical transmission system

components For given modulation the Monte Carlo algo-rithm can be used because it allows a measuring of theBER parameter The simulation model uses the standard SM(ITU-T G656) optical fiber The comparison of transmissioncharacteristics for coherent OOK and Duobinary systems isshown in Figure 7

Possible solution can be represented by coherent systemswith phase and frequency modulation techniques which are

represented by BPSK DBPSK and BFSK These modula-tion techniques achieve similar transmission characteristics(shown in Figure 8) where the BPSK achieves better resultsabout 01 dB compared to the DBPSK and about 3 dB com-pared to the FSK

Higher modulation formats can be further used toincrease signal transmission rates in the optical system [21ndash25] Such modulation techniques have a lower tolerance to

6 Journal of Engineering

Out1

Data signal In1 Out1 In2

Demodulator

In1

In2Out1

MZM

Out1

CW

Out1

Cooperating channels

In1

In2

In3

Out1

WDM

Out1

EDFA

SMFmdash592km

Figure 5 The simulation model for the optical path 1

Out1

Data signal In1 Out1 In2 Out1

Erbium doped fiber

In1

In2Out1

MZM

Out1

CW

Out1

Cooperating channels

In1

In2

In3

Out1

WDM

Out1

EDFA

In2

Demodulator

In1 Out1 In2 Out1

Erbium doped fiber 1

In1 Out1 In2 Out1

Erbium doped fiber 2

In1 Out1 In2 Out1

Erbium doped fiber 3

SMFmdash442 km

SMFmdash425 km

SMFmdash433km

SMFmdash407 km

Figure 6 The simulation model for the optical path 2

the optical signal-to-noise ratio (OSNR) and therefore it isnecessary to analyze the BER parameter depending on theOSNR Figure 9 shows transmission characteristics for high-level modulation formats QPSK and DQPSK keying exhibitsimilar resistance to noise as BPSK andDBPSK keying In thiscase the transmission ratewould be increased twice and if thepolarization modulation (PDM) is used then the 40Gbitstransmission rate can be reached This solution requires thedeployment of MZM modulators and the PDM modulatorFor 8PSK and 16QAM modulations the noise resistance isdecreasing around 2 dB that in some systems will lead to

higher bit error rates caused by laser noise amplifier noiseandor nonlinear effects of the optical transmission medium

For improving transmission rates of modulation formatsdifferent encoding techniques can be used [26 27] A com-plete scheme of the prepared optical transmission system isshown in Figure 10 where the total optical fiber length isextended to 320 km

After theoretical analysis the following codes RS(255239) BCH(255 231) and LDPC(960 480)were selectedTheRS and BCH codes are capable of encoding data quicklyup to 10Gbits however the LDPC codes require more

Journal of Engineering 7

0 2 4 6 8 10 12 14 16 18

BER

OOK NRZDuobinary

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

EbN0 (dB)

Figure 7 BER transmission characteristics for OOK keying andDuobinary modulation

0 2 4 6 8 10 12 14 16 18

BER

DBPSKBPSKBFSK

EbN0 (dB)

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

Figure 8 BER transmission characteristics for BPSK DBPSK andBFSK keying

0 2 4 6 8 10 12 14 16 18

BER

DQPSK8PSK

QPSK16QAM

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

EbN0 (dB)

Figure 9 BER transmission characteristics for QPSK DQPSK8PSK and 16QAM keying

time to encode data Therefore 10 data streams are encodedseparately and afterwards multiplexed into one data stream(shown in Figure 2) For analyzing and simulating onlybinary modulation formats are used

A comparison of binary modulation techniques (nonco-herent OOK BPSK and DBPSK) combined with encodingtechniques (RS BCH and LDPC) is shown in Figure 11Encoding techniques can increase the system range from50 km up to 160 km depending on appropriate code Bettertransmission characteristics are achievable through coherentphase modulations BPSK and DBPSK where limitations arebetween 80 and 100 km The BCH and RS codes increasethe range of these systems up to 160 km and this systemrange can be increased up to 230 km by using the LDPCcodeThe LDPC code is more than 50 efficient compared toBCH and RS codes however such a system needs encodingindividual data signals with lower transmission rates than thetotal system transmission rate Therefore it is more effectiveto use the LDPC code inmetropolitan networks where a timemultiplexing is used

4 The Implementation of Modulation andEncoding Techniques

Selected modulation and encoding techniques are imple-mented on the optical transmission system with the standardSM fiber (ITU-TG652) where a data signal with the 10Gbitstransmission rate and 80WDMchannels is transmitted Indi-vidual transmitters are designed using the MZM modulatorwhere a continuous wave generated in the CW-DFB laseris modulated with a data signal generated by the Bernoulligenerator The CW-DFB laser generates a continuous wavewith 1mW power and embeds the 4 dB amplitude noise Itis considered that a phase noise is suppressed The analyzedsignal is transmitted with the 1934 THz optical frequencyand the resulting OSNR is 30 dB For increasing the opticaltransmission path range EDFA amplifiers are used every40 km for amplifying the transmitted signal where a noisefigureNF is equal to 4 dBTheoptical fiberwith a negativeCDis placed before a receiver to compensate the CD effect in thesystemThe received signal is detected by a coherent detectorwhose sensitivity is around minus17 dBm Based on the previousanalysis a hard decision scheme with the LDPC(960 480)code is selected for implementation

First binary modulation techniques can be consideredwhere the OOK has the worst transmission characteristicsand therefore the transmission system range is limited to230 km The analyzed BPSK and BFSK modulations achievesimilar transmission characteristics where both systems arecapable of having a signal transmission over the 300 km linelength with the 10Gbits transmission rate It is optional touse these modulations to achieve the longest transmissionsystem range For increasing transmission rates of thesemodulations it is possible to use a combination with thePDM (PDM-BPSK and PDM-BFSK) where the transmissionrate of these systems will be higher twice (20Gbits) Forachieving higher transmission rates it is necessary to usemultilevel modulation formats The QPSK signal range isaround 300 km where a transmission rate compared with

8 Journal of Engineering

Out1

Data signal In2 Out1

Erbium doped fiber

In1

In2Out1

MZMOut1

CW

Out1

Cooperating channels

In1In2In3

Out1

WDM

Out1

EDFA

In2

Demodulator

In2 Out1

Erbium doped fiber 1

In2 Out1

Erbium doped fiber 2

In2 Out1

Erbium doped fiber 3

In Out

PMD

In Out

CHD

In Out

FWM

In2 Out1

SPM amp XPM

In1 Out1

SRS amp SBS amp attenuation

In Out

PMD1

In Out

CHD1

In Out

FWM1

In2 Out1

SPM amp XPM1

In1 Out1

SRS amp SBS amp attenuation 1

In Out

PMD2

In Out

CHD2

In Out

FWM2

In2 Out1

SPM amp XPM2

In1 Out1

SRS amp SBS amp attenuation 2

In Out

PMD3

In Out

CHD3

In Out

FWM3

In2 Out1

SPM amp XPM3

In1 Out1

SRS amp SBS amp attenuation 3

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Figure 10 The block scheme for analysis of the selected modulation and encoding techniques

Table 3 Comparison of selected modulation techniques implemented for the optical transmission system

Modulation techniques Parameters Fiber length [km]40 80 120 160 200 240 280 320

OOK BER [ ] 10minus12 10minus12 10minus12 10minus9 10minus2 10minus1 10minus1 10minus1

OSNR [dB] 25 19 14 7 2 1 1 1

BPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

DBPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus10 10minus8

OSNR [dB] 27 24 20 17 15 11 8 5

BFSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 28 26 24 21 18 16 13 10

QPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

8PSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus10 10minus6 10minus3 10minus2

OSNR [dB] 27 23 19 14 9 6 2 1

16QAM BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus9 10minus3 10minus1 10minus1

OSNR [dB] 27 22 17 12 7 2 2 1

Calculated BER

BER

0

1

2

3

4

5

6

7

8

9

10

Length (km)0 50 100 150 200 250 300 350

OOKBPSKDBPSK

times10minus3

OOK-RS (255 239)

DBPSK-RS (255 239)

OOK-BCH (255 231)BPSK-BCH (255 231)DBPSK-BCH (255 231)OOK-LDPC (960 480)BPSK-LDPC (960 480)DBPSK-LDPC (960 480)

BPSK-RS (255 239)

Figure 11 Comparison of binary modulation techniques combinedwith encoding techniques

binarymodulations is twice higher Using a combinationwiththe PDM the result transmission rate achieves 40GbitsThe maximum range of 8PSK and 16QAM systems is around200 kmThe decreased range of these systems is due to ampli-fier noises and nonlinear effects in the optical environmentHowever these systems using the PDM have transmissionrates 60Gbits (PDM-8PSK) and 80Gbits (PDM-16QAM)per channel The analysis shows that the range limitationis mainly caused by amplifier noises and nonlinear effectsthat are accumulating For increasing the system range ofmultilevel modulation formats the use of encoding tech-niques such as the LDPC(960 480) code is optional Forfurther improvement of transmission characteristics opticalamplifiers with a low noise figure advanced detectors andsoft encoding schemes can be used However these compo-nents rapidly increase the system cost and particular financialanalysis for the system effectiveness is necessary Outputtransmission characteristics for each modulation techniqueare shown in Table 3

Journal of Engineering 9

5 Conclusion

This contribution analyzes a possible utilization of selectedmodulation and advanced encoding techniques at high datarate signal transmission in optical transmission medium Atfirst the prepared simulation model for optical transmissionsystems with real transmission systems is compared Next aperformance analysis of different binary andmultilevel mod-ulation techniques in combination with RS BCH and LDPCcodes utilized in optical transmission systems is presentedThe simulation results show the limitation of binary modu-lation techniques and their possible improvement using FECcodes The LDPC code can improve a systemrsquos performancefor all modulation schemes Finally a prepared optical systemwith real parameters is enhanced using the LDPC code andselected modulation and encoding techniques are analyzedfor their practical implementation

In future analyses convolutional or turbo codes with dif-ferent rates and constraint length can be considered More-over other recent modulation techniques in possible com-binations with encoding techniques are analyzed Besides autilization of solitons with available optical signal processingtechniques is a very interesting area

Disclosure

This work is a part of research activities conducted atSlovak University of Technology Bratislava Faculty of Elec-trical Engineering and Information Technology Institute ofTelecommunications within the scope of Projects VEGA no1017416 ldquoAdvanced Algorithms and Methods for New Gen-eration Optical Networks for the IMS and NGN ConvergedInfrastructurerdquo and KEGA no 007STU-42016 ldquoProgressiveEducational Methods in the Field of TelecommunicationsMultiservice Networksrdquo

Competing Interests

The authors declare that they have no competing interests

References

[1] K Fukuchi T KasamatsuMMorie et al ldquo1092-Tbs (273times40-Gbs) triple-bandultra-dense WDM optical-repeatered trans-mission experimentrdquo in Proceedings of the Optical Fiber Com-munication Conference (OFC rsquo01) Paper PD24 2001

[2] Z Jia J Yu H-C Chien Z Dong and D Di Huo ldquoField trans-mission of 100G and beyond multiple baud rates and mixedline rates using nyquist-WDM technologyrdquo Journal of LightwaveTechnology vol 30 no 24 Article ID 6235964 pp 3793ndash38042012

[3] H Rohde E Gottwald A Teixeira et al ldquoCoherent ultra denseWDM technology for next generation optical metro and accessnetworksrdquo Journal of Lightwave Technology vol 32 no 10 pp2041ndash2052 2014

[4] H Taga ldquoLong distance transmission experiments using theWDM technologyrdquo Journal of Lightwave Technology vol 14 no6 pp 1287ndash1298 1996

[5] B E A Saleh and M C Teich Fundamentals of PhotonicsWiley-Interscience 1991

[6] L N Binh Optical Fiber Communication Systems CRC PressNew York NY USA 2010

[7] G Keiser Optical Fiber Communications John Wiley amp SonsNew York NY USA 2003

[8] Z Jamaludin A F Abas A S M Noor and M K AbfullahldquoIssues on polarization mode dispersion (PMD) for high speedfiber optics transmissionrdquo Suranaree Journal of Science andTechnology vol 12 no 2 pp 98ndash106 2005

[9] S P Singh andN Singh ldquoNonlinear effects in optical fibers ori-ginmanagement and applicationsrdquoProgress in ElectromagneticsResearch vol 73 pp 249ndash275 2007

[10] E Iannone F Matera A Mecozzi andM SettembreNonlinearOptical Communication Networks TK510359N66 John Wileyamp Sons New York NY USA 1998

[11] D Cotter ldquoNonlinearity in optical fibre communicationsrdquo inNonlinear Optics in Signal Processing RW Eason andAMillerEds vol 49 of Engineering Aspects of Lasers Series SpringerAmsterdam Netherlands 1993

[12] R Hill A First Course in Coding Theory Clarendon PressOxford UK 1980

[13] W Trappe and L C Washington Introduction to CryptographywithCodingTheory PearsonPrenticeHall New JerseyNJUSA2006

[14] J H van Lint Introduction to Coding Theory Springer BerlinGermany 1999

[15] M BossertChannel Coding for Telecommunications JohnWileyamp Sons New York NY USA 1999

[16] F Certık ldquoUtilization of encoding techniques at the signal trans-mission in the optical fiberrdquo in Advances in Signal Processingvol 3 no 2 pp 17ndash24 2015

[17] F Certık ldquoThe analysis of different encoding and modulationtechniques at the signal transmission in the optical mediumrdquo inProceedings of the 37th International Symposium on the Appli-cation of Computers and Operations Research in the MineralIndustry (APCOM rsquo15) pp 978ndash80 STU Publishing HouseBratislava Slovakia

[18] R Roka ldquoFixed transmission mediardquo in Technology and Engi-neering Applications of Simulink S Chakravarty Ed pp 41ndash68InTech Rijeka Croatia 2012

[19] R Roka and F Certık ldquoSimulation tools for broadband passiveoptical networksrdquo in Simulation Technologies in Networking andCommunications Selecting the Best Tool for the Test CRC PressBoca Raton Fla USA 2014

[20] R Roka ldquoThe environment of fixed transmission media andtheir negative influences in the simulationrdquo International Jour-nal ofMathematics and Computers in Simulation vol 9 pp 190ndash205 2015

[21] R Essiambre G Kramer P J Winzer G J Foschini and BGoebel ldquoCapacity limits of optical fiber networksrdquo Journal ofLightwave Technology vol 28 no 4 pp 662ndash701 2010

[22] P J Winzer and R J Essiambre ldquoAdvanced optical modulationformatsrdquo Proceedings of the IEEE vol 94 no 5 pp 952ndash9852006

[23] M I Olmedo T Zuo J B Jensen et al ldquoMultiband carrierlessamplitude phase modulation for high capacity optical datalinksrdquo Journal of Lightwave Technology vol 32 no 4 pp 798ndash804 2014

[24] T Rahman D Rafigue A Napoli et al ldquoUltralong haul 128-Tbs PM-16QAMWDM transmission employing hybrid amplifica-tionrdquo Journal of Lightwave Technology vol 33 no 9 pp 1794ndash1804 2015

10 Journal of Engineering

[25] S Chandrasekhar and X Liu ldquoExperimental investigation onthe performance of closely spaced multi-carrier PDM-QPSKwith digital coherent detectionrdquo Optics Express vol 17 no 24pp 21350ndash21361 2009

[26] I B Djordjevic ldquoGeneralized LDPC codes and turbo-productcodes with reed-muller component codesrdquo in Proceedings of the8th International Conference on Telecommunications in ModernSatellite Cable and Broadcasting Services (TELSIKS rsquo07) pp127ndash134 Nis Serbia September 2007

[27] D Ouchi K Kubo T Mizuochi et al ldquoA fully integrated blockturbo code FEC for 10Gbs optical communication systemsrdquoin Proceedings of the Optical Fiber Communication (OFC rsquo06)Anaheim Calif USA March 2006

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DistributedSensor Networks

International Journal of

Page 3: Research Article Possibilities for Advanced Encoding Techniques at Signal …downloads.hindawi.com/journals/je/2016/2385372.pdf · 2019-07-30 · Research Article Possibilities for

Journal of Engineering 3

RS codes are specified as RS(119899 119896) or RS(119899 119896 119889) where119899 represent the code length 119896 represents the informationlength and 119889 is the Hamming distance Let 119905 be a number oferrors that can be corrected then correction (119905) or detection(2119905) abilities are specified for the code There exist twoencoding types for RS codes

(i) Nonsystematic(ii) Systematic

The decoding for RS codes is based on syndrome equa-tions

119904119896=

119905

sum119894=1

119884119894119883119896

119894 119896 = 0 1 2119905 minus 1 (4)

where 119883119894is the locator 119894th error and 119884

119894represents its value

(detection of location and value) More information about RSencoding techniques can be found in [13]

The Bose Chaudhuri Hocquenghem (BCH) code is acyclic polynomial code over a finite field with chosen poly-nomial generator BCH codes are 119905-error correcting codesdefined over finite fields GF(119902) where 2119905 + 1 lt 119902 The advan-tage of BCH codes is using syndrome to decode errors inwhich there exist good decoding algorithms that correctmultiple errors [14]

The generating of a binary BCH code over an extensionfield GF(119902119898) is easy to construct The polynomial generator119892(119909) is needed to obtain a cyclic code [12ndash16] For any integer119898 ge 3 and 119905 lt 2119898 minus 1 there exists a primitive BCH code withparameters 119899 = 2119898 minus 1 119899 minus 119896 le 119898 sdot 119905 and 119889min le 2119905 + 1The generator polynomial119892(119909) of 119905-error correcting primitiveBCH codes of the length 2119898 minus 1 is given by

119892 (119909) = LCM 1198981(119909) 119898

2(119909) 119898

2119905minus1(119909) 119898

2119905(119909) (5)

where LCM represents the Least CommonMultipleThen thecode is generated using (2)

BCH codes are decoded with various algorithm based oncalculation of syndromes values for the received codeword

Low Density Parity Check (LDPC) codes belong to linearencoding techniques that can transmit data close to the Shan-non theorem (the channel capacity) The main disadvantageof the LDPC code is the time consumption of the codealgorithm which often limits its utilization in high datarate optical transmission systems However it is possible toencode more low data rate signals and then merge them intoone high data rate signal The high data rate signal can betransmitted via the optical transmission system

The LDPC coding is defined by the LDPC 119867 matrixAssuming the length of information bits K the length ofencoded bits119873 and the average weigh column119908 gt 2 (weightvectors represent the sum of nonzero components of thevector) then119872 = (119873 minus 119870) is the sum of the parity check incodeThe LDPCmatrix119867 is composed of119872 rows and119873 col-umnsThe generationmatrix119866 is necessary to encode codingsequence [14 15]

Prepared block schemes of mentioned encoding tech-niques in the simulation model are shown in Figures 1 and 2Figure 3 shows the schematic block diagram of LDPC source

Bernoullibinary

Bernoulli binary generator

Multiple

Sample_time

Binary inputRS encoderBinary inputRS encoder

1OutGaussian

Gaussian filter

[Orig]

Goto

times

Figure 1 The block scheme for the signal generation with RS andBCH encoding techniques

signal Blocks are initiated using a Bernoulli generator thatgenerates random binary bits representation of the infor-mation signal The signal is then coded with an adequateencoding technique The output signal is filtered with aGaussian filter for representation of the real signal TheLDPC block is created by using 10 Bernoulli generators eachencoded with the LDPC code and merged into the high datarate signal [16 17]

2 The Simulation of the OpticalTransmission System

The prepared simulation model comes out from the simula-tion model for optical communications introduced in [18ndash20] A modeling is performed in the Matlab Simulink 2014programming environment The simulation model presentsan influence of linear and nonlinear effects present in theoptical transmission medium at the signal transmission Thegeneral schematic block diagram is shown in Figure 4 To ver-ify a reliability and exactness of the simulationmodel authorsrealized a comparison of two optical transmission pathsmea-sured in cooperation with the Orange Slovakia companyTheoptical path 1 consists of the 592 km standard SM (ITU-TG652) fiber with the 10Gbits noncoherent OOKmodulatedsignal using 80WDMchannelsThe optical path 2 consists of1707 km standard SM (ITU-T G652) fiber with the 10Gbitsnoncoherent OOK modulated signal using 80 WDM chan-nels Transmitted signals are examined with the 1934 THzfrequency Both paths are utilizing EDFA amplifiers at theoptical fiber end while the optical path 2 is furthermoreusing additional 3 EDFA amplifiers every 40 km Simulationmodels for the optical path 1 and optical path 2 are shownin Figures 5 and 6 respectively For describing informationsignal transmission a bit error rate (BER) parameter can becalculated The BER calculation for each simulation model isdone by comparing input and output bits For both opticalpaths simulation results show theBERparameter higher than10minus12 satisfying common transmission conditions For bothsimulation models the Reed-Solomon code RS(255 239) isutilized to enhance the system BER parameter

For both optical paths presented simulated andmeasuredtransmission parameters (Tables 1 and 2) include besidesother received optical power level values for calculationsrelated to the attenuation As can be seen parameters arevery similar at which the simulation is characterized byworseones Therefore if the optical simulation is passed then thereal system would be properly and correctly operating

4 Journal of Engineering

Bernoullibinary

Bernoulli binarygenerator Multiple

Sample_time

1OutGaussian

Gaussian filter

LDPC encoder

LDPC encoder

In1 In2 In3

In4 In5

Out In6 MergeIn7In8In9

In10

Bernoullibinary

Bernoulli binarygenerator 1

Multiple 1Sample_time 1

LDPC encoder

LDPC encoder 1

Bernoullibinary

Bernoulli binarygenerator 2

Multiple 2Sample_time 2

LDPC encoder

LDPC encoder 2

Bernoullibinary

Bernoulli binarygenerator 3

Multiple 3Sample_time 3

LDPC encoder

LDPC encoder 3

Bernoullibinary

Bernoulli binarygenerator 4

Multiple 4Sample_time 4

LDPC encoder

LDPC encoder 4

Bernoullibinary

Bernoulli binarygenerator 5

Multiple 5Sample_time 5

LDPC encoder

LDPC encoder 5

Bernoullibinary

Bernoulli binarygenerator 6

Multiple 6Sample_time 6 LDPC encoder

LDPC encoder 6

Bernoullibinary

Bernoulli binarygenerator 7

Multiple 7Sample_time 7

LDPC encoder

LDPC encoder 7

Bernoullibinary

Bernoulli binarygenerator 8

Multiple 8Sample_time 8LDPC encoder

LDPC encoder 8

Bernoullibinary

Bernoulli binarygenerator 9

Multiple 9Sample_time 9LDPC encoder

LDPC encoder 9

timestimes

times

times

times

times

times

times

times

times

10 lowast 1Gbits to 10Gbits

Figure 2 The block scheme for the signal generation with the LDPC encoding technique

Table 1 The optical path 1 transmission parameters

Parameters Measured SimulatedRx power (dBm) minus132 minus134OSNR (dB) 259 243PMD (ps) 106 125SPM (dB) 087 122XPM (dB) minus5759 minus605FWM (dB) NA minus1243119876 799 81BER gt10minus15 gt10minus12

3 The Analysis of Selected Modulation andEncoding Techniques

The first modulation technique used for real optical trans-mission systems was the two-level amplitude modulationOOK with the direct detection This system is characterizedby transmission rates from 1Gbits and its limitation isrepresented by the 10Gbits rate over optical single modefibers with the 50 km line length Nowadays OOK systems

Table 2 The optical path 2 transmission parameters

Parameters Measured SimulatedRx power (dBm) minus1369 minus123OSNR (dB) 2107 209PMD (ps) 174 183SPM (dB) 103 11XPM (dB) minus4202 minus405FWM (dB) NA minus112119876 627 62BER gt10minus15 gt10minus12

are deployed with coherent receivers that can increase thesystem range depending on the receiver sensitivity andthe transmittersrsquo generated noise Coherent systems highlyimprove transmission characteristics but their implemen-tation is expensive due to security mechanisms for phaseand polarization detecting Another possible improvementfor coherent systems is represented by using the Duobinarymodulation This leads to a modification in the electricaldomain that is less costly than in case of exchange optical

Journal of Engineering 5

Merge block

1 0 0 1 1 1 1 10 0

1

111

1

1

00

0

0

Gauss filter 10Gbits

10Gbits

110

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

generatorSample

Figure 3 The schematic block diagram for the signal generation with the LDPC encoding technique

System signal source

System signal source

System signal source

1

2

N

Optical fiber

Circ

ulat

or

Localoscillator

Signal with different wavelength

Signal with different wavelength

Laser source

Electric datasignal

Electric datasignal

Mach-Zehndermodulator

Continuousoptical wave

Wavelengthdivision

multiplex

Erbium dopedfiber

Phase andamplitudedetection

Chromatic andpolarization modedispersion [time

broadening signalphase shift]

Four-wave mixing[intensity noise from

neighbour channels ondifferent wavelength]

[phase noise andsignal frequency shiftdue to signal intensity]

Self-phase andcross-phase modulation

[intensity noise fromneighbour channels

and decreasing signalintensity]

Stimulated Brillouinand Raman scattering

attenuation

Figure 4 The schematic block diagram for the optical transmission system

components For given modulation the Monte Carlo algo-rithm can be used because it allows a measuring of theBER parameter The simulation model uses the standard SM(ITU-T G656) optical fiber The comparison of transmissioncharacteristics for coherent OOK and Duobinary systems isshown in Figure 7

Possible solution can be represented by coherent systemswith phase and frequency modulation techniques which are

represented by BPSK DBPSK and BFSK These modula-tion techniques achieve similar transmission characteristics(shown in Figure 8) where the BPSK achieves better resultsabout 01 dB compared to the DBPSK and about 3 dB com-pared to the FSK

Higher modulation formats can be further used toincrease signal transmission rates in the optical system [21ndash25] Such modulation techniques have a lower tolerance to

6 Journal of Engineering

Out1

Data signal In1 Out1 In2

Demodulator

In1

In2Out1

MZM

Out1

CW

Out1

Cooperating channels

In1

In2

In3

Out1

WDM

Out1

EDFA

SMFmdash592km

Figure 5 The simulation model for the optical path 1

Out1

Data signal In1 Out1 In2 Out1

Erbium doped fiber

In1

In2Out1

MZM

Out1

CW

Out1

Cooperating channels

In1

In2

In3

Out1

WDM

Out1

EDFA

In2

Demodulator

In1 Out1 In2 Out1

Erbium doped fiber 1

In1 Out1 In2 Out1

Erbium doped fiber 2

In1 Out1 In2 Out1

Erbium doped fiber 3

SMFmdash442 km

SMFmdash425 km

SMFmdash433km

SMFmdash407 km

Figure 6 The simulation model for the optical path 2

the optical signal-to-noise ratio (OSNR) and therefore it isnecessary to analyze the BER parameter depending on theOSNR Figure 9 shows transmission characteristics for high-level modulation formats QPSK and DQPSK keying exhibitsimilar resistance to noise as BPSK andDBPSK keying In thiscase the transmission ratewould be increased twice and if thepolarization modulation (PDM) is used then the 40Gbitstransmission rate can be reached This solution requires thedeployment of MZM modulators and the PDM modulatorFor 8PSK and 16QAM modulations the noise resistance isdecreasing around 2 dB that in some systems will lead to

higher bit error rates caused by laser noise amplifier noiseandor nonlinear effects of the optical transmission medium

For improving transmission rates of modulation formatsdifferent encoding techniques can be used [26 27] A com-plete scheme of the prepared optical transmission system isshown in Figure 10 where the total optical fiber length isextended to 320 km

After theoretical analysis the following codes RS(255239) BCH(255 231) and LDPC(960 480)were selectedTheRS and BCH codes are capable of encoding data quicklyup to 10Gbits however the LDPC codes require more

Journal of Engineering 7

0 2 4 6 8 10 12 14 16 18

BER

OOK NRZDuobinary

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

EbN0 (dB)

Figure 7 BER transmission characteristics for OOK keying andDuobinary modulation

0 2 4 6 8 10 12 14 16 18

BER

DBPSKBPSKBFSK

EbN0 (dB)

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

Figure 8 BER transmission characteristics for BPSK DBPSK andBFSK keying

0 2 4 6 8 10 12 14 16 18

BER

DQPSK8PSK

QPSK16QAM

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

EbN0 (dB)

Figure 9 BER transmission characteristics for QPSK DQPSK8PSK and 16QAM keying

time to encode data Therefore 10 data streams are encodedseparately and afterwards multiplexed into one data stream(shown in Figure 2) For analyzing and simulating onlybinary modulation formats are used

A comparison of binary modulation techniques (nonco-herent OOK BPSK and DBPSK) combined with encodingtechniques (RS BCH and LDPC) is shown in Figure 11Encoding techniques can increase the system range from50 km up to 160 km depending on appropriate code Bettertransmission characteristics are achievable through coherentphase modulations BPSK and DBPSK where limitations arebetween 80 and 100 km The BCH and RS codes increasethe range of these systems up to 160 km and this systemrange can be increased up to 230 km by using the LDPCcodeThe LDPC code is more than 50 efficient compared toBCH and RS codes however such a system needs encodingindividual data signals with lower transmission rates than thetotal system transmission rate Therefore it is more effectiveto use the LDPC code inmetropolitan networks where a timemultiplexing is used

4 The Implementation of Modulation andEncoding Techniques

Selected modulation and encoding techniques are imple-mented on the optical transmission system with the standardSM fiber (ITU-TG652) where a data signal with the 10Gbitstransmission rate and 80WDMchannels is transmitted Indi-vidual transmitters are designed using the MZM modulatorwhere a continuous wave generated in the CW-DFB laseris modulated with a data signal generated by the Bernoulligenerator The CW-DFB laser generates a continuous wavewith 1mW power and embeds the 4 dB amplitude noise Itis considered that a phase noise is suppressed The analyzedsignal is transmitted with the 1934 THz optical frequencyand the resulting OSNR is 30 dB For increasing the opticaltransmission path range EDFA amplifiers are used every40 km for amplifying the transmitted signal where a noisefigureNF is equal to 4 dBTheoptical fiberwith a negativeCDis placed before a receiver to compensate the CD effect in thesystemThe received signal is detected by a coherent detectorwhose sensitivity is around minus17 dBm Based on the previousanalysis a hard decision scheme with the LDPC(960 480)code is selected for implementation

First binary modulation techniques can be consideredwhere the OOK has the worst transmission characteristicsand therefore the transmission system range is limited to230 km The analyzed BPSK and BFSK modulations achievesimilar transmission characteristics where both systems arecapable of having a signal transmission over the 300 km linelength with the 10Gbits transmission rate It is optional touse these modulations to achieve the longest transmissionsystem range For increasing transmission rates of thesemodulations it is possible to use a combination with thePDM (PDM-BPSK and PDM-BFSK) where the transmissionrate of these systems will be higher twice (20Gbits) Forachieving higher transmission rates it is necessary to usemultilevel modulation formats The QPSK signal range isaround 300 km where a transmission rate compared with

8 Journal of Engineering

Out1

Data signal In2 Out1

Erbium doped fiber

In1

In2Out1

MZMOut1

CW

Out1

Cooperating channels

In1In2In3

Out1

WDM

Out1

EDFA

In2

Demodulator

In2 Out1

Erbium doped fiber 1

In2 Out1

Erbium doped fiber 2

In2 Out1

Erbium doped fiber 3

In Out

PMD

In Out

CHD

In Out

FWM

In2 Out1

SPM amp XPM

In1 Out1

SRS amp SBS amp attenuation

In Out

PMD1

In Out

CHD1

In Out

FWM1

In2 Out1

SPM amp XPM1

In1 Out1

SRS amp SBS amp attenuation 1

In Out

PMD2

In Out

CHD2

In Out

FWM2

In2 Out1

SPM amp XPM2

In1 Out1

SRS amp SBS amp attenuation 2

In Out

PMD3

In Out

CHD3

In Out

FWM3

In2 Out1

SPM amp XPM3

In1 Out1

SRS amp SBS amp attenuation 3

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Figure 10 The block scheme for analysis of the selected modulation and encoding techniques

Table 3 Comparison of selected modulation techniques implemented for the optical transmission system

Modulation techniques Parameters Fiber length [km]40 80 120 160 200 240 280 320

OOK BER [ ] 10minus12 10minus12 10minus12 10minus9 10minus2 10minus1 10minus1 10minus1

OSNR [dB] 25 19 14 7 2 1 1 1

BPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

DBPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus10 10minus8

OSNR [dB] 27 24 20 17 15 11 8 5

BFSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 28 26 24 21 18 16 13 10

QPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

8PSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus10 10minus6 10minus3 10minus2

OSNR [dB] 27 23 19 14 9 6 2 1

16QAM BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus9 10minus3 10minus1 10minus1

OSNR [dB] 27 22 17 12 7 2 2 1

Calculated BER

BER

0

1

2

3

4

5

6

7

8

9

10

Length (km)0 50 100 150 200 250 300 350

OOKBPSKDBPSK

times10minus3

OOK-RS (255 239)

DBPSK-RS (255 239)

OOK-BCH (255 231)BPSK-BCH (255 231)DBPSK-BCH (255 231)OOK-LDPC (960 480)BPSK-LDPC (960 480)DBPSK-LDPC (960 480)

BPSK-RS (255 239)

Figure 11 Comparison of binary modulation techniques combinedwith encoding techniques

binarymodulations is twice higher Using a combinationwiththe PDM the result transmission rate achieves 40GbitsThe maximum range of 8PSK and 16QAM systems is around200 kmThe decreased range of these systems is due to ampli-fier noises and nonlinear effects in the optical environmentHowever these systems using the PDM have transmissionrates 60Gbits (PDM-8PSK) and 80Gbits (PDM-16QAM)per channel The analysis shows that the range limitationis mainly caused by amplifier noises and nonlinear effectsthat are accumulating For increasing the system range ofmultilevel modulation formats the use of encoding tech-niques such as the LDPC(960 480) code is optional Forfurther improvement of transmission characteristics opticalamplifiers with a low noise figure advanced detectors andsoft encoding schemes can be used However these compo-nents rapidly increase the system cost and particular financialanalysis for the system effectiveness is necessary Outputtransmission characteristics for each modulation techniqueare shown in Table 3

Journal of Engineering 9

5 Conclusion

This contribution analyzes a possible utilization of selectedmodulation and advanced encoding techniques at high datarate signal transmission in optical transmission medium Atfirst the prepared simulation model for optical transmissionsystems with real transmission systems is compared Next aperformance analysis of different binary andmultilevel mod-ulation techniques in combination with RS BCH and LDPCcodes utilized in optical transmission systems is presentedThe simulation results show the limitation of binary modu-lation techniques and their possible improvement using FECcodes The LDPC code can improve a systemrsquos performancefor all modulation schemes Finally a prepared optical systemwith real parameters is enhanced using the LDPC code andselected modulation and encoding techniques are analyzedfor their practical implementation

In future analyses convolutional or turbo codes with dif-ferent rates and constraint length can be considered More-over other recent modulation techniques in possible com-binations with encoding techniques are analyzed Besides autilization of solitons with available optical signal processingtechniques is a very interesting area

Disclosure

This work is a part of research activities conducted atSlovak University of Technology Bratislava Faculty of Elec-trical Engineering and Information Technology Institute ofTelecommunications within the scope of Projects VEGA no1017416 ldquoAdvanced Algorithms and Methods for New Gen-eration Optical Networks for the IMS and NGN ConvergedInfrastructurerdquo and KEGA no 007STU-42016 ldquoProgressiveEducational Methods in the Field of TelecommunicationsMultiservice Networksrdquo

Competing Interests

The authors declare that they have no competing interests

References

[1] K Fukuchi T KasamatsuMMorie et al ldquo1092-Tbs (273times40-Gbs) triple-bandultra-dense WDM optical-repeatered trans-mission experimentrdquo in Proceedings of the Optical Fiber Com-munication Conference (OFC rsquo01) Paper PD24 2001

[2] Z Jia J Yu H-C Chien Z Dong and D Di Huo ldquoField trans-mission of 100G and beyond multiple baud rates and mixedline rates using nyquist-WDM technologyrdquo Journal of LightwaveTechnology vol 30 no 24 Article ID 6235964 pp 3793ndash38042012

[3] H Rohde E Gottwald A Teixeira et al ldquoCoherent ultra denseWDM technology for next generation optical metro and accessnetworksrdquo Journal of Lightwave Technology vol 32 no 10 pp2041ndash2052 2014

[4] H Taga ldquoLong distance transmission experiments using theWDM technologyrdquo Journal of Lightwave Technology vol 14 no6 pp 1287ndash1298 1996

[5] B E A Saleh and M C Teich Fundamentals of PhotonicsWiley-Interscience 1991

[6] L N Binh Optical Fiber Communication Systems CRC PressNew York NY USA 2010

[7] G Keiser Optical Fiber Communications John Wiley amp SonsNew York NY USA 2003

[8] Z Jamaludin A F Abas A S M Noor and M K AbfullahldquoIssues on polarization mode dispersion (PMD) for high speedfiber optics transmissionrdquo Suranaree Journal of Science andTechnology vol 12 no 2 pp 98ndash106 2005

[9] S P Singh andN Singh ldquoNonlinear effects in optical fibers ori-ginmanagement and applicationsrdquoProgress in ElectromagneticsResearch vol 73 pp 249ndash275 2007

[10] E Iannone F Matera A Mecozzi andM SettembreNonlinearOptical Communication Networks TK510359N66 John Wileyamp Sons New York NY USA 1998

[11] D Cotter ldquoNonlinearity in optical fibre communicationsrdquo inNonlinear Optics in Signal Processing RW Eason andAMillerEds vol 49 of Engineering Aspects of Lasers Series SpringerAmsterdam Netherlands 1993

[12] R Hill A First Course in Coding Theory Clarendon PressOxford UK 1980

[13] W Trappe and L C Washington Introduction to CryptographywithCodingTheory PearsonPrenticeHall New JerseyNJUSA2006

[14] J H van Lint Introduction to Coding Theory Springer BerlinGermany 1999

[15] M BossertChannel Coding for Telecommunications JohnWileyamp Sons New York NY USA 1999

[16] F Certık ldquoUtilization of encoding techniques at the signal trans-mission in the optical fiberrdquo in Advances in Signal Processingvol 3 no 2 pp 17ndash24 2015

[17] F Certık ldquoThe analysis of different encoding and modulationtechniques at the signal transmission in the optical mediumrdquo inProceedings of the 37th International Symposium on the Appli-cation of Computers and Operations Research in the MineralIndustry (APCOM rsquo15) pp 978ndash80 STU Publishing HouseBratislava Slovakia

[18] R Roka ldquoFixed transmission mediardquo in Technology and Engi-neering Applications of Simulink S Chakravarty Ed pp 41ndash68InTech Rijeka Croatia 2012

[19] R Roka and F Certık ldquoSimulation tools for broadband passiveoptical networksrdquo in Simulation Technologies in Networking andCommunications Selecting the Best Tool for the Test CRC PressBoca Raton Fla USA 2014

[20] R Roka ldquoThe environment of fixed transmission media andtheir negative influences in the simulationrdquo International Jour-nal ofMathematics and Computers in Simulation vol 9 pp 190ndash205 2015

[21] R Essiambre G Kramer P J Winzer G J Foschini and BGoebel ldquoCapacity limits of optical fiber networksrdquo Journal ofLightwave Technology vol 28 no 4 pp 662ndash701 2010

[22] P J Winzer and R J Essiambre ldquoAdvanced optical modulationformatsrdquo Proceedings of the IEEE vol 94 no 5 pp 952ndash9852006

[23] M I Olmedo T Zuo J B Jensen et al ldquoMultiband carrierlessamplitude phase modulation for high capacity optical datalinksrdquo Journal of Lightwave Technology vol 32 no 4 pp 798ndash804 2014

[24] T Rahman D Rafigue A Napoli et al ldquoUltralong haul 128-Tbs PM-16QAMWDM transmission employing hybrid amplifica-tionrdquo Journal of Lightwave Technology vol 33 no 9 pp 1794ndash1804 2015

10 Journal of Engineering

[25] S Chandrasekhar and X Liu ldquoExperimental investigation onthe performance of closely spaced multi-carrier PDM-QPSKwith digital coherent detectionrdquo Optics Express vol 17 no 24pp 21350ndash21361 2009

[26] I B Djordjevic ldquoGeneralized LDPC codes and turbo-productcodes with reed-muller component codesrdquo in Proceedings of the8th International Conference on Telecommunications in ModernSatellite Cable and Broadcasting Services (TELSIKS rsquo07) pp127ndash134 Nis Serbia September 2007

[27] D Ouchi K Kubo T Mizuochi et al ldquoA fully integrated blockturbo code FEC for 10Gbs optical communication systemsrdquoin Proceedings of the Optical Fiber Communication (OFC rsquo06)Anaheim Calif USA March 2006

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AerospaceEngineeringHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

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Submit your manuscripts athttpwwwhindawicom

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Propagation

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DistributedSensor Networks

International Journal of

Page 4: Research Article Possibilities for Advanced Encoding Techniques at Signal …downloads.hindawi.com/journals/je/2016/2385372.pdf · 2019-07-30 · Research Article Possibilities for

4 Journal of Engineering

Bernoullibinary

Bernoulli binarygenerator Multiple

Sample_time

1OutGaussian

Gaussian filter

LDPC encoder

LDPC encoder

In1 In2 In3

In4 In5

Out In6 MergeIn7In8In9

In10

Bernoullibinary

Bernoulli binarygenerator 1

Multiple 1Sample_time 1

LDPC encoder

LDPC encoder 1

Bernoullibinary

Bernoulli binarygenerator 2

Multiple 2Sample_time 2

LDPC encoder

LDPC encoder 2

Bernoullibinary

Bernoulli binarygenerator 3

Multiple 3Sample_time 3

LDPC encoder

LDPC encoder 3

Bernoullibinary

Bernoulli binarygenerator 4

Multiple 4Sample_time 4

LDPC encoder

LDPC encoder 4

Bernoullibinary

Bernoulli binarygenerator 5

Multiple 5Sample_time 5

LDPC encoder

LDPC encoder 5

Bernoullibinary

Bernoulli binarygenerator 6

Multiple 6Sample_time 6 LDPC encoder

LDPC encoder 6

Bernoullibinary

Bernoulli binarygenerator 7

Multiple 7Sample_time 7

LDPC encoder

LDPC encoder 7

Bernoullibinary

Bernoulli binarygenerator 8

Multiple 8Sample_time 8LDPC encoder

LDPC encoder 8

Bernoullibinary

Bernoulli binarygenerator 9

Multiple 9Sample_time 9LDPC encoder

LDPC encoder 9

timestimes

times

times

times

times

times

times

times

times

10 lowast 1Gbits to 10Gbits

Figure 2 The block scheme for the signal generation with the LDPC encoding technique

Table 1 The optical path 1 transmission parameters

Parameters Measured SimulatedRx power (dBm) minus132 minus134OSNR (dB) 259 243PMD (ps) 106 125SPM (dB) 087 122XPM (dB) minus5759 minus605FWM (dB) NA minus1243119876 799 81BER gt10minus15 gt10minus12

3 The Analysis of Selected Modulation andEncoding Techniques

The first modulation technique used for real optical trans-mission systems was the two-level amplitude modulationOOK with the direct detection This system is characterizedby transmission rates from 1Gbits and its limitation isrepresented by the 10Gbits rate over optical single modefibers with the 50 km line length Nowadays OOK systems

Table 2 The optical path 2 transmission parameters

Parameters Measured SimulatedRx power (dBm) minus1369 minus123OSNR (dB) 2107 209PMD (ps) 174 183SPM (dB) 103 11XPM (dB) minus4202 minus405FWM (dB) NA minus112119876 627 62BER gt10minus15 gt10minus12

are deployed with coherent receivers that can increase thesystem range depending on the receiver sensitivity andthe transmittersrsquo generated noise Coherent systems highlyimprove transmission characteristics but their implemen-tation is expensive due to security mechanisms for phaseand polarization detecting Another possible improvementfor coherent systems is represented by using the Duobinarymodulation This leads to a modification in the electricaldomain that is less costly than in case of exchange optical

Journal of Engineering 5

Merge block

1 0 0 1 1 1 1 10 0

1

111

1

1

00

0

0

Gauss filter 10Gbits

10Gbits

110

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

generatorSample

Figure 3 The schematic block diagram for the signal generation with the LDPC encoding technique

System signal source

System signal source

System signal source

1

2

N

Optical fiber

Circ

ulat

or

Localoscillator

Signal with different wavelength

Signal with different wavelength

Laser source

Electric datasignal

Electric datasignal

Mach-Zehndermodulator

Continuousoptical wave

Wavelengthdivision

multiplex

Erbium dopedfiber

Phase andamplitudedetection

Chromatic andpolarization modedispersion [time

broadening signalphase shift]

Four-wave mixing[intensity noise from

neighbour channels ondifferent wavelength]

[phase noise andsignal frequency shiftdue to signal intensity]

Self-phase andcross-phase modulation

[intensity noise fromneighbour channels

and decreasing signalintensity]

Stimulated Brillouinand Raman scattering

attenuation

Figure 4 The schematic block diagram for the optical transmission system

components For given modulation the Monte Carlo algo-rithm can be used because it allows a measuring of theBER parameter The simulation model uses the standard SM(ITU-T G656) optical fiber The comparison of transmissioncharacteristics for coherent OOK and Duobinary systems isshown in Figure 7

Possible solution can be represented by coherent systemswith phase and frequency modulation techniques which are

represented by BPSK DBPSK and BFSK These modula-tion techniques achieve similar transmission characteristics(shown in Figure 8) where the BPSK achieves better resultsabout 01 dB compared to the DBPSK and about 3 dB com-pared to the FSK

Higher modulation formats can be further used toincrease signal transmission rates in the optical system [21ndash25] Such modulation techniques have a lower tolerance to

6 Journal of Engineering

Out1

Data signal In1 Out1 In2

Demodulator

In1

In2Out1

MZM

Out1

CW

Out1

Cooperating channels

In1

In2

In3

Out1

WDM

Out1

EDFA

SMFmdash592km

Figure 5 The simulation model for the optical path 1

Out1

Data signal In1 Out1 In2 Out1

Erbium doped fiber

In1

In2Out1

MZM

Out1

CW

Out1

Cooperating channels

In1

In2

In3

Out1

WDM

Out1

EDFA

In2

Demodulator

In1 Out1 In2 Out1

Erbium doped fiber 1

In1 Out1 In2 Out1

Erbium doped fiber 2

In1 Out1 In2 Out1

Erbium doped fiber 3

SMFmdash442 km

SMFmdash425 km

SMFmdash433km

SMFmdash407 km

Figure 6 The simulation model for the optical path 2

the optical signal-to-noise ratio (OSNR) and therefore it isnecessary to analyze the BER parameter depending on theOSNR Figure 9 shows transmission characteristics for high-level modulation formats QPSK and DQPSK keying exhibitsimilar resistance to noise as BPSK andDBPSK keying In thiscase the transmission ratewould be increased twice and if thepolarization modulation (PDM) is used then the 40Gbitstransmission rate can be reached This solution requires thedeployment of MZM modulators and the PDM modulatorFor 8PSK and 16QAM modulations the noise resistance isdecreasing around 2 dB that in some systems will lead to

higher bit error rates caused by laser noise amplifier noiseandor nonlinear effects of the optical transmission medium

For improving transmission rates of modulation formatsdifferent encoding techniques can be used [26 27] A com-plete scheme of the prepared optical transmission system isshown in Figure 10 where the total optical fiber length isextended to 320 km

After theoretical analysis the following codes RS(255239) BCH(255 231) and LDPC(960 480)were selectedTheRS and BCH codes are capable of encoding data quicklyup to 10Gbits however the LDPC codes require more

Journal of Engineering 7

0 2 4 6 8 10 12 14 16 18

BER

OOK NRZDuobinary

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

EbN0 (dB)

Figure 7 BER transmission characteristics for OOK keying andDuobinary modulation

0 2 4 6 8 10 12 14 16 18

BER

DBPSKBPSKBFSK

EbN0 (dB)

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

Figure 8 BER transmission characteristics for BPSK DBPSK andBFSK keying

0 2 4 6 8 10 12 14 16 18

BER

DQPSK8PSK

QPSK16QAM

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

EbN0 (dB)

Figure 9 BER transmission characteristics for QPSK DQPSK8PSK and 16QAM keying

time to encode data Therefore 10 data streams are encodedseparately and afterwards multiplexed into one data stream(shown in Figure 2) For analyzing and simulating onlybinary modulation formats are used

A comparison of binary modulation techniques (nonco-herent OOK BPSK and DBPSK) combined with encodingtechniques (RS BCH and LDPC) is shown in Figure 11Encoding techniques can increase the system range from50 km up to 160 km depending on appropriate code Bettertransmission characteristics are achievable through coherentphase modulations BPSK and DBPSK where limitations arebetween 80 and 100 km The BCH and RS codes increasethe range of these systems up to 160 km and this systemrange can be increased up to 230 km by using the LDPCcodeThe LDPC code is more than 50 efficient compared toBCH and RS codes however such a system needs encodingindividual data signals with lower transmission rates than thetotal system transmission rate Therefore it is more effectiveto use the LDPC code inmetropolitan networks where a timemultiplexing is used

4 The Implementation of Modulation andEncoding Techniques

Selected modulation and encoding techniques are imple-mented on the optical transmission system with the standardSM fiber (ITU-TG652) where a data signal with the 10Gbitstransmission rate and 80WDMchannels is transmitted Indi-vidual transmitters are designed using the MZM modulatorwhere a continuous wave generated in the CW-DFB laseris modulated with a data signal generated by the Bernoulligenerator The CW-DFB laser generates a continuous wavewith 1mW power and embeds the 4 dB amplitude noise Itis considered that a phase noise is suppressed The analyzedsignal is transmitted with the 1934 THz optical frequencyand the resulting OSNR is 30 dB For increasing the opticaltransmission path range EDFA amplifiers are used every40 km for amplifying the transmitted signal where a noisefigureNF is equal to 4 dBTheoptical fiberwith a negativeCDis placed before a receiver to compensate the CD effect in thesystemThe received signal is detected by a coherent detectorwhose sensitivity is around minus17 dBm Based on the previousanalysis a hard decision scheme with the LDPC(960 480)code is selected for implementation

First binary modulation techniques can be consideredwhere the OOK has the worst transmission characteristicsand therefore the transmission system range is limited to230 km The analyzed BPSK and BFSK modulations achievesimilar transmission characteristics where both systems arecapable of having a signal transmission over the 300 km linelength with the 10Gbits transmission rate It is optional touse these modulations to achieve the longest transmissionsystem range For increasing transmission rates of thesemodulations it is possible to use a combination with thePDM (PDM-BPSK and PDM-BFSK) where the transmissionrate of these systems will be higher twice (20Gbits) Forachieving higher transmission rates it is necessary to usemultilevel modulation formats The QPSK signal range isaround 300 km where a transmission rate compared with

8 Journal of Engineering

Out1

Data signal In2 Out1

Erbium doped fiber

In1

In2Out1

MZMOut1

CW

Out1

Cooperating channels

In1In2In3

Out1

WDM

Out1

EDFA

In2

Demodulator

In2 Out1

Erbium doped fiber 1

In2 Out1

Erbium doped fiber 2

In2 Out1

Erbium doped fiber 3

In Out

PMD

In Out

CHD

In Out

FWM

In2 Out1

SPM amp XPM

In1 Out1

SRS amp SBS amp attenuation

In Out

PMD1

In Out

CHD1

In Out

FWM1

In2 Out1

SPM amp XPM1

In1 Out1

SRS amp SBS amp attenuation 1

In Out

PMD2

In Out

CHD2

In Out

FWM2

In2 Out1

SPM amp XPM2

In1 Out1

SRS amp SBS amp attenuation 2

In Out

PMD3

In Out

CHD3

In Out

FWM3

In2 Out1

SPM amp XPM3

In1 Out1

SRS amp SBS amp attenuation 3

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Figure 10 The block scheme for analysis of the selected modulation and encoding techniques

Table 3 Comparison of selected modulation techniques implemented for the optical transmission system

Modulation techniques Parameters Fiber length [km]40 80 120 160 200 240 280 320

OOK BER [ ] 10minus12 10minus12 10minus12 10minus9 10minus2 10minus1 10minus1 10minus1

OSNR [dB] 25 19 14 7 2 1 1 1

BPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

DBPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus10 10minus8

OSNR [dB] 27 24 20 17 15 11 8 5

BFSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 28 26 24 21 18 16 13 10

QPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

8PSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus10 10minus6 10minus3 10minus2

OSNR [dB] 27 23 19 14 9 6 2 1

16QAM BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus9 10minus3 10minus1 10minus1

OSNR [dB] 27 22 17 12 7 2 2 1

Calculated BER

BER

0

1

2

3

4

5

6

7

8

9

10

Length (km)0 50 100 150 200 250 300 350

OOKBPSKDBPSK

times10minus3

OOK-RS (255 239)

DBPSK-RS (255 239)

OOK-BCH (255 231)BPSK-BCH (255 231)DBPSK-BCH (255 231)OOK-LDPC (960 480)BPSK-LDPC (960 480)DBPSK-LDPC (960 480)

BPSK-RS (255 239)

Figure 11 Comparison of binary modulation techniques combinedwith encoding techniques

binarymodulations is twice higher Using a combinationwiththe PDM the result transmission rate achieves 40GbitsThe maximum range of 8PSK and 16QAM systems is around200 kmThe decreased range of these systems is due to ampli-fier noises and nonlinear effects in the optical environmentHowever these systems using the PDM have transmissionrates 60Gbits (PDM-8PSK) and 80Gbits (PDM-16QAM)per channel The analysis shows that the range limitationis mainly caused by amplifier noises and nonlinear effectsthat are accumulating For increasing the system range ofmultilevel modulation formats the use of encoding tech-niques such as the LDPC(960 480) code is optional Forfurther improvement of transmission characteristics opticalamplifiers with a low noise figure advanced detectors andsoft encoding schemes can be used However these compo-nents rapidly increase the system cost and particular financialanalysis for the system effectiveness is necessary Outputtransmission characteristics for each modulation techniqueare shown in Table 3

Journal of Engineering 9

5 Conclusion

This contribution analyzes a possible utilization of selectedmodulation and advanced encoding techniques at high datarate signal transmission in optical transmission medium Atfirst the prepared simulation model for optical transmissionsystems with real transmission systems is compared Next aperformance analysis of different binary andmultilevel mod-ulation techniques in combination with RS BCH and LDPCcodes utilized in optical transmission systems is presentedThe simulation results show the limitation of binary modu-lation techniques and their possible improvement using FECcodes The LDPC code can improve a systemrsquos performancefor all modulation schemes Finally a prepared optical systemwith real parameters is enhanced using the LDPC code andselected modulation and encoding techniques are analyzedfor their practical implementation

In future analyses convolutional or turbo codes with dif-ferent rates and constraint length can be considered More-over other recent modulation techniques in possible com-binations with encoding techniques are analyzed Besides autilization of solitons with available optical signal processingtechniques is a very interesting area

Disclosure

This work is a part of research activities conducted atSlovak University of Technology Bratislava Faculty of Elec-trical Engineering and Information Technology Institute ofTelecommunications within the scope of Projects VEGA no1017416 ldquoAdvanced Algorithms and Methods for New Gen-eration Optical Networks for the IMS and NGN ConvergedInfrastructurerdquo and KEGA no 007STU-42016 ldquoProgressiveEducational Methods in the Field of TelecommunicationsMultiservice Networksrdquo

Competing Interests

The authors declare that they have no competing interests

References

[1] K Fukuchi T KasamatsuMMorie et al ldquo1092-Tbs (273times40-Gbs) triple-bandultra-dense WDM optical-repeatered trans-mission experimentrdquo in Proceedings of the Optical Fiber Com-munication Conference (OFC rsquo01) Paper PD24 2001

[2] Z Jia J Yu H-C Chien Z Dong and D Di Huo ldquoField trans-mission of 100G and beyond multiple baud rates and mixedline rates using nyquist-WDM technologyrdquo Journal of LightwaveTechnology vol 30 no 24 Article ID 6235964 pp 3793ndash38042012

[3] H Rohde E Gottwald A Teixeira et al ldquoCoherent ultra denseWDM technology for next generation optical metro and accessnetworksrdquo Journal of Lightwave Technology vol 32 no 10 pp2041ndash2052 2014

[4] H Taga ldquoLong distance transmission experiments using theWDM technologyrdquo Journal of Lightwave Technology vol 14 no6 pp 1287ndash1298 1996

[5] B E A Saleh and M C Teich Fundamentals of PhotonicsWiley-Interscience 1991

[6] L N Binh Optical Fiber Communication Systems CRC PressNew York NY USA 2010

[7] G Keiser Optical Fiber Communications John Wiley amp SonsNew York NY USA 2003

[8] Z Jamaludin A F Abas A S M Noor and M K AbfullahldquoIssues on polarization mode dispersion (PMD) for high speedfiber optics transmissionrdquo Suranaree Journal of Science andTechnology vol 12 no 2 pp 98ndash106 2005

[9] S P Singh andN Singh ldquoNonlinear effects in optical fibers ori-ginmanagement and applicationsrdquoProgress in ElectromagneticsResearch vol 73 pp 249ndash275 2007

[10] E Iannone F Matera A Mecozzi andM SettembreNonlinearOptical Communication Networks TK510359N66 John Wileyamp Sons New York NY USA 1998

[11] D Cotter ldquoNonlinearity in optical fibre communicationsrdquo inNonlinear Optics in Signal Processing RW Eason andAMillerEds vol 49 of Engineering Aspects of Lasers Series SpringerAmsterdam Netherlands 1993

[12] R Hill A First Course in Coding Theory Clarendon PressOxford UK 1980

[13] W Trappe and L C Washington Introduction to CryptographywithCodingTheory PearsonPrenticeHall New JerseyNJUSA2006

[14] J H van Lint Introduction to Coding Theory Springer BerlinGermany 1999

[15] M BossertChannel Coding for Telecommunications JohnWileyamp Sons New York NY USA 1999

[16] F Certık ldquoUtilization of encoding techniques at the signal trans-mission in the optical fiberrdquo in Advances in Signal Processingvol 3 no 2 pp 17ndash24 2015

[17] F Certık ldquoThe analysis of different encoding and modulationtechniques at the signal transmission in the optical mediumrdquo inProceedings of the 37th International Symposium on the Appli-cation of Computers and Operations Research in the MineralIndustry (APCOM rsquo15) pp 978ndash80 STU Publishing HouseBratislava Slovakia

[18] R Roka ldquoFixed transmission mediardquo in Technology and Engi-neering Applications of Simulink S Chakravarty Ed pp 41ndash68InTech Rijeka Croatia 2012

[19] R Roka and F Certık ldquoSimulation tools for broadband passiveoptical networksrdquo in Simulation Technologies in Networking andCommunications Selecting the Best Tool for the Test CRC PressBoca Raton Fla USA 2014

[20] R Roka ldquoThe environment of fixed transmission media andtheir negative influences in the simulationrdquo International Jour-nal ofMathematics and Computers in Simulation vol 9 pp 190ndash205 2015

[21] R Essiambre G Kramer P J Winzer G J Foschini and BGoebel ldquoCapacity limits of optical fiber networksrdquo Journal ofLightwave Technology vol 28 no 4 pp 662ndash701 2010

[22] P J Winzer and R J Essiambre ldquoAdvanced optical modulationformatsrdquo Proceedings of the IEEE vol 94 no 5 pp 952ndash9852006

[23] M I Olmedo T Zuo J B Jensen et al ldquoMultiband carrierlessamplitude phase modulation for high capacity optical datalinksrdquo Journal of Lightwave Technology vol 32 no 4 pp 798ndash804 2014

[24] T Rahman D Rafigue A Napoli et al ldquoUltralong haul 128-Tbs PM-16QAMWDM transmission employing hybrid amplifica-tionrdquo Journal of Lightwave Technology vol 33 no 9 pp 1794ndash1804 2015

10 Journal of Engineering

[25] S Chandrasekhar and X Liu ldquoExperimental investigation onthe performance of closely spaced multi-carrier PDM-QPSKwith digital coherent detectionrdquo Optics Express vol 17 no 24pp 21350ndash21361 2009

[26] I B Djordjevic ldquoGeneralized LDPC codes and turbo-productcodes with reed-muller component codesrdquo in Proceedings of the8th International Conference on Telecommunications in ModernSatellite Cable and Broadcasting Services (TELSIKS rsquo07) pp127ndash134 Nis Serbia September 2007

[27] D Ouchi K Kubo T Mizuochi et al ldquoA fully integrated blockturbo code FEC for 10Gbs optical communication systemsrdquoin Proceedings of the Optical Fiber Communication (OFC rsquo06)Anaheim Calif USA March 2006

International Journal of

AerospaceEngineeringHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

RoboticsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Active and Passive Electronic Components

Control Scienceand Engineering

Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

International Journal of

RotatingMachinery

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporation httpwwwhindawicom

Journal ofEngineeringVolume 2014

Submit your manuscripts athttpwwwhindawicom

VLSI Design

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Shock and Vibration

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Civil EngineeringAdvances in

Acoustics and VibrationAdvances in

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Electrical and Computer Engineering

Journal of

Advances inOptoElectronics

Hindawi Publishing Corporation httpwwwhindawicom

Volume 2014

The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014

SensorsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Modelling amp Simulation in EngineeringHindawi Publishing Corporation httpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Chemical EngineeringInternational Journal of Antennas and

Propagation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Navigation and Observation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

DistributedSensor Networks

International Journal of

Page 5: Research Article Possibilities for Advanced Encoding Techniques at Signal …downloads.hindawi.com/journals/je/2016/2385372.pdf · 2019-07-30 · Research Article Possibilities for

Journal of Engineering 5

Merge block

1 0 0 1 1 1 1 10 0

1

111

1

1

00

0

0

Gauss filter 10Gbits

10Gbits

110

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

1Gbits

LDPC codingn = i + k

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

Bernoulli generatorrectangular impulse

generatorSample

Figure 3 The schematic block diagram for the signal generation with the LDPC encoding technique

System signal source

System signal source

System signal source

1

2

N

Optical fiber

Circ

ulat

or

Localoscillator

Signal with different wavelength

Signal with different wavelength

Laser source

Electric datasignal

Electric datasignal

Mach-Zehndermodulator

Continuousoptical wave

Wavelengthdivision

multiplex

Erbium dopedfiber

Phase andamplitudedetection

Chromatic andpolarization modedispersion [time

broadening signalphase shift]

Four-wave mixing[intensity noise from

neighbour channels ondifferent wavelength]

[phase noise andsignal frequency shiftdue to signal intensity]

Self-phase andcross-phase modulation

[intensity noise fromneighbour channels

and decreasing signalintensity]

Stimulated Brillouinand Raman scattering

attenuation

Figure 4 The schematic block diagram for the optical transmission system

components For given modulation the Monte Carlo algo-rithm can be used because it allows a measuring of theBER parameter The simulation model uses the standard SM(ITU-T G656) optical fiber The comparison of transmissioncharacteristics for coherent OOK and Duobinary systems isshown in Figure 7

Possible solution can be represented by coherent systemswith phase and frequency modulation techniques which are

represented by BPSK DBPSK and BFSK These modula-tion techniques achieve similar transmission characteristics(shown in Figure 8) where the BPSK achieves better resultsabout 01 dB compared to the DBPSK and about 3 dB com-pared to the FSK

Higher modulation formats can be further used toincrease signal transmission rates in the optical system [21ndash25] Such modulation techniques have a lower tolerance to

6 Journal of Engineering

Out1

Data signal In1 Out1 In2

Demodulator

In1

In2Out1

MZM

Out1

CW

Out1

Cooperating channels

In1

In2

In3

Out1

WDM

Out1

EDFA

SMFmdash592km

Figure 5 The simulation model for the optical path 1

Out1

Data signal In1 Out1 In2 Out1

Erbium doped fiber

In1

In2Out1

MZM

Out1

CW

Out1

Cooperating channels

In1

In2

In3

Out1

WDM

Out1

EDFA

In2

Demodulator

In1 Out1 In2 Out1

Erbium doped fiber 1

In1 Out1 In2 Out1

Erbium doped fiber 2

In1 Out1 In2 Out1

Erbium doped fiber 3

SMFmdash442 km

SMFmdash425 km

SMFmdash433km

SMFmdash407 km

Figure 6 The simulation model for the optical path 2

the optical signal-to-noise ratio (OSNR) and therefore it isnecessary to analyze the BER parameter depending on theOSNR Figure 9 shows transmission characteristics for high-level modulation formats QPSK and DQPSK keying exhibitsimilar resistance to noise as BPSK andDBPSK keying In thiscase the transmission ratewould be increased twice and if thepolarization modulation (PDM) is used then the 40Gbitstransmission rate can be reached This solution requires thedeployment of MZM modulators and the PDM modulatorFor 8PSK and 16QAM modulations the noise resistance isdecreasing around 2 dB that in some systems will lead to

higher bit error rates caused by laser noise amplifier noiseandor nonlinear effects of the optical transmission medium

For improving transmission rates of modulation formatsdifferent encoding techniques can be used [26 27] A com-plete scheme of the prepared optical transmission system isshown in Figure 10 where the total optical fiber length isextended to 320 km

After theoretical analysis the following codes RS(255239) BCH(255 231) and LDPC(960 480)were selectedTheRS and BCH codes are capable of encoding data quicklyup to 10Gbits however the LDPC codes require more

Journal of Engineering 7

0 2 4 6 8 10 12 14 16 18

BER

OOK NRZDuobinary

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

EbN0 (dB)

Figure 7 BER transmission characteristics for OOK keying andDuobinary modulation

0 2 4 6 8 10 12 14 16 18

BER

DBPSKBPSKBFSK

EbN0 (dB)

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

Figure 8 BER transmission characteristics for BPSK DBPSK andBFSK keying

0 2 4 6 8 10 12 14 16 18

BER

DQPSK8PSK

QPSK16QAM

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

EbN0 (dB)

Figure 9 BER transmission characteristics for QPSK DQPSK8PSK and 16QAM keying

time to encode data Therefore 10 data streams are encodedseparately and afterwards multiplexed into one data stream(shown in Figure 2) For analyzing and simulating onlybinary modulation formats are used

A comparison of binary modulation techniques (nonco-herent OOK BPSK and DBPSK) combined with encodingtechniques (RS BCH and LDPC) is shown in Figure 11Encoding techniques can increase the system range from50 km up to 160 km depending on appropriate code Bettertransmission characteristics are achievable through coherentphase modulations BPSK and DBPSK where limitations arebetween 80 and 100 km The BCH and RS codes increasethe range of these systems up to 160 km and this systemrange can be increased up to 230 km by using the LDPCcodeThe LDPC code is more than 50 efficient compared toBCH and RS codes however such a system needs encodingindividual data signals with lower transmission rates than thetotal system transmission rate Therefore it is more effectiveto use the LDPC code inmetropolitan networks where a timemultiplexing is used

4 The Implementation of Modulation andEncoding Techniques

Selected modulation and encoding techniques are imple-mented on the optical transmission system with the standardSM fiber (ITU-TG652) where a data signal with the 10Gbitstransmission rate and 80WDMchannels is transmitted Indi-vidual transmitters are designed using the MZM modulatorwhere a continuous wave generated in the CW-DFB laseris modulated with a data signal generated by the Bernoulligenerator The CW-DFB laser generates a continuous wavewith 1mW power and embeds the 4 dB amplitude noise Itis considered that a phase noise is suppressed The analyzedsignal is transmitted with the 1934 THz optical frequencyand the resulting OSNR is 30 dB For increasing the opticaltransmission path range EDFA amplifiers are used every40 km for amplifying the transmitted signal where a noisefigureNF is equal to 4 dBTheoptical fiberwith a negativeCDis placed before a receiver to compensate the CD effect in thesystemThe received signal is detected by a coherent detectorwhose sensitivity is around minus17 dBm Based on the previousanalysis a hard decision scheme with the LDPC(960 480)code is selected for implementation

First binary modulation techniques can be consideredwhere the OOK has the worst transmission characteristicsand therefore the transmission system range is limited to230 km The analyzed BPSK and BFSK modulations achievesimilar transmission characteristics where both systems arecapable of having a signal transmission over the 300 km linelength with the 10Gbits transmission rate It is optional touse these modulations to achieve the longest transmissionsystem range For increasing transmission rates of thesemodulations it is possible to use a combination with thePDM (PDM-BPSK and PDM-BFSK) where the transmissionrate of these systems will be higher twice (20Gbits) Forachieving higher transmission rates it is necessary to usemultilevel modulation formats The QPSK signal range isaround 300 km where a transmission rate compared with

8 Journal of Engineering

Out1

Data signal In2 Out1

Erbium doped fiber

In1

In2Out1

MZMOut1

CW

Out1

Cooperating channels

In1In2In3

Out1

WDM

Out1

EDFA

In2

Demodulator

In2 Out1

Erbium doped fiber 1

In2 Out1

Erbium doped fiber 2

In2 Out1

Erbium doped fiber 3

In Out

PMD

In Out

CHD

In Out

FWM

In2 Out1

SPM amp XPM

In1 Out1

SRS amp SBS amp attenuation

In Out

PMD1

In Out

CHD1

In Out

FWM1

In2 Out1

SPM amp XPM1

In1 Out1

SRS amp SBS amp attenuation 1

In Out

PMD2

In Out

CHD2

In Out

FWM2

In2 Out1

SPM amp XPM2

In1 Out1

SRS amp SBS amp attenuation 2

In Out

PMD3

In Out

CHD3

In Out

FWM3

In2 Out1

SPM amp XPM3

In1 Out1

SRS amp SBS amp attenuation 3

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Figure 10 The block scheme for analysis of the selected modulation and encoding techniques

Table 3 Comparison of selected modulation techniques implemented for the optical transmission system

Modulation techniques Parameters Fiber length [km]40 80 120 160 200 240 280 320

OOK BER [ ] 10minus12 10minus12 10minus12 10minus9 10minus2 10minus1 10minus1 10minus1

OSNR [dB] 25 19 14 7 2 1 1 1

BPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

DBPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus10 10minus8

OSNR [dB] 27 24 20 17 15 11 8 5

BFSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 28 26 24 21 18 16 13 10

QPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

8PSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus10 10minus6 10minus3 10minus2

OSNR [dB] 27 23 19 14 9 6 2 1

16QAM BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus9 10minus3 10minus1 10minus1

OSNR [dB] 27 22 17 12 7 2 2 1

Calculated BER

BER

0

1

2

3

4

5

6

7

8

9

10

Length (km)0 50 100 150 200 250 300 350

OOKBPSKDBPSK

times10minus3

OOK-RS (255 239)

DBPSK-RS (255 239)

OOK-BCH (255 231)BPSK-BCH (255 231)DBPSK-BCH (255 231)OOK-LDPC (960 480)BPSK-LDPC (960 480)DBPSK-LDPC (960 480)

BPSK-RS (255 239)

Figure 11 Comparison of binary modulation techniques combinedwith encoding techniques

binarymodulations is twice higher Using a combinationwiththe PDM the result transmission rate achieves 40GbitsThe maximum range of 8PSK and 16QAM systems is around200 kmThe decreased range of these systems is due to ampli-fier noises and nonlinear effects in the optical environmentHowever these systems using the PDM have transmissionrates 60Gbits (PDM-8PSK) and 80Gbits (PDM-16QAM)per channel The analysis shows that the range limitationis mainly caused by amplifier noises and nonlinear effectsthat are accumulating For increasing the system range ofmultilevel modulation formats the use of encoding tech-niques such as the LDPC(960 480) code is optional Forfurther improvement of transmission characteristics opticalamplifiers with a low noise figure advanced detectors andsoft encoding schemes can be used However these compo-nents rapidly increase the system cost and particular financialanalysis for the system effectiveness is necessary Outputtransmission characteristics for each modulation techniqueare shown in Table 3

Journal of Engineering 9

5 Conclusion

This contribution analyzes a possible utilization of selectedmodulation and advanced encoding techniques at high datarate signal transmission in optical transmission medium Atfirst the prepared simulation model for optical transmissionsystems with real transmission systems is compared Next aperformance analysis of different binary andmultilevel mod-ulation techniques in combination with RS BCH and LDPCcodes utilized in optical transmission systems is presentedThe simulation results show the limitation of binary modu-lation techniques and their possible improvement using FECcodes The LDPC code can improve a systemrsquos performancefor all modulation schemes Finally a prepared optical systemwith real parameters is enhanced using the LDPC code andselected modulation and encoding techniques are analyzedfor their practical implementation

In future analyses convolutional or turbo codes with dif-ferent rates and constraint length can be considered More-over other recent modulation techniques in possible com-binations with encoding techniques are analyzed Besides autilization of solitons with available optical signal processingtechniques is a very interesting area

Disclosure

This work is a part of research activities conducted atSlovak University of Technology Bratislava Faculty of Elec-trical Engineering and Information Technology Institute ofTelecommunications within the scope of Projects VEGA no1017416 ldquoAdvanced Algorithms and Methods for New Gen-eration Optical Networks for the IMS and NGN ConvergedInfrastructurerdquo and KEGA no 007STU-42016 ldquoProgressiveEducational Methods in the Field of TelecommunicationsMultiservice Networksrdquo

Competing Interests

The authors declare that they have no competing interests

References

[1] K Fukuchi T KasamatsuMMorie et al ldquo1092-Tbs (273times40-Gbs) triple-bandultra-dense WDM optical-repeatered trans-mission experimentrdquo in Proceedings of the Optical Fiber Com-munication Conference (OFC rsquo01) Paper PD24 2001

[2] Z Jia J Yu H-C Chien Z Dong and D Di Huo ldquoField trans-mission of 100G and beyond multiple baud rates and mixedline rates using nyquist-WDM technologyrdquo Journal of LightwaveTechnology vol 30 no 24 Article ID 6235964 pp 3793ndash38042012

[3] H Rohde E Gottwald A Teixeira et al ldquoCoherent ultra denseWDM technology for next generation optical metro and accessnetworksrdquo Journal of Lightwave Technology vol 32 no 10 pp2041ndash2052 2014

[4] H Taga ldquoLong distance transmission experiments using theWDM technologyrdquo Journal of Lightwave Technology vol 14 no6 pp 1287ndash1298 1996

[5] B E A Saleh and M C Teich Fundamentals of PhotonicsWiley-Interscience 1991

[6] L N Binh Optical Fiber Communication Systems CRC PressNew York NY USA 2010

[7] G Keiser Optical Fiber Communications John Wiley amp SonsNew York NY USA 2003

[8] Z Jamaludin A F Abas A S M Noor and M K AbfullahldquoIssues on polarization mode dispersion (PMD) for high speedfiber optics transmissionrdquo Suranaree Journal of Science andTechnology vol 12 no 2 pp 98ndash106 2005

[9] S P Singh andN Singh ldquoNonlinear effects in optical fibers ori-ginmanagement and applicationsrdquoProgress in ElectromagneticsResearch vol 73 pp 249ndash275 2007

[10] E Iannone F Matera A Mecozzi andM SettembreNonlinearOptical Communication Networks TK510359N66 John Wileyamp Sons New York NY USA 1998

[11] D Cotter ldquoNonlinearity in optical fibre communicationsrdquo inNonlinear Optics in Signal Processing RW Eason andAMillerEds vol 49 of Engineering Aspects of Lasers Series SpringerAmsterdam Netherlands 1993

[12] R Hill A First Course in Coding Theory Clarendon PressOxford UK 1980

[13] W Trappe and L C Washington Introduction to CryptographywithCodingTheory PearsonPrenticeHall New JerseyNJUSA2006

[14] J H van Lint Introduction to Coding Theory Springer BerlinGermany 1999

[15] M BossertChannel Coding for Telecommunications JohnWileyamp Sons New York NY USA 1999

[16] F Certık ldquoUtilization of encoding techniques at the signal trans-mission in the optical fiberrdquo in Advances in Signal Processingvol 3 no 2 pp 17ndash24 2015

[17] F Certık ldquoThe analysis of different encoding and modulationtechniques at the signal transmission in the optical mediumrdquo inProceedings of the 37th International Symposium on the Appli-cation of Computers and Operations Research in the MineralIndustry (APCOM rsquo15) pp 978ndash80 STU Publishing HouseBratislava Slovakia

[18] R Roka ldquoFixed transmission mediardquo in Technology and Engi-neering Applications of Simulink S Chakravarty Ed pp 41ndash68InTech Rijeka Croatia 2012

[19] R Roka and F Certık ldquoSimulation tools for broadband passiveoptical networksrdquo in Simulation Technologies in Networking andCommunications Selecting the Best Tool for the Test CRC PressBoca Raton Fla USA 2014

[20] R Roka ldquoThe environment of fixed transmission media andtheir negative influences in the simulationrdquo International Jour-nal ofMathematics and Computers in Simulation vol 9 pp 190ndash205 2015

[21] R Essiambre G Kramer P J Winzer G J Foschini and BGoebel ldquoCapacity limits of optical fiber networksrdquo Journal ofLightwave Technology vol 28 no 4 pp 662ndash701 2010

[22] P J Winzer and R J Essiambre ldquoAdvanced optical modulationformatsrdquo Proceedings of the IEEE vol 94 no 5 pp 952ndash9852006

[23] M I Olmedo T Zuo J B Jensen et al ldquoMultiband carrierlessamplitude phase modulation for high capacity optical datalinksrdquo Journal of Lightwave Technology vol 32 no 4 pp 798ndash804 2014

[24] T Rahman D Rafigue A Napoli et al ldquoUltralong haul 128-Tbs PM-16QAMWDM transmission employing hybrid amplifica-tionrdquo Journal of Lightwave Technology vol 33 no 9 pp 1794ndash1804 2015

10 Journal of Engineering

[25] S Chandrasekhar and X Liu ldquoExperimental investigation onthe performance of closely spaced multi-carrier PDM-QPSKwith digital coherent detectionrdquo Optics Express vol 17 no 24pp 21350ndash21361 2009

[26] I B Djordjevic ldquoGeneralized LDPC codes and turbo-productcodes with reed-muller component codesrdquo in Proceedings of the8th International Conference on Telecommunications in ModernSatellite Cable and Broadcasting Services (TELSIKS rsquo07) pp127ndash134 Nis Serbia September 2007

[27] D Ouchi K Kubo T Mizuochi et al ldquoA fully integrated blockturbo code FEC for 10Gbs optical communication systemsrdquoin Proceedings of the Optical Fiber Communication (OFC rsquo06)Anaheim Calif USA March 2006

International Journal of

AerospaceEngineeringHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

RoboticsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Active and Passive Electronic Components

Control Scienceand Engineering

Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

International Journal of

RotatingMachinery

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporation httpwwwhindawicom

Journal ofEngineeringVolume 2014

Submit your manuscripts athttpwwwhindawicom

VLSI Design

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Shock and Vibration

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Civil EngineeringAdvances in

Acoustics and VibrationAdvances in

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Electrical and Computer Engineering

Journal of

Advances inOptoElectronics

Hindawi Publishing Corporation httpwwwhindawicom

Volume 2014

The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014

SensorsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Modelling amp Simulation in EngineeringHindawi Publishing Corporation httpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Chemical EngineeringInternational Journal of Antennas and

Propagation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Navigation and Observation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

DistributedSensor Networks

International Journal of

Page 6: Research Article Possibilities for Advanced Encoding Techniques at Signal …downloads.hindawi.com/journals/je/2016/2385372.pdf · 2019-07-30 · Research Article Possibilities for

6 Journal of Engineering

Out1

Data signal In1 Out1 In2

Demodulator

In1

In2Out1

MZM

Out1

CW

Out1

Cooperating channels

In1

In2

In3

Out1

WDM

Out1

EDFA

SMFmdash592km

Figure 5 The simulation model for the optical path 1

Out1

Data signal In1 Out1 In2 Out1

Erbium doped fiber

In1

In2Out1

MZM

Out1

CW

Out1

Cooperating channels

In1

In2

In3

Out1

WDM

Out1

EDFA

In2

Demodulator

In1 Out1 In2 Out1

Erbium doped fiber 1

In1 Out1 In2 Out1

Erbium doped fiber 2

In1 Out1 In2 Out1

Erbium doped fiber 3

SMFmdash442 km

SMFmdash425 km

SMFmdash433km

SMFmdash407 km

Figure 6 The simulation model for the optical path 2

the optical signal-to-noise ratio (OSNR) and therefore it isnecessary to analyze the BER parameter depending on theOSNR Figure 9 shows transmission characteristics for high-level modulation formats QPSK and DQPSK keying exhibitsimilar resistance to noise as BPSK andDBPSK keying In thiscase the transmission ratewould be increased twice and if thepolarization modulation (PDM) is used then the 40Gbitstransmission rate can be reached This solution requires thedeployment of MZM modulators and the PDM modulatorFor 8PSK and 16QAM modulations the noise resistance isdecreasing around 2 dB that in some systems will lead to

higher bit error rates caused by laser noise amplifier noiseandor nonlinear effects of the optical transmission medium

For improving transmission rates of modulation formatsdifferent encoding techniques can be used [26 27] A com-plete scheme of the prepared optical transmission system isshown in Figure 10 where the total optical fiber length isextended to 320 km

After theoretical analysis the following codes RS(255239) BCH(255 231) and LDPC(960 480)were selectedTheRS and BCH codes are capable of encoding data quicklyup to 10Gbits however the LDPC codes require more

Journal of Engineering 7

0 2 4 6 8 10 12 14 16 18

BER

OOK NRZDuobinary

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

EbN0 (dB)

Figure 7 BER transmission characteristics for OOK keying andDuobinary modulation

0 2 4 6 8 10 12 14 16 18

BER

DBPSKBPSKBFSK

EbN0 (dB)

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

Figure 8 BER transmission characteristics for BPSK DBPSK andBFSK keying

0 2 4 6 8 10 12 14 16 18

BER

DQPSK8PSK

QPSK16QAM

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

EbN0 (dB)

Figure 9 BER transmission characteristics for QPSK DQPSK8PSK and 16QAM keying

time to encode data Therefore 10 data streams are encodedseparately and afterwards multiplexed into one data stream(shown in Figure 2) For analyzing and simulating onlybinary modulation formats are used

A comparison of binary modulation techniques (nonco-herent OOK BPSK and DBPSK) combined with encodingtechniques (RS BCH and LDPC) is shown in Figure 11Encoding techniques can increase the system range from50 km up to 160 km depending on appropriate code Bettertransmission characteristics are achievable through coherentphase modulations BPSK and DBPSK where limitations arebetween 80 and 100 km The BCH and RS codes increasethe range of these systems up to 160 km and this systemrange can be increased up to 230 km by using the LDPCcodeThe LDPC code is more than 50 efficient compared toBCH and RS codes however such a system needs encodingindividual data signals with lower transmission rates than thetotal system transmission rate Therefore it is more effectiveto use the LDPC code inmetropolitan networks where a timemultiplexing is used

4 The Implementation of Modulation andEncoding Techniques

Selected modulation and encoding techniques are imple-mented on the optical transmission system with the standardSM fiber (ITU-TG652) where a data signal with the 10Gbitstransmission rate and 80WDMchannels is transmitted Indi-vidual transmitters are designed using the MZM modulatorwhere a continuous wave generated in the CW-DFB laseris modulated with a data signal generated by the Bernoulligenerator The CW-DFB laser generates a continuous wavewith 1mW power and embeds the 4 dB amplitude noise Itis considered that a phase noise is suppressed The analyzedsignal is transmitted with the 1934 THz optical frequencyand the resulting OSNR is 30 dB For increasing the opticaltransmission path range EDFA amplifiers are used every40 km for amplifying the transmitted signal where a noisefigureNF is equal to 4 dBTheoptical fiberwith a negativeCDis placed before a receiver to compensate the CD effect in thesystemThe received signal is detected by a coherent detectorwhose sensitivity is around minus17 dBm Based on the previousanalysis a hard decision scheme with the LDPC(960 480)code is selected for implementation

First binary modulation techniques can be consideredwhere the OOK has the worst transmission characteristicsand therefore the transmission system range is limited to230 km The analyzed BPSK and BFSK modulations achievesimilar transmission characteristics where both systems arecapable of having a signal transmission over the 300 km linelength with the 10Gbits transmission rate It is optional touse these modulations to achieve the longest transmissionsystem range For increasing transmission rates of thesemodulations it is possible to use a combination with thePDM (PDM-BPSK and PDM-BFSK) where the transmissionrate of these systems will be higher twice (20Gbits) Forachieving higher transmission rates it is necessary to usemultilevel modulation formats The QPSK signal range isaround 300 km where a transmission rate compared with

8 Journal of Engineering

Out1

Data signal In2 Out1

Erbium doped fiber

In1

In2Out1

MZMOut1

CW

Out1

Cooperating channels

In1In2In3

Out1

WDM

Out1

EDFA

In2

Demodulator

In2 Out1

Erbium doped fiber 1

In2 Out1

Erbium doped fiber 2

In2 Out1

Erbium doped fiber 3

In Out

PMD

In Out

CHD

In Out

FWM

In2 Out1

SPM amp XPM

In1 Out1

SRS amp SBS amp attenuation

In Out

PMD1

In Out

CHD1

In Out

FWM1

In2 Out1

SPM amp XPM1

In1 Out1

SRS amp SBS amp attenuation 1

In Out

PMD2

In Out

CHD2

In Out

FWM2

In2 Out1

SPM amp XPM2

In1 Out1

SRS amp SBS amp attenuation 2

In Out

PMD3

In Out

CHD3

In Out

FWM3

In2 Out1

SPM amp XPM3

In1 Out1

SRS amp SBS amp attenuation 3

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Figure 10 The block scheme for analysis of the selected modulation and encoding techniques

Table 3 Comparison of selected modulation techniques implemented for the optical transmission system

Modulation techniques Parameters Fiber length [km]40 80 120 160 200 240 280 320

OOK BER [ ] 10minus12 10minus12 10minus12 10minus9 10minus2 10minus1 10minus1 10minus1

OSNR [dB] 25 19 14 7 2 1 1 1

BPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

DBPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus10 10minus8

OSNR [dB] 27 24 20 17 15 11 8 5

BFSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 28 26 24 21 18 16 13 10

QPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

8PSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus10 10minus6 10minus3 10minus2

OSNR [dB] 27 23 19 14 9 6 2 1

16QAM BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus9 10minus3 10minus1 10minus1

OSNR [dB] 27 22 17 12 7 2 2 1

Calculated BER

BER

0

1

2

3

4

5

6

7

8

9

10

Length (km)0 50 100 150 200 250 300 350

OOKBPSKDBPSK

times10minus3

OOK-RS (255 239)

DBPSK-RS (255 239)

OOK-BCH (255 231)BPSK-BCH (255 231)DBPSK-BCH (255 231)OOK-LDPC (960 480)BPSK-LDPC (960 480)DBPSK-LDPC (960 480)

BPSK-RS (255 239)

Figure 11 Comparison of binary modulation techniques combinedwith encoding techniques

binarymodulations is twice higher Using a combinationwiththe PDM the result transmission rate achieves 40GbitsThe maximum range of 8PSK and 16QAM systems is around200 kmThe decreased range of these systems is due to ampli-fier noises and nonlinear effects in the optical environmentHowever these systems using the PDM have transmissionrates 60Gbits (PDM-8PSK) and 80Gbits (PDM-16QAM)per channel The analysis shows that the range limitationis mainly caused by amplifier noises and nonlinear effectsthat are accumulating For increasing the system range ofmultilevel modulation formats the use of encoding tech-niques such as the LDPC(960 480) code is optional Forfurther improvement of transmission characteristics opticalamplifiers with a low noise figure advanced detectors andsoft encoding schemes can be used However these compo-nents rapidly increase the system cost and particular financialanalysis for the system effectiveness is necessary Outputtransmission characteristics for each modulation techniqueare shown in Table 3

Journal of Engineering 9

5 Conclusion

This contribution analyzes a possible utilization of selectedmodulation and advanced encoding techniques at high datarate signal transmission in optical transmission medium Atfirst the prepared simulation model for optical transmissionsystems with real transmission systems is compared Next aperformance analysis of different binary andmultilevel mod-ulation techniques in combination with RS BCH and LDPCcodes utilized in optical transmission systems is presentedThe simulation results show the limitation of binary modu-lation techniques and their possible improvement using FECcodes The LDPC code can improve a systemrsquos performancefor all modulation schemes Finally a prepared optical systemwith real parameters is enhanced using the LDPC code andselected modulation and encoding techniques are analyzedfor their practical implementation

In future analyses convolutional or turbo codes with dif-ferent rates and constraint length can be considered More-over other recent modulation techniques in possible com-binations with encoding techniques are analyzed Besides autilization of solitons with available optical signal processingtechniques is a very interesting area

Disclosure

This work is a part of research activities conducted atSlovak University of Technology Bratislava Faculty of Elec-trical Engineering and Information Technology Institute ofTelecommunications within the scope of Projects VEGA no1017416 ldquoAdvanced Algorithms and Methods for New Gen-eration Optical Networks for the IMS and NGN ConvergedInfrastructurerdquo and KEGA no 007STU-42016 ldquoProgressiveEducational Methods in the Field of TelecommunicationsMultiservice Networksrdquo

Competing Interests

The authors declare that they have no competing interests

References

[1] K Fukuchi T KasamatsuMMorie et al ldquo1092-Tbs (273times40-Gbs) triple-bandultra-dense WDM optical-repeatered trans-mission experimentrdquo in Proceedings of the Optical Fiber Com-munication Conference (OFC rsquo01) Paper PD24 2001

[2] Z Jia J Yu H-C Chien Z Dong and D Di Huo ldquoField trans-mission of 100G and beyond multiple baud rates and mixedline rates using nyquist-WDM technologyrdquo Journal of LightwaveTechnology vol 30 no 24 Article ID 6235964 pp 3793ndash38042012

[3] H Rohde E Gottwald A Teixeira et al ldquoCoherent ultra denseWDM technology for next generation optical metro and accessnetworksrdquo Journal of Lightwave Technology vol 32 no 10 pp2041ndash2052 2014

[4] H Taga ldquoLong distance transmission experiments using theWDM technologyrdquo Journal of Lightwave Technology vol 14 no6 pp 1287ndash1298 1996

[5] B E A Saleh and M C Teich Fundamentals of PhotonicsWiley-Interscience 1991

[6] L N Binh Optical Fiber Communication Systems CRC PressNew York NY USA 2010

[7] G Keiser Optical Fiber Communications John Wiley amp SonsNew York NY USA 2003

[8] Z Jamaludin A F Abas A S M Noor and M K AbfullahldquoIssues on polarization mode dispersion (PMD) for high speedfiber optics transmissionrdquo Suranaree Journal of Science andTechnology vol 12 no 2 pp 98ndash106 2005

[9] S P Singh andN Singh ldquoNonlinear effects in optical fibers ori-ginmanagement and applicationsrdquoProgress in ElectromagneticsResearch vol 73 pp 249ndash275 2007

[10] E Iannone F Matera A Mecozzi andM SettembreNonlinearOptical Communication Networks TK510359N66 John Wileyamp Sons New York NY USA 1998

[11] D Cotter ldquoNonlinearity in optical fibre communicationsrdquo inNonlinear Optics in Signal Processing RW Eason andAMillerEds vol 49 of Engineering Aspects of Lasers Series SpringerAmsterdam Netherlands 1993

[12] R Hill A First Course in Coding Theory Clarendon PressOxford UK 1980

[13] W Trappe and L C Washington Introduction to CryptographywithCodingTheory PearsonPrenticeHall New JerseyNJUSA2006

[14] J H van Lint Introduction to Coding Theory Springer BerlinGermany 1999

[15] M BossertChannel Coding for Telecommunications JohnWileyamp Sons New York NY USA 1999

[16] F Certık ldquoUtilization of encoding techniques at the signal trans-mission in the optical fiberrdquo in Advances in Signal Processingvol 3 no 2 pp 17ndash24 2015

[17] F Certık ldquoThe analysis of different encoding and modulationtechniques at the signal transmission in the optical mediumrdquo inProceedings of the 37th International Symposium on the Appli-cation of Computers and Operations Research in the MineralIndustry (APCOM rsquo15) pp 978ndash80 STU Publishing HouseBratislava Slovakia

[18] R Roka ldquoFixed transmission mediardquo in Technology and Engi-neering Applications of Simulink S Chakravarty Ed pp 41ndash68InTech Rijeka Croatia 2012

[19] R Roka and F Certık ldquoSimulation tools for broadband passiveoptical networksrdquo in Simulation Technologies in Networking andCommunications Selecting the Best Tool for the Test CRC PressBoca Raton Fla USA 2014

[20] R Roka ldquoThe environment of fixed transmission media andtheir negative influences in the simulationrdquo International Jour-nal ofMathematics and Computers in Simulation vol 9 pp 190ndash205 2015

[21] R Essiambre G Kramer P J Winzer G J Foschini and BGoebel ldquoCapacity limits of optical fiber networksrdquo Journal ofLightwave Technology vol 28 no 4 pp 662ndash701 2010

[22] P J Winzer and R J Essiambre ldquoAdvanced optical modulationformatsrdquo Proceedings of the IEEE vol 94 no 5 pp 952ndash9852006

[23] M I Olmedo T Zuo J B Jensen et al ldquoMultiband carrierlessamplitude phase modulation for high capacity optical datalinksrdquo Journal of Lightwave Technology vol 32 no 4 pp 798ndash804 2014

[24] T Rahman D Rafigue A Napoli et al ldquoUltralong haul 128-Tbs PM-16QAMWDM transmission employing hybrid amplifica-tionrdquo Journal of Lightwave Technology vol 33 no 9 pp 1794ndash1804 2015

10 Journal of Engineering

[25] S Chandrasekhar and X Liu ldquoExperimental investigation onthe performance of closely spaced multi-carrier PDM-QPSKwith digital coherent detectionrdquo Optics Express vol 17 no 24pp 21350ndash21361 2009

[26] I B Djordjevic ldquoGeneralized LDPC codes and turbo-productcodes with reed-muller component codesrdquo in Proceedings of the8th International Conference on Telecommunications in ModernSatellite Cable and Broadcasting Services (TELSIKS rsquo07) pp127ndash134 Nis Serbia September 2007

[27] D Ouchi K Kubo T Mizuochi et al ldquoA fully integrated blockturbo code FEC for 10Gbs optical communication systemsrdquoin Proceedings of the Optical Fiber Communication (OFC rsquo06)Anaheim Calif USA March 2006

International Journal of

AerospaceEngineeringHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

RoboticsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Active and Passive Electronic Components

Control Scienceand Engineering

Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

International Journal of

RotatingMachinery

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporation httpwwwhindawicom

Journal ofEngineeringVolume 2014

Submit your manuscripts athttpwwwhindawicom

VLSI Design

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Shock and Vibration

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Civil EngineeringAdvances in

Acoustics and VibrationAdvances in

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Electrical and Computer Engineering

Journal of

Advances inOptoElectronics

Hindawi Publishing Corporation httpwwwhindawicom

Volume 2014

The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014

SensorsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Modelling amp Simulation in EngineeringHindawi Publishing Corporation httpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Chemical EngineeringInternational Journal of Antennas and

Propagation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Navigation and Observation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

DistributedSensor Networks

International Journal of

Page 7: Research Article Possibilities for Advanced Encoding Techniques at Signal …downloads.hindawi.com/journals/je/2016/2385372.pdf · 2019-07-30 · Research Article Possibilities for

Journal of Engineering 7

0 2 4 6 8 10 12 14 16 18

BER

OOK NRZDuobinary

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

EbN0 (dB)

Figure 7 BER transmission characteristics for OOK keying andDuobinary modulation

0 2 4 6 8 10 12 14 16 18

BER

DBPSKBPSKBFSK

EbN0 (dB)

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

Figure 8 BER transmission characteristics for BPSK DBPSK andBFSK keying

0 2 4 6 8 10 12 14 16 18

BER

DQPSK8PSK

QPSK16QAM

100

10minus1

10minus2

10minus3

10minus4

10minus5

10minus6

10minus7

10minus8

EbN0 (dB)

Figure 9 BER transmission characteristics for QPSK DQPSK8PSK and 16QAM keying

time to encode data Therefore 10 data streams are encodedseparately and afterwards multiplexed into one data stream(shown in Figure 2) For analyzing and simulating onlybinary modulation formats are used

A comparison of binary modulation techniques (nonco-herent OOK BPSK and DBPSK) combined with encodingtechniques (RS BCH and LDPC) is shown in Figure 11Encoding techniques can increase the system range from50 km up to 160 km depending on appropriate code Bettertransmission characteristics are achievable through coherentphase modulations BPSK and DBPSK where limitations arebetween 80 and 100 km The BCH and RS codes increasethe range of these systems up to 160 km and this systemrange can be increased up to 230 km by using the LDPCcodeThe LDPC code is more than 50 efficient compared toBCH and RS codes however such a system needs encodingindividual data signals with lower transmission rates than thetotal system transmission rate Therefore it is more effectiveto use the LDPC code inmetropolitan networks where a timemultiplexing is used

4 The Implementation of Modulation andEncoding Techniques

Selected modulation and encoding techniques are imple-mented on the optical transmission system with the standardSM fiber (ITU-TG652) where a data signal with the 10Gbitstransmission rate and 80WDMchannels is transmitted Indi-vidual transmitters are designed using the MZM modulatorwhere a continuous wave generated in the CW-DFB laseris modulated with a data signal generated by the Bernoulligenerator The CW-DFB laser generates a continuous wavewith 1mW power and embeds the 4 dB amplitude noise Itis considered that a phase noise is suppressed The analyzedsignal is transmitted with the 1934 THz optical frequencyand the resulting OSNR is 30 dB For increasing the opticaltransmission path range EDFA amplifiers are used every40 km for amplifying the transmitted signal where a noisefigureNF is equal to 4 dBTheoptical fiberwith a negativeCDis placed before a receiver to compensate the CD effect in thesystemThe received signal is detected by a coherent detectorwhose sensitivity is around minus17 dBm Based on the previousanalysis a hard decision scheme with the LDPC(960 480)code is selected for implementation

First binary modulation techniques can be consideredwhere the OOK has the worst transmission characteristicsand therefore the transmission system range is limited to230 km The analyzed BPSK and BFSK modulations achievesimilar transmission characteristics where both systems arecapable of having a signal transmission over the 300 km linelength with the 10Gbits transmission rate It is optional touse these modulations to achieve the longest transmissionsystem range For increasing transmission rates of thesemodulations it is possible to use a combination with thePDM (PDM-BPSK and PDM-BFSK) where the transmissionrate of these systems will be higher twice (20Gbits) Forachieving higher transmission rates it is necessary to usemultilevel modulation formats The QPSK signal range isaround 300 km where a transmission rate compared with

8 Journal of Engineering

Out1

Data signal In2 Out1

Erbium doped fiber

In1

In2Out1

MZMOut1

CW

Out1

Cooperating channels

In1In2In3

Out1

WDM

Out1

EDFA

In2

Demodulator

In2 Out1

Erbium doped fiber 1

In2 Out1

Erbium doped fiber 2

In2 Out1

Erbium doped fiber 3

In Out

PMD

In Out

CHD

In Out

FWM

In2 Out1

SPM amp XPM

In1 Out1

SRS amp SBS amp attenuation

In Out

PMD1

In Out

CHD1

In Out

FWM1

In2 Out1

SPM amp XPM1

In1 Out1

SRS amp SBS amp attenuation 1

In Out

PMD2

In Out

CHD2

In Out

FWM2

In2 Out1

SPM amp XPM2

In1 Out1

SRS amp SBS amp attenuation 2

In Out

PMD3

In Out

CHD3

In Out

FWM3

In2 Out1

SPM amp XPM3

In1 Out1

SRS amp SBS amp attenuation 3

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Figure 10 The block scheme for analysis of the selected modulation and encoding techniques

Table 3 Comparison of selected modulation techniques implemented for the optical transmission system

Modulation techniques Parameters Fiber length [km]40 80 120 160 200 240 280 320

OOK BER [ ] 10minus12 10minus12 10minus12 10minus9 10minus2 10minus1 10minus1 10minus1

OSNR [dB] 25 19 14 7 2 1 1 1

BPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

DBPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus10 10minus8

OSNR [dB] 27 24 20 17 15 11 8 5

BFSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 28 26 24 21 18 16 13 10

QPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

8PSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus10 10minus6 10minus3 10minus2

OSNR [dB] 27 23 19 14 9 6 2 1

16QAM BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus9 10minus3 10minus1 10minus1

OSNR [dB] 27 22 17 12 7 2 2 1

Calculated BER

BER

0

1

2

3

4

5

6

7

8

9

10

Length (km)0 50 100 150 200 250 300 350

OOKBPSKDBPSK

times10minus3

OOK-RS (255 239)

DBPSK-RS (255 239)

OOK-BCH (255 231)BPSK-BCH (255 231)DBPSK-BCH (255 231)OOK-LDPC (960 480)BPSK-LDPC (960 480)DBPSK-LDPC (960 480)

BPSK-RS (255 239)

Figure 11 Comparison of binary modulation techniques combinedwith encoding techniques

binarymodulations is twice higher Using a combinationwiththe PDM the result transmission rate achieves 40GbitsThe maximum range of 8PSK and 16QAM systems is around200 kmThe decreased range of these systems is due to ampli-fier noises and nonlinear effects in the optical environmentHowever these systems using the PDM have transmissionrates 60Gbits (PDM-8PSK) and 80Gbits (PDM-16QAM)per channel The analysis shows that the range limitationis mainly caused by amplifier noises and nonlinear effectsthat are accumulating For increasing the system range ofmultilevel modulation formats the use of encoding tech-niques such as the LDPC(960 480) code is optional Forfurther improvement of transmission characteristics opticalamplifiers with a low noise figure advanced detectors andsoft encoding schemes can be used However these compo-nents rapidly increase the system cost and particular financialanalysis for the system effectiveness is necessary Outputtransmission characteristics for each modulation techniqueare shown in Table 3

Journal of Engineering 9

5 Conclusion

This contribution analyzes a possible utilization of selectedmodulation and advanced encoding techniques at high datarate signal transmission in optical transmission medium Atfirst the prepared simulation model for optical transmissionsystems with real transmission systems is compared Next aperformance analysis of different binary andmultilevel mod-ulation techniques in combination with RS BCH and LDPCcodes utilized in optical transmission systems is presentedThe simulation results show the limitation of binary modu-lation techniques and their possible improvement using FECcodes The LDPC code can improve a systemrsquos performancefor all modulation schemes Finally a prepared optical systemwith real parameters is enhanced using the LDPC code andselected modulation and encoding techniques are analyzedfor their practical implementation

In future analyses convolutional or turbo codes with dif-ferent rates and constraint length can be considered More-over other recent modulation techniques in possible com-binations with encoding techniques are analyzed Besides autilization of solitons with available optical signal processingtechniques is a very interesting area

Disclosure

This work is a part of research activities conducted atSlovak University of Technology Bratislava Faculty of Elec-trical Engineering and Information Technology Institute ofTelecommunications within the scope of Projects VEGA no1017416 ldquoAdvanced Algorithms and Methods for New Gen-eration Optical Networks for the IMS and NGN ConvergedInfrastructurerdquo and KEGA no 007STU-42016 ldquoProgressiveEducational Methods in the Field of TelecommunicationsMultiservice Networksrdquo

Competing Interests

The authors declare that they have no competing interests

References

[1] K Fukuchi T KasamatsuMMorie et al ldquo1092-Tbs (273times40-Gbs) triple-bandultra-dense WDM optical-repeatered trans-mission experimentrdquo in Proceedings of the Optical Fiber Com-munication Conference (OFC rsquo01) Paper PD24 2001

[2] Z Jia J Yu H-C Chien Z Dong and D Di Huo ldquoField trans-mission of 100G and beyond multiple baud rates and mixedline rates using nyquist-WDM technologyrdquo Journal of LightwaveTechnology vol 30 no 24 Article ID 6235964 pp 3793ndash38042012

[3] H Rohde E Gottwald A Teixeira et al ldquoCoherent ultra denseWDM technology for next generation optical metro and accessnetworksrdquo Journal of Lightwave Technology vol 32 no 10 pp2041ndash2052 2014

[4] H Taga ldquoLong distance transmission experiments using theWDM technologyrdquo Journal of Lightwave Technology vol 14 no6 pp 1287ndash1298 1996

[5] B E A Saleh and M C Teich Fundamentals of PhotonicsWiley-Interscience 1991

[6] L N Binh Optical Fiber Communication Systems CRC PressNew York NY USA 2010

[7] G Keiser Optical Fiber Communications John Wiley amp SonsNew York NY USA 2003

[8] Z Jamaludin A F Abas A S M Noor and M K AbfullahldquoIssues on polarization mode dispersion (PMD) for high speedfiber optics transmissionrdquo Suranaree Journal of Science andTechnology vol 12 no 2 pp 98ndash106 2005

[9] S P Singh andN Singh ldquoNonlinear effects in optical fibers ori-ginmanagement and applicationsrdquoProgress in ElectromagneticsResearch vol 73 pp 249ndash275 2007

[10] E Iannone F Matera A Mecozzi andM SettembreNonlinearOptical Communication Networks TK510359N66 John Wileyamp Sons New York NY USA 1998

[11] D Cotter ldquoNonlinearity in optical fibre communicationsrdquo inNonlinear Optics in Signal Processing RW Eason andAMillerEds vol 49 of Engineering Aspects of Lasers Series SpringerAmsterdam Netherlands 1993

[12] R Hill A First Course in Coding Theory Clarendon PressOxford UK 1980

[13] W Trappe and L C Washington Introduction to CryptographywithCodingTheory PearsonPrenticeHall New JerseyNJUSA2006

[14] J H van Lint Introduction to Coding Theory Springer BerlinGermany 1999

[15] M BossertChannel Coding for Telecommunications JohnWileyamp Sons New York NY USA 1999

[16] F Certık ldquoUtilization of encoding techniques at the signal trans-mission in the optical fiberrdquo in Advances in Signal Processingvol 3 no 2 pp 17ndash24 2015

[17] F Certık ldquoThe analysis of different encoding and modulationtechniques at the signal transmission in the optical mediumrdquo inProceedings of the 37th International Symposium on the Appli-cation of Computers and Operations Research in the MineralIndustry (APCOM rsquo15) pp 978ndash80 STU Publishing HouseBratislava Slovakia

[18] R Roka ldquoFixed transmission mediardquo in Technology and Engi-neering Applications of Simulink S Chakravarty Ed pp 41ndash68InTech Rijeka Croatia 2012

[19] R Roka and F Certık ldquoSimulation tools for broadband passiveoptical networksrdquo in Simulation Technologies in Networking andCommunications Selecting the Best Tool for the Test CRC PressBoca Raton Fla USA 2014

[20] R Roka ldquoThe environment of fixed transmission media andtheir negative influences in the simulationrdquo International Jour-nal ofMathematics and Computers in Simulation vol 9 pp 190ndash205 2015

[21] R Essiambre G Kramer P J Winzer G J Foschini and BGoebel ldquoCapacity limits of optical fiber networksrdquo Journal ofLightwave Technology vol 28 no 4 pp 662ndash701 2010

[22] P J Winzer and R J Essiambre ldquoAdvanced optical modulationformatsrdquo Proceedings of the IEEE vol 94 no 5 pp 952ndash9852006

[23] M I Olmedo T Zuo J B Jensen et al ldquoMultiband carrierlessamplitude phase modulation for high capacity optical datalinksrdquo Journal of Lightwave Technology vol 32 no 4 pp 798ndash804 2014

[24] T Rahman D Rafigue A Napoli et al ldquoUltralong haul 128-Tbs PM-16QAMWDM transmission employing hybrid amplifica-tionrdquo Journal of Lightwave Technology vol 33 no 9 pp 1794ndash1804 2015

10 Journal of Engineering

[25] S Chandrasekhar and X Liu ldquoExperimental investigation onthe performance of closely spaced multi-carrier PDM-QPSKwith digital coherent detectionrdquo Optics Express vol 17 no 24pp 21350ndash21361 2009

[26] I B Djordjevic ldquoGeneralized LDPC codes and turbo-productcodes with reed-muller component codesrdquo in Proceedings of the8th International Conference on Telecommunications in ModernSatellite Cable and Broadcasting Services (TELSIKS rsquo07) pp127ndash134 Nis Serbia September 2007

[27] D Ouchi K Kubo T Mizuochi et al ldquoA fully integrated blockturbo code FEC for 10Gbs optical communication systemsrdquoin Proceedings of the Optical Fiber Communication (OFC rsquo06)Anaheim Calif USA March 2006

International Journal of

AerospaceEngineeringHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

RoboticsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Active and Passive Electronic Components

Control Scienceand Engineering

Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

International Journal of

RotatingMachinery

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporation httpwwwhindawicom

Journal ofEngineeringVolume 2014

Submit your manuscripts athttpwwwhindawicom

VLSI Design

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Shock and Vibration

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Civil EngineeringAdvances in

Acoustics and VibrationAdvances in

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Electrical and Computer Engineering

Journal of

Advances inOptoElectronics

Hindawi Publishing Corporation httpwwwhindawicom

Volume 2014

The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014

SensorsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Modelling amp Simulation in EngineeringHindawi Publishing Corporation httpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Chemical EngineeringInternational Journal of Antennas and

Propagation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Navigation and Observation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

DistributedSensor Networks

International Journal of

Page 8: Research Article Possibilities for Advanced Encoding Techniques at Signal …downloads.hindawi.com/journals/je/2016/2385372.pdf · 2019-07-30 · Research Article Possibilities for

8 Journal of Engineering

Out1

Data signal In2 Out1

Erbium doped fiber

In1

In2Out1

MZMOut1

CW

Out1

Cooperating channels

In1In2In3

Out1

WDM

Out1

EDFA

In2

Demodulator

In2 Out1

Erbium doped fiber 1

In2 Out1

Erbium doped fiber 2

In2 Out1

Erbium doped fiber 3

In Out

PMD

In Out

CHD

In Out

FWM

In2 Out1

SPM amp XPM

In1 Out1

SRS amp SBS amp attenuation

In Out

PMD1

In Out

CHD1

In Out

FWM1

In2 Out1

SPM amp XPM1

In1 Out1

SRS amp SBS amp attenuation 1

In Out

PMD2

In Out

CHD2

In Out

FWM2

In2 Out1

SPM amp XPM2

In1 Out1

SRS amp SBS amp attenuation 2

In Out

PMD3

In Out

CHD3

In Out

FWM3

In2 Out1

SPM amp XPM3

In1 Out1

SRS amp SBS amp attenuation 3

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Samsung SM NZD-SF 80km length

Figure 10 The block scheme for analysis of the selected modulation and encoding techniques

Table 3 Comparison of selected modulation techniques implemented for the optical transmission system

Modulation techniques Parameters Fiber length [km]40 80 120 160 200 240 280 320

OOK BER [ ] 10minus12 10minus12 10minus12 10minus9 10minus2 10minus1 10minus1 10minus1

OSNR [dB] 25 19 14 7 2 1 1 1

BPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

DBPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus10 10minus8

OSNR [dB] 27 24 20 17 15 11 8 5

BFSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 28 26 24 21 18 16 13 10

QPSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus12 10minus12 10minus11 10minus9

OSNR [dB] 27 24 20 17 15 11 8 5

8PSK BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus10 10minus6 10minus3 10minus2

OSNR [dB] 27 23 19 14 9 6 2 1

16QAM BER [ ] 10minus12 10minus12 10minus12 10minus12 10minus9 10minus3 10minus1 10minus1

OSNR [dB] 27 22 17 12 7 2 2 1

Calculated BER

BER

0

1

2

3

4

5

6

7

8

9

10

Length (km)0 50 100 150 200 250 300 350

OOKBPSKDBPSK

times10minus3

OOK-RS (255 239)

DBPSK-RS (255 239)

OOK-BCH (255 231)BPSK-BCH (255 231)DBPSK-BCH (255 231)OOK-LDPC (960 480)BPSK-LDPC (960 480)DBPSK-LDPC (960 480)

BPSK-RS (255 239)

Figure 11 Comparison of binary modulation techniques combinedwith encoding techniques

binarymodulations is twice higher Using a combinationwiththe PDM the result transmission rate achieves 40GbitsThe maximum range of 8PSK and 16QAM systems is around200 kmThe decreased range of these systems is due to ampli-fier noises and nonlinear effects in the optical environmentHowever these systems using the PDM have transmissionrates 60Gbits (PDM-8PSK) and 80Gbits (PDM-16QAM)per channel The analysis shows that the range limitationis mainly caused by amplifier noises and nonlinear effectsthat are accumulating For increasing the system range ofmultilevel modulation formats the use of encoding tech-niques such as the LDPC(960 480) code is optional Forfurther improvement of transmission characteristics opticalamplifiers with a low noise figure advanced detectors andsoft encoding schemes can be used However these compo-nents rapidly increase the system cost and particular financialanalysis for the system effectiveness is necessary Outputtransmission characteristics for each modulation techniqueare shown in Table 3

Journal of Engineering 9

5 Conclusion

This contribution analyzes a possible utilization of selectedmodulation and advanced encoding techniques at high datarate signal transmission in optical transmission medium Atfirst the prepared simulation model for optical transmissionsystems with real transmission systems is compared Next aperformance analysis of different binary andmultilevel mod-ulation techniques in combination with RS BCH and LDPCcodes utilized in optical transmission systems is presentedThe simulation results show the limitation of binary modu-lation techniques and their possible improvement using FECcodes The LDPC code can improve a systemrsquos performancefor all modulation schemes Finally a prepared optical systemwith real parameters is enhanced using the LDPC code andselected modulation and encoding techniques are analyzedfor their practical implementation

In future analyses convolutional or turbo codes with dif-ferent rates and constraint length can be considered More-over other recent modulation techniques in possible com-binations with encoding techniques are analyzed Besides autilization of solitons with available optical signal processingtechniques is a very interesting area

Disclosure

This work is a part of research activities conducted atSlovak University of Technology Bratislava Faculty of Elec-trical Engineering and Information Technology Institute ofTelecommunications within the scope of Projects VEGA no1017416 ldquoAdvanced Algorithms and Methods for New Gen-eration Optical Networks for the IMS and NGN ConvergedInfrastructurerdquo and KEGA no 007STU-42016 ldquoProgressiveEducational Methods in the Field of TelecommunicationsMultiservice Networksrdquo

Competing Interests

The authors declare that they have no competing interests

References

[1] K Fukuchi T KasamatsuMMorie et al ldquo1092-Tbs (273times40-Gbs) triple-bandultra-dense WDM optical-repeatered trans-mission experimentrdquo in Proceedings of the Optical Fiber Com-munication Conference (OFC rsquo01) Paper PD24 2001

[2] Z Jia J Yu H-C Chien Z Dong and D Di Huo ldquoField trans-mission of 100G and beyond multiple baud rates and mixedline rates using nyquist-WDM technologyrdquo Journal of LightwaveTechnology vol 30 no 24 Article ID 6235964 pp 3793ndash38042012

[3] H Rohde E Gottwald A Teixeira et al ldquoCoherent ultra denseWDM technology for next generation optical metro and accessnetworksrdquo Journal of Lightwave Technology vol 32 no 10 pp2041ndash2052 2014

[4] H Taga ldquoLong distance transmission experiments using theWDM technologyrdquo Journal of Lightwave Technology vol 14 no6 pp 1287ndash1298 1996

[5] B E A Saleh and M C Teich Fundamentals of PhotonicsWiley-Interscience 1991

[6] L N Binh Optical Fiber Communication Systems CRC PressNew York NY USA 2010

[7] G Keiser Optical Fiber Communications John Wiley amp SonsNew York NY USA 2003

[8] Z Jamaludin A F Abas A S M Noor and M K AbfullahldquoIssues on polarization mode dispersion (PMD) for high speedfiber optics transmissionrdquo Suranaree Journal of Science andTechnology vol 12 no 2 pp 98ndash106 2005

[9] S P Singh andN Singh ldquoNonlinear effects in optical fibers ori-ginmanagement and applicationsrdquoProgress in ElectromagneticsResearch vol 73 pp 249ndash275 2007

[10] E Iannone F Matera A Mecozzi andM SettembreNonlinearOptical Communication Networks TK510359N66 John Wileyamp Sons New York NY USA 1998

[11] D Cotter ldquoNonlinearity in optical fibre communicationsrdquo inNonlinear Optics in Signal Processing RW Eason andAMillerEds vol 49 of Engineering Aspects of Lasers Series SpringerAmsterdam Netherlands 1993

[12] R Hill A First Course in Coding Theory Clarendon PressOxford UK 1980

[13] W Trappe and L C Washington Introduction to CryptographywithCodingTheory PearsonPrenticeHall New JerseyNJUSA2006

[14] J H van Lint Introduction to Coding Theory Springer BerlinGermany 1999

[15] M BossertChannel Coding for Telecommunications JohnWileyamp Sons New York NY USA 1999

[16] F Certık ldquoUtilization of encoding techniques at the signal trans-mission in the optical fiberrdquo in Advances in Signal Processingvol 3 no 2 pp 17ndash24 2015

[17] F Certık ldquoThe analysis of different encoding and modulationtechniques at the signal transmission in the optical mediumrdquo inProceedings of the 37th International Symposium on the Appli-cation of Computers and Operations Research in the MineralIndustry (APCOM rsquo15) pp 978ndash80 STU Publishing HouseBratislava Slovakia

[18] R Roka ldquoFixed transmission mediardquo in Technology and Engi-neering Applications of Simulink S Chakravarty Ed pp 41ndash68InTech Rijeka Croatia 2012

[19] R Roka and F Certık ldquoSimulation tools for broadband passiveoptical networksrdquo in Simulation Technologies in Networking andCommunications Selecting the Best Tool for the Test CRC PressBoca Raton Fla USA 2014

[20] R Roka ldquoThe environment of fixed transmission media andtheir negative influences in the simulationrdquo International Jour-nal ofMathematics and Computers in Simulation vol 9 pp 190ndash205 2015

[21] R Essiambre G Kramer P J Winzer G J Foschini and BGoebel ldquoCapacity limits of optical fiber networksrdquo Journal ofLightwave Technology vol 28 no 4 pp 662ndash701 2010

[22] P J Winzer and R J Essiambre ldquoAdvanced optical modulationformatsrdquo Proceedings of the IEEE vol 94 no 5 pp 952ndash9852006

[23] M I Olmedo T Zuo J B Jensen et al ldquoMultiband carrierlessamplitude phase modulation for high capacity optical datalinksrdquo Journal of Lightwave Technology vol 32 no 4 pp 798ndash804 2014

[24] T Rahman D Rafigue A Napoli et al ldquoUltralong haul 128-Tbs PM-16QAMWDM transmission employing hybrid amplifica-tionrdquo Journal of Lightwave Technology vol 33 no 9 pp 1794ndash1804 2015

10 Journal of Engineering

[25] S Chandrasekhar and X Liu ldquoExperimental investigation onthe performance of closely spaced multi-carrier PDM-QPSKwith digital coherent detectionrdquo Optics Express vol 17 no 24pp 21350ndash21361 2009

[26] I B Djordjevic ldquoGeneralized LDPC codes and turbo-productcodes with reed-muller component codesrdquo in Proceedings of the8th International Conference on Telecommunications in ModernSatellite Cable and Broadcasting Services (TELSIKS rsquo07) pp127ndash134 Nis Serbia September 2007

[27] D Ouchi K Kubo T Mizuochi et al ldquoA fully integrated blockturbo code FEC for 10Gbs optical communication systemsrdquoin Proceedings of the Optical Fiber Communication (OFC rsquo06)Anaheim Calif USA March 2006

International Journal of

AerospaceEngineeringHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

RoboticsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Active and Passive Electronic Components

Control Scienceand Engineering

Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

International Journal of

RotatingMachinery

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporation httpwwwhindawicom

Journal ofEngineeringVolume 2014

Submit your manuscripts athttpwwwhindawicom

VLSI Design

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Shock and Vibration

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Civil EngineeringAdvances in

Acoustics and VibrationAdvances in

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Electrical and Computer Engineering

Journal of

Advances inOptoElectronics

Hindawi Publishing Corporation httpwwwhindawicom

Volume 2014

The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014

SensorsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Modelling amp Simulation in EngineeringHindawi Publishing Corporation httpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Chemical EngineeringInternational Journal of Antennas and

Propagation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Navigation and Observation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

DistributedSensor Networks

International Journal of

Page 9: Research Article Possibilities for Advanced Encoding Techniques at Signal …downloads.hindawi.com/journals/je/2016/2385372.pdf · 2019-07-30 · Research Article Possibilities for

Journal of Engineering 9

5 Conclusion

This contribution analyzes a possible utilization of selectedmodulation and advanced encoding techniques at high datarate signal transmission in optical transmission medium Atfirst the prepared simulation model for optical transmissionsystems with real transmission systems is compared Next aperformance analysis of different binary andmultilevel mod-ulation techniques in combination with RS BCH and LDPCcodes utilized in optical transmission systems is presentedThe simulation results show the limitation of binary modu-lation techniques and their possible improvement using FECcodes The LDPC code can improve a systemrsquos performancefor all modulation schemes Finally a prepared optical systemwith real parameters is enhanced using the LDPC code andselected modulation and encoding techniques are analyzedfor their practical implementation

In future analyses convolutional or turbo codes with dif-ferent rates and constraint length can be considered More-over other recent modulation techniques in possible com-binations with encoding techniques are analyzed Besides autilization of solitons with available optical signal processingtechniques is a very interesting area

Disclosure

This work is a part of research activities conducted atSlovak University of Technology Bratislava Faculty of Elec-trical Engineering and Information Technology Institute ofTelecommunications within the scope of Projects VEGA no1017416 ldquoAdvanced Algorithms and Methods for New Gen-eration Optical Networks for the IMS and NGN ConvergedInfrastructurerdquo and KEGA no 007STU-42016 ldquoProgressiveEducational Methods in the Field of TelecommunicationsMultiservice Networksrdquo

Competing Interests

The authors declare that they have no competing interests

References

[1] K Fukuchi T KasamatsuMMorie et al ldquo1092-Tbs (273times40-Gbs) triple-bandultra-dense WDM optical-repeatered trans-mission experimentrdquo in Proceedings of the Optical Fiber Com-munication Conference (OFC rsquo01) Paper PD24 2001

[2] Z Jia J Yu H-C Chien Z Dong and D Di Huo ldquoField trans-mission of 100G and beyond multiple baud rates and mixedline rates using nyquist-WDM technologyrdquo Journal of LightwaveTechnology vol 30 no 24 Article ID 6235964 pp 3793ndash38042012

[3] H Rohde E Gottwald A Teixeira et al ldquoCoherent ultra denseWDM technology for next generation optical metro and accessnetworksrdquo Journal of Lightwave Technology vol 32 no 10 pp2041ndash2052 2014

[4] H Taga ldquoLong distance transmission experiments using theWDM technologyrdquo Journal of Lightwave Technology vol 14 no6 pp 1287ndash1298 1996

[5] B E A Saleh and M C Teich Fundamentals of PhotonicsWiley-Interscience 1991

[6] L N Binh Optical Fiber Communication Systems CRC PressNew York NY USA 2010

[7] G Keiser Optical Fiber Communications John Wiley amp SonsNew York NY USA 2003

[8] Z Jamaludin A F Abas A S M Noor and M K AbfullahldquoIssues on polarization mode dispersion (PMD) for high speedfiber optics transmissionrdquo Suranaree Journal of Science andTechnology vol 12 no 2 pp 98ndash106 2005

[9] S P Singh andN Singh ldquoNonlinear effects in optical fibers ori-ginmanagement and applicationsrdquoProgress in ElectromagneticsResearch vol 73 pp 249ndash275 2007

[10] E Iannone F Matera A Mecozzi andM SettembreNonlinearOptical Communication Networks TK510359N66 John Wileyamp Sons New York NY USA 1998

[11] D Cotter ldquoNonlinearity in optical fibre communicationsrdquo inNonlinear Optics in Signal Processing RW Eason andAMillerEds vol 49 of Engineering Aspects of Lasers Series SpringerAmsterdam Netherlands 1993

[12] R Hill A First Course in Coding Theory Clarendon PressOxford UK 1980

[13] W Trappe and L C Washington Introduction to CryptographywithCodingTheory PearsonPrenticeHall New JerseyNJUSA2006

[14] J H van Lint Introduction to Coding Theory Springer BerlinGermany 1999

[15] M BossertChannel Coding for Telecommunications JohnWileyamp Sons New York NY USA 1999

[16] F Certık ldquoUtilization of encoding techniques at the signal trans-mission in the optical fiberrdquo in Advances in Signal Processingvol 3 no 2 pp 17ndash24 2015

[17] F Certık ldquoThe analysis of different encoding and modulationtechniques at the signal transmission in the optical mediumrdquo inProceedings of the 37th International Symposium on the Appli-cation of Computers and Operations Research in the MineralIndustry (APCOM rsquo15) pp 978ndash80 STU Publishing HouseBratislava Slovakia

[18] R Roka ldquoFixed transmission mediardquo in Technology and Engi-neering Applications of Simulink S Chakravarty Ed pp 41ndash68InTech Rijeka Croatia 2012

[19] R Roka and F Certık ldquoSimulation tools for broadband passiveoptical networksrdquo in Simulation Technologies in Networking andCommunications Selecting the Best Tool for the Test CRC PressBoca Raton Fla USA 2014

[20] R Roka ldquoThe environment of fixed transmission media andtheir negative influences in the simulationrdquo International Jour-nal ofMathematics and Computers in Simulation vol 9 pp 190ndash205 2015

[21] R Essiambre G Kramer P J Winzer G J Foschini and BGoebel ldquoCapacity limits of optical fiber networksrdquo Journal ofLightwave Technology vol 28 no 4 pp 662ndash701 2010

[22] P J Winzer and R J Essiambre ldquoAdvanced optical modulationformatsrdquo Proceedings of the IEEE vol 94 no 5 pp 952ndash9852006

[23] M I Olmedo T Zuo J B Jensen et al ldquoMultiband carrierlessamplitude phase modulation for high capacity optical datalinksrdquo Journal of Lightwave Technology vol 32 no 4 pp 798ndash804 2014

[24] T Rahman D Rafigue A Napoli et al ldquoUltralong haul 128-Tbs PM-16QAMWDM transmission employing hybrid amplifica-tionrdquo Journal of Lightwave Technology vol 33 no 9 pp 1794ndash1804 2015

10 Journal of Engineering

[25] S Chandrasekhar and X Liu ldquoExperimental investigation onthe performance of closely spaced multi-carrier PDM-QPSKwith digital coherent detectionrdquo Optics Express vol 17 no 24pp 21350ndash21361 2009

[26] I B Djordjevic ldquoGeneralized LDPC codes and turbo-productcodes with reed-muller component codesrdquo in Proceedings of the8th International Conference on Telecommunications in ModernSatellite Cable and Broadcasting Services (TELSIKS rsquo07) pp127ndash134 Nis Serbia September 2007

[27] D Ouchi K Kubo T Mizuochi et al ldquoA fully integrated blockturbo code FEC for 10Gbs optical communication systemsrdquoin Proceedings of the Optical Fiber Communication (OFC rsquo06)Anaheim Calif USA March 2006

International Journal of

AerospaceEngineeringHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

RoboticsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Active and Passive Electronic Components

Control Scienceand Engineering

Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

International Journal of

RotatingMachinery

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporation httpwwwhindawicom

Journal ofEngineeringVolume 2014

Submit your manuscripts athttpwwwhindawicom

VLSI Design

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Shock and Vibration

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Civil EngineeringAdvances in

Acoustics and VibrationAdvances in

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Electrical and Computer Engineering

Journal of

Advances inOptoElectronics

Hindawi Publishing Corporation httpwwwhindawicom

Volume 2014

The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014

SensorsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Modelling amp Simulation in EngineeringHindawi Publishing Corporation httpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Chemical EngineeringInternational Journal of Antennas and

Propagation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Navigation and Observation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

DistributedSensor Networks

International Journal of

Page 10: Research Article Possibilities for Advanced Encoding Techniques at Signal …downloads.hindawi.com/journals/je/2016/2385372.pdf · 2019-07-30 · Research Article Possibilities for

10 Journal of Engineering

[25] S Chandrasekhar and X Liu ldquoExperimental investigation onthe performance of closely spaced multi-carrier PDM-QPSKwith digital coherent detectionrdquo Optics Express vol 17 no 24pp 21350ndash21361 2009

[26] I B Djordjevic ldquoGeneralized LDPC codes and turbo-productcodes with reed-muller component codesrdquo in Proceedings of the8th International Conference on Telecommunications in ModernSatellite Cable and Broadcasting Services (TELSIKS rsquo07) pp127ndash134 Nis Serbia September 2007

[27] D Ouchi K Kubo T Mizuochi et al ldquoA fully integrated blockturbo code FEC for 10Gbs optical communication systemsrdquoin Proceedings of the Optical Fiber Communication (OFC rsquo06)Anaheim Calif USA March 2006

International Journal of

AerospaceEngineeringHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

RoboticsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Active and Passive Electronic Components

Control Scienceand Engineering

Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

International Journal of

RotatingMachinery

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporation httpwwwhindawicom

Journal ofEngineeringVolume 2014

Submit your manuscripts athttpwwwhindawicom

VLSI Design

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Shock and Vibration

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Civil EngineeringAdvances in

Acoustics and VibrationAdvances in

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Electrical and Computer Engineering

Journal of

Advances inOptoElectronics

Hindawi Publishing Corporation httpwwwhindawicom

Volume 2014

The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014

SensorsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Modelling amp Simulation in EngineeringHindawi Publishing Corporation httpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Chemical EngineeringInternational Journal of Antennas and

Propagation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Navigation and Observation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

DistributedSensor Networks

International Journal of

Page 11: Research Article Possibilities for Advanced Encoding Techniques at Signal …downloads.hindawi.com/journals/je/2016/2385372.pdf · 2019-07-30 · Research Article Possibilities for

International Journal of

AerospaceEngineeringHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

RoboticsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Active and Passive Electronic Components

Control Scienceand Engineering

Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

International Journal of

RotatingMachinery

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporation httpwwwhindawicom

Journal ofEngineeringVolume 2014

Submit your manuscripts athttpwwwhindawicom

VLSI Design

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Shock and Vibration

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Civil EngineeringAdvances in

Acoustics and VibrationAdvances in

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Electrical and Computer Engineering

Journal of

Advances inOptoElectronics

Hindawi Publishing Corporation httpwwwhindawicom

Volume 2014

The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014

SensorsJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Modelling amp Simulation in EngineeringHindawi Publishing Corporation httpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Chemical EngineeringInternational Journal of Antennas and

Propagation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Navigation and Observation

International Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

DistributedSensor Networks

International Journal of