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SUGUMAR.D, Assistant Professor, ECE Department, Karunya University. 12EC244-Mobile Communications UNIT-1 (Wireless Transmission) 7/30/2012 1 Karunya University

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  • SUGUMAR.D,

    Assistant Professor,

    ECE Department,

    Karunya University.

    12EC244-Mobile Communications

    UNIT-1 (Wireless Transmission)

    7/30/2012 1 Karunya University

  • Unit-1 Wireless Transmission 12EC244 Mobile Communications

    Over View 1. Frequencies

    2. Signals

    3. Antennas

    4. Signal propagation

    5. Multiplexing

    6. Modulation

    7. Spread spectrum

    8. Cellular systems

    9. Medium Access Control

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  • Unit-1 Wireless Transmission 12EC244 Mobile Communications

    1.Frequencies for communication

    VLF = Very Low Frequency UHF = Ultra High Frequency

    LF = Low Frequency SHF = Super High Frequency

    MF = Medium Frequency EHF = Extra High Frequency

    HF = High Frequency UV = Ultraviolet Light

    VHF = Very High Frequency

    Frequency and wave length: = c/f wave length , speed of light c @ 3x108 m/s, frequency f

    1 Mm

    300 Hz

    10 km

    30 kHz

    100 m

    3 MHz

    1 m

    300 MHz

    10 mm

    30 GHz

    100 m

    3 THz

    1 m

    300 THz

    visible light VLF LF MF HF VHF UHF SHF EHF infrared UV

    optical transmission coax cable twisted

    pair

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    Frequencies for mobile communication VLF, LF, MF HF not used for wireless VHF-/UHF-ranges for mobile radio

    simple, small antenna for cars deterministic propagation characteristics, reliable connections

    SHF and higher for directed radio links, satellite communication small antenna, beam forming large bandwidth available

    Wireless LANs use frequencies in UHF to SHF range some systems planned up to EHF limitations due to absorption by water and oxygen molecules

    (resonance frequencies)

    weather dependent fading. E.g. signal loss caused by heavy rain

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    Frequencies and regulations ITU-R holds auctions for new frequencies, manages frequency bands

    worldwide (WRC, World Radio Conferences)

    Examples Europe USA Japan

    Cellular phones

    GSM 880-915, 925-960, 1710-1785, 1805-1880

    UMTS 1920-1980, 2110-2170

    AMPS, TDMA, CDMA, GSM 824-849, 869-894

    TDMA, CDMA, GSM, UMTS 1850-1910, 1930-1990

    PDC, FOMA 810-888, 893-958

    PDC 1429-1453, 1477-1501

    FOMA 1920-1980, 2110-2170

    Cordless phones

    CT1+ 885-887, 930-932

    CT2 864-868

    DECT 1880-1900

    PACS 1850-1910, 1930-1990

    PACS-UB 1910-1930

    PHS 1895-1918

    JCT 245-380

    Wireless

    LANs

    802.11b/g 2412-2472 802.11b/g 2412-2462

    802.11b 2412-2484

    802.11g 2412-2472

    Other RF systems

    27, 128, 418, 433, 868 315, 915 426, 868

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  • Unit-1 Wireless Transmission 12EC244 Mobile Communications

    Frequencies and regulations

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    2.Signals physical representation of data

    function of time and location

    signal parameters: parameters representing the value of data

    classification

    continuous time/discrete time

    continuous values/discrete values

    analog signal = continuous time and continuous values

    digital signal = discrete time and discrete values

    signal parameters of periodic signals:

    period T, frequency f=1/T, amplitude A, phase shift

    sine wave as special periodic signal for a carrier:

    s(t) = At sin(2 p ft t + t)

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    Fourier representation of periodic

    signals

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    1

    0

    1

    0

    t t

    ideal periodic signal real composition

    (based on harmonics)

    )2cos()2sin(2

    1)(

    11

    nftbnftactgn

    n

    n

    n

  • Unit-1 Wireless Transmission 12EC244 Mobile Communications

    Fourier representation of periodic signals

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    Representations of Signals

    Different representations of signals

    amplitude (amplitude domain)

    frequency spectrum (frequency domain)

    phase state diagram (amplitude M and phase in polar coordinates)

    Composed signals transferred into frequency domain using Fourier

    transformation

    Digital signals need infinite frequencies for perfect transmission modulation with a carrier frequency for transmission (analog signal!)

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    3.Antennas: isotropic radiator

    Radiation and reception of electromagnetic waves, coupling of wires to space for radio transmission

    Isotropic radiator: equal radiation in all directions (three dimensional) - only a theoretical reference antenna Real antennas always have directive effects (vertically and/or horizontally) Radiation pattern: measurement of radiation around an antenna

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    z y

    x

    z

    y x ideal

    isotropic

    radiator

  • Unit-1 Wireless Transmission 12EC244 Mobile Communications

    Antennas: simple dipoles Real antennas are not isotropic radiators but, e.g., dipoles with lengths

    /4 on car roofs or /2 as Hertzian dipole

    shape of antenna proportional to wavelength

    Example: Radiation pattern of a simple Hertzian dipole

    Gain: maximum power in the direction of the main lobe compared to

    the power of an isotropic radiator (with the same average power)

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    side view (xy-plane)

    x

    y

    side view (yz-plane)

    z

    y

    top view (xz-plane)

    x

    z

    simple

    dipole

    /4 /2

  • Unit-1 Wireless Transmission 12EC244 Mobile Communications

    Antennas: directed and sectorized Often used for microwave connections or base stations for mobile phones (e.g., radio coverage of a valley)

    y y z

    side view (xy-plane)

    x

    side view (yz-plane)

    z

    top view (xz-plane)

    x

    top view, 3 sector

    x

    z

    top view, 6 sector

    x

    z

    directed

    antenna

    sectorized

    antenna

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    Antennas: diversity

    Grouping of 2 or more antennas

    multi-element antenna arrays

    Antenna diversity

    switched diversity, selection diversity receiver chooses antenna with largest output

    diversity combining

    combine output power to produce gain co phasing needed to avoid cancellation

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    4.Signal propagation ranges

    Transmission range

    communication possible

    low error rate

    Detection range

    detection of the signal possible

    no communication possible

    Interference range

    signal may not be detected

    signal adds to the background noise

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    Signal propagation Propagation in free space always like light (straight line) Receiving power proportional to 1/d in vacuum much more in real

    environments

    (d = distance between sender and receiver) Receiving power additionally influenced by

    fading (frequency dependent) shadowing reflection at large obstacles refraction depending on the density of a medium scattering at small obstacles diffraction at edges

    reflection scattering diffraction shadowing refraction

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    Multipath propagation Signal can take many different paths between sender and receiver due to

    reflection, scattering, diffraction

    Time dispersion: signal is dispersed over time interference with neighbor symbols, Inter Symbol Interference (ISI) The signal reaches a receiver directly and phase shifted distorted signal depending on the phases of the different parts

    signal at sender

    signal at receiver

    LOS pulses multipath

    pulses

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    short term fading

    long term

    fading

    t

    power

    Channel characteristics change over time and location signal paths change different delay variations of different signal parts different phases of signal parts

    quick changes in the power received (short term fading) Additional changes in

    distance to sender obstacles further away

    slow changes in the average power received (long term fading)

    Effects of mobility

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    5.Multiplexing

    Multiplexing in 4 dimensions space (si) time (t) frequency (f) code (c)

    Goal: multiple use of a shared medium

    Important: guard spaces needed! s2

    s3

    s1 f

    t

    c

    k2 k3 k4 k5 k6 k1

    f

    t

    c

    f

    t

    c

    channels ki

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    Frequency Multiplex Separation of the whole spectrum

    into smaller frequency bands

    A channel gets a certain band of the spectrum for the whole time

    Advantages: no dynamic coordination

    necessary

    works also for analog signals Disadvantages:

    waste of bandwidth if the traffic is distributed unevenly

    inflexible guard spaces

    k2 k3 k4 k5 k6 k1

    f

    t

    c

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    Time Multiplex A channel gets the whole spectrum for a certain amount of time

    Advantages:

    only one carrier in the medium at any time

    throughput high even for many users

    Disadvantages:

    Precise synchronization necessary

    f

    t

    c

    k2 k3 k4 k5 k6 k1

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    Time and Frequency Multiplex

    Combination of both methods

    A channel gets a certain frequency band for a certain amount of time

    Example: GSM

    Advantages: better protection

    against tapping

    protection against frequency selective interference

    higher data rates compared to code multiplex

    but: precise coordination required

    f

    t

    c

    k2 k3 k4 k5 k6 k1

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    Code Multiplex

    Each channel has a unique code All channels use the same spectrum

    at the same time

    Advantages: bandwidth efficient no coordination and

    synchronization necessary

    good protection against interference and tapping

    Disadvantages: lower user data rates more complex signal

    regeneration

    Implemented using spread spectrum technology

    k2 k3 k4 k5 k6 k1

    t

    c

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    6.Modulation Digital modulation

    digital data is translated into an analog signal (baseband)

    ASK, FSK, PSK - main focus in this chapter

    differences in spectral efficiency, power efficiency, robustness

    Analog modulation

    shifts center frequency of baseband signal up to the radio carrier

    Motivation

    smaller antennas (e.g., l/4)

    Frequency Division Multiplexing

    medium characteristics

    Basic schemes

    Amplitude Modulation (AM)

    Frequency Modulation (FM)

    Phase Modulation (PM)

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    Modulation and Demodulation

    synchronization

    decision

    digital

    data analog

    demodulation

    radio

    carrier

    analog

    baseband

    signal

    101101001 radio receiver

    digital

    modulation

    digital

    data analog

    modulation

    radio

    carrier

    analog

    baseband

    signal

    101101001 radio transmitter

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    Digital Modulation

    Modulation of digital signals known as

    Shift Keying

    Amplitude Shift Keying (ASK): very simple low bandwidth requirements very susceptible to interference

    Frequency Shift Keying (FSK): needs larger bandwidth

    Phase Shift Keying (PSK): more complex robust against interference

    1 0 1

    t

    1 0 1

    t

    1 0 1

    t

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    Advanced Frequency Shift Keying

    Bandwidth needed for FSK depends on the distance between the carrier frequencies

    special pre-computation avoids sudden phase shifts MSK (Minimum Shift Keying)

    bit separated into even and odd bits, the duration of each bit is doubled

    depending on the bit values (even, odd) the higher or lower frequency, original or inverted is chosen

    the frequency of one carrier is twice the frequency of the other

    Equivalent to offset QPSK

    even higher bandwidth efficiency using a Gaussian low-pass filter GMSK (Gaussian MSK), used in GSM

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    Example of MSK

    data

    even bits

    odd bits

    1 1 1 1 0 0 0

    t

    low

    frequency

    high

    frequency

    MSK

    signal

    bit

    even 0 1 0 1

    odd 0 0 1 1

    signal h n n h

    value - - + +

    h: high frequency

    n: low frequency

    +: original signal

    -: inverted signal

    No phase shifts!

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    Advanced Phase Shift Keying BPSK (Binary Phase Shift Keying):

    bit value 0: sine wave

    bit value 1: inverted sine wave

    very simple PSK

    low spectral efficiency

    robust, used e.g. in satellite systems

    QPSK (Quadrature Phase Shift Keying):

    2 bits coded as one symbol

    symbol determines shift of sine wave

    needs less bandwidth compared to BPSK

    more complex

    Often also transmission of relative, not absolute phase shift: DQPSK -Differential

    QPSK (IS-136, PHS) 11 10 00 01

    Q

    I 0 1

    Q

    I

    11

    01

    10

    00

    A

    t

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    Quadrature Amplitude Modulation Quadrature Amplitude Modulation

    (QAM): combines amplitude and phase

    modulation

    it is possible to code n bits using one symbol

    2n discrete levels, n=2 identical to QPSK

    bit error rate increases with n, but less errors compared to comparable PSK

    schemes

    Example: 16-QAM (4 bits = 1 symbol)

    Symbols 0011 and 0001 have the same phase f , but different amplitude a. 0000

    and 1000 have different phase, but same

    amplitude. used in standard 9600 bit/s

    modems

    0000

    0001

    0011

    1000

    Q

    I

    0010

    a

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    Hierarchical Modulation DVB-T modulates two separate data streams onto a

    single DVB-T stream

    High Priority (HP) embedded within a Low Priority (LP) stream

    Multi carrier system, about 2000 or 8000 carriers

    QPSK, 16 QAM, 64QAM

    Example: 64QAM

    good reception: resolve the entire 64QAM constellation

    poor reception, mobile reception: resolve only QPSK portion

    6 bit per QAM symbol, 2 most significant determine QPSK

    HP service coded in QPSK (2 bit), LP uses remaining 4 bit

    Q

    00

    10

    000010 010101

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    7.Spread spectrum technology

    Problem of radio transmission: frequency dependent fading can wipe out narrow band signals for duration of the interference

    Solution: spread the narrow band signal into a broad band signal using a special code

    protection against narrow band interference

    Side effects:

    coexistence of several signals without dynamic coordination

    tap-proof

    Alternatives: Direct Sequence, Frequency Hopping

    detection at

    receiver

    interference spread

    signal

    signal

    spread

    interference

    f f

    power power

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    detection at receiver

    signal

    spread interference

    f

    interference spread signal

    f

    power power

  • Unit-1 Wireless Transmission 12EC244 Mobile Communications

    Effects of spreading and interference

    user signal

    broadband interference

    narrowband interference

    dP/df

    f

    i)

    dP/df

    f

    ii)

    sender

    dP/df

    f

    iii)

    dP/df

    f

    iv)

    receiver f

    v)

    dP/df

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    Spreading and frequency selective

    fading

    frequency

    channel

    quality

    1 2 3

    4

    5 6

    narrow band

    signal

    guard space

    2 2

    2 2

    2

    frequency

    channel

    quality

    1

    spread

    spectrum

    narrowband channels

    spread spectrum channels

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    DSSS (Direct Sequence Spread

    Spectrum) I XOR of the signal with pseudo-

    random number (chipping sequence)

    many chips per bit (e.g., 128) result in higher bandwidth of the signal

    Advantages reduces frequency selective

    fading

    in cellular networks base stations can use the

    same frequency range

    several base stations can detect and recover the signal

    soft handover Disadvantages

    precise power control necessary

    chipping

    sequence

    user data

    resulting

    signal

    0 1

    0 1 1 0 1 0 1 0 1 0 0 1 1 1

    XOR

    0 1 1 0 0 1 0 1 1 0 1 0 0 1

    =

    tb

    tc

    tb: bit period

    tc: chip period

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    DSSS (Direct Sequence Spread

    Spectrum) II

    X

    user data

    chipping

    sequence

    modulator

    radio

    carrier

    spread

    spectrum

    signal transmit

    signal

    transmitter

    demodulator

    received

    signal

    radio

    carrier

    X

    chipping

    sequence

    lowpass

    filtered

    signal

    receiver

    integrator

    products

    decision

    data

    sampled

    sums

    correlator

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    FHSS (Frequency Hopping Spread

    Spectrum) I Discrete changes of carrier frequency

    sequence of frequency changes determined via pseudo random number sequence

    Two versions Fast Hopping:

    several frequencies per user bit Slow Hopping:

    several user bits per frequency Advantages

    frequency selective fading and interference limited to short period simple implementation uses only small portion of spectrum at any time

    Disadvantages not as robust as DSSS simpler to detect

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    FHSS (Frequency Hopping Spread

    Spectrum) II

    user data

    slow

    hopping

    (3 bits/hop)

    fast

    hopping

    (3 hops/bit)

    0 1

    tb

    0 1 1 t

    f

    f1

    f2

    f3

    t

    td

    f

    f1

    f2

    f3

    t

    td

    tb: bit period td: dwell time

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    FHSS (Frequency Hopping Spread

    Spectrum) III

    modulator

    user data

    hopping

    sequence

    modulator

    narrowband

    signal spread

    transmit

    signal

    transmitter

    received

    signal

    receiver

    demodulator

    data

    frequency

    synthesizer

    hopping

    sequence

    demodulator

    frequency

    synthesizer

    narrowband

    signal

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    8.Cell structure

    Implements space division multiplex: base station covers a certain transmission area (cell)

    Mobile stations communicate only via the base station Advantages of cell structures:

    higher capacity, higher number of users less transmission power needed more robust, decentralized base station deals with interference, transmission area etc. locally

    Problems: fixed network needed for the base stations handover (changing from one cell to another) necessary interference with other cells

    Cell sizes from some 100 m in cities to, e.g., 35 km on the country side (GSM) - even less for higher frequencies

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    Frequency planning I Frequency reuse only with a certain distance between the base stations Standard model using 7 frequencies:

    Fixed frequency assignment: certain frequencies are assigned to a certain cell problem: different traffic load in different cells

    Dynamic frequency assignment: base station chooses frequencies depending on the frequencies already

    used in neighbor cells

    more capacity in cells with more traffic assignment can also be based on interference measurements

    f4 f5

    f1 f3

    f2

    f6

    f7

    f3 f2

    f4 f5

    f1

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    Frequency planning II

    f1 f2

    f3 f2

    f1

    f1

    f2

    f3 f2

    f3 f1

    f2 f1

    f3 f3

    f3 f3

    f3

    f4 f5

    f1 f3

    f2

    f6

    f7

    f3 f2

    f4 f5

    f1 f3

    f5 f6

    f7 f2

    f2

    f1 f1 f1 f2

    f3

    f2

    f3

    f2

    f3 h1

    h2

    h3 g1

    g2

    g3

    h1 h2

    h3 g1

    g2

    g3 g1

    g2

    g3

    3 cell cluster

    7 cell cluster

    3 cell cluster

    with 3 sector antennas

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    Cell breathing

    CDM systems: cell size depends on current load Additional traffic appears as noise to other users If the noise level is too high users drop out of cells

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    Can we apply media access methods from fixed networks?

    Example CSMA/CD

    Carrier Sense Multiple Access with Collision Detection

    send when medium is free, listen to medium if collision occurs (IEEE 802.3)

    Problems in wireless networks

    signal strength decreases with distance

    sender applies CS and CD, but collisions happen at receiver

    sender may not hear collision, i.e., CD does not work

    Hidden terminal: CS might not work

    9.Medium Access

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    Motivation - hidden and exposed

    terminals

    Hidden terminals

    A sends to B, C cannot hear A C wants to send to B, C senses a free medium (CS fails) Collision at B, A cannot receive the collision (CD fails) C is hidden from A Exposed terminals

    B sends to A, C wants to send to another terminal (not A or B) C has to wait, CS signals a medium in use but A is outside radio range of C, waiting is not necessary C is exposed to B

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    Motivation - near and far terminals

    Terminals A and B send, C receives signal strength decreases proportional to the square of the distance

    Bs signal drowns out As signal

    C cannot receive A

    If C was an arbiter, B would drown out A

    Also severe problem for CDMA-networks - precise power control needed!

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    Access methods

    SDMA/FDMA/TDMA SDMA (Space Division Multiple Access)

    segment space into sectors, use directed antennas cell structure

    FDMA (Frequency Division Multiple Access) assign a frequency to a transmission channel permanent (e.g., radio broadcast), slow hopping (e.g., GSM), fast

    hopping (FHSS, Frequency Hopping Spread Spectrum)

    TDMA (Time Division Multiple Access) assign the fixed sending frequency to a transmission channel between a

    sender and a receiver for a certain amount of time

    The multiplexing schemes are now used to control medium access!

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    FDD/FDMA - general scheme

    example GSM f

    t

    124

    1

    124

    1

    20 MHz

    200 kHz

    890.2 MHz

    935.2 MHz

    915 MHz

    960 MHz

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    TDD/TDMA - general scheme

    example DECT

    1 2 3 11 12 1 2 3 11 12

    t downlink uplink

    417 s

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    Aloha/Slotted Aloha Mechanism

    random, distributed (no central arbiter), time-multiplex Slotted Aloha uses time-slots, sending must start at slot boundaries

    ALOHA

    SLOTTED ALOHA

    sender A

    sender B

    sender C

    collision

    sender A

    sender B

    sender C

    collision

    t

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    DAMA - Demand Assigned Multiple

    Access Channel efficiency only 18% for Aloha, 36% for Slotted Aloha

    (assuming Poisson distribution for packet arrival and packet length)

    Reservation can increase efficiency to 80% a sender reserves a future time-slot

    sending within this reserved time-slot is possible without collision

    reservation also causes higher delays

    typical scheme for satellite links

    Examples for reservation algorithms: Explicit Reservation according to Roberts (Reservation-ALOHA)

    Implicit Reservation (PRMA)

    Reservation-TDMA

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    Access method DAMA: Explicit

    Reservation Explicit Reservation (Reservation Aloha):

    two modes: ALOHA mode for reservation: competition for small reservation

    slots, collisions possible

    reserved mode for data transmission in reserved slots (no collisions possible)

    it is important for all stations to keep the reservation list consistent at any point in time and, therefore, all stations have to synchronize from time to time

    Aloha reserved Aloha reserved Aloha reserved Aloha

    collision

    t

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    Access method DAMA: PRMA

    Implicit reservation (PRMA - Packet Reservation MA): a certain number of slots form a frame, frames are repeated stations compete for empty slots using slotted aloha once station reserves a slot successfully, slot is assigned to this station

    in all following frames as long as the station has data to send

    competition for a slot starts again once slot was empty in last frame

    frame1

    frame2

    frame3

    frame4

    1 2 3 4 5 6 7 8 time-slot

    collision at

    reservation

    attempts

    A C D A B A F

    A C A B A

    A B A F

    A B A F D

    A C E E B A F D

    ACDABA-F

    ACDABA-F

    AC-ABAF-

    A---BAFD

    ACEEBAFD

    reservation

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    Access method DAMA: Reservation-

    TDMA Reservation Time Division Multiple Access

    every frame consists of N mini-slots and x data-slots

    every station has its own mini-slot and can reserve up to k data-slots using this mini-slot (i.e. x = N * k).

    other stations can send data in unused data-slots according to a round-robin sending scheme (best-effort traffic)

    N mini-slots N * k data-slots

    reservations

    for data-slots other stations can use free data-slots

    based on a round-robin scheme

    e.g. N=6, k=2

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    MACA - collision avoidance

    MACA (Multiple Access with Collision Avoidance) uses short signaling packets for collision avoidance

    RTS (request to send): a sender uses RTS packet to request right to send before it sends a data packet

    CTS (clear to send): the receiver grants the right to send as soon as it is ready to receive

    Signaling packets contain

    sender address

    receiver address

    packet size

    Variants of this method can be found in IEEE802.11 as DFWMAC (Distributed Foundation Wireless MAC)

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    MACA examples 1. MACA avoids the problem

    of hidden terminals

    A and C want to send to B

    A sends RTS first C waits after receiving

    CTS from B

    2. MACA avoids the problem of exposed terminals

    B wants to send to A, C to another terminal

    now C does not have to wait for it cannot receive CTS from A

    A B C

    RTS

    CTS CTS

    A B C

    RTS

    CTS

    RTS

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    MACA variant: DFWMAC in

    IEEE802.11

    idle

    wait for the

    right to send

    wait for ACK

    sender receiver

    packet ready to send; RTS

    time-out;

    RTS

    CTS; data

    ACK

    RxBusy

    idle

    wait for

    data

    RTS; RxBusy

    RTS;

    CTS

    data;

    ACK

    time-out

    data;

    NAK

    ACK: positive acknowledgement

    NAK: negative acknowledgement

    RxBusy: receiver busy

    time-out

    NAK;

    RTS

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    Polling mechanisms

    If base station can poll other terminals according to a certain scheme

    schemes known from fixed networks can be used

    Example: Randomly Addressed Polling

    base station signals readiness to all mobile terminals

    terminals ready to send transmit random number without collision using CDMA or FDMA

    the base station chooses one address for polling from list of all random numbers (collision if two terminals choose the same address)

    the base station acknowledges correct packets and continues polling the next terminal

    this cycle starts again after polling all terminals of the list

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    D/ISMA (Digital/Inhibit Sense Multiple Access)

    Current state of the medium is signaled via a busy tone the base station signals on the downlink (base station to terminals) if the

    medium is free or not

    terminals must not send if the medium is busy terminals can access the medium as soon as the busy tone stops the base station signals collisions and successful transmissions via the busy

    tone and acknowledgements, respectively (media access is not coordinated within this approach)

    mechanism used, e.g., for CDPD (USA, integrated into AMPS)

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    Access method CDMA CDMA (Code Division Multiple Access)

    all terminals send on same frequency at the same time using ALL the bandwidth of transmission channel

    each sender has a unique random number, sender XORs the signal with this random number

    the receiver can tune into this signal if it knows the pseudo random number

    Disadvantages: higher complexity of a receiver (receiver cannot just listen into the

    medium and start receiving if there is a signal)

    all signals should have the same strength at a receiver Advantages:

    all terminals can use the same frequency, no planning needed huge code space (e.g. 232) compared to frequency space interference (e.g. white noise) is not coded forward error correction and encryption can be easily integrated

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    CDMA in theory

    Sender A sends Ad = 1, key Ak = 010011 (assign: 0= -1, 1= +1) sending signal As = Ad * Ak = (-1, +1, -1, -1, +1, +1)

    Sender B sends Bd = 0, key Bk = 110101 (assign: 0= -1, 1= +1) sending signal Bs = Bd * Bk = (-1, -1, +1, -1, +1, -1)

    Both signals superimpose in space interference neglected (noise etc.) As + Bs = (-2, 0, 0, -2, +2, 0)

    Receiver wants to receive signal from sender A apply key Ak bitwise (inner product)

    Ae = (-2, 0, 0, -2, +2, 0) Ak = 2 + 0 + 0 + 2 + 2 + 0 = 6 result greater than 0, therefore, original bit was 1

    receiving B Be = (-2, 0, 0, -2, +2, 0) Bk = -2 + 0 + 0 - 2 - 2 + 0 = -6, i.e. 0

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    CDMA on signal level I

    Real systems use much longer keys resulting in a larger distance

    between single code words in code space.

    data A

    key A

    signal A

    data key

    key

    sequence A

    1 0 1

    1 0 0 1 0 0 1 0 0 0 1 0 1 1 0 0 1 1

    0 1 1 0 1 1 1 0 0 0 1 0 0 0 1 1 0 0

    Ad

    Ak

    As

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    CDMA on signal level II

    signal A

    data B

    key B

    key

    sequence B

    signal B

    As + Bs

    data key

    1 0 0

    0 0 0 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1

    1 1 1 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1

    Bd

    Bk

    Bs

    As

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    CDMA on signal level III

    Ak

    (As + Bs)

    * Ak

    integrator

    output

    comparator

    output

    As + Bs

    data A

    1 0 1

    1 0 1 Ad

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    CDMA on signal level IV

    integrator

    output

    comparator

    output

    Bk

    (As + Bs)

    * Bk

    As + Bs

    data B

    1 0 0

    1 0 0 Bd

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    comparator

    output

    CDMA on signal level V

    wrong

    key K

    integrator

    output

    (As + Bs)

    * K

    As + Bs

    (0) (0) ?

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    Aloha has only a very low efficiency, CDMA needs complex receivers to be able to receive different senders with individual codes at the same time

    Idea: use spread spectrum with only one single code (chipping sequence) for spreading for all senders accessing according to aloha

    SAMA - Spread Aloha Multiple Access

    send for a

    shorter period

    with higher power

    1 sender A 0 sender B

    0

    1

    t

    narrow

    band

    spread the signal e.g. using the chipping sequence 110101 (CDMA without CD)

    Problem: find a chipping sequence with good characteristics

    1

    1

    collision

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    Comparison

    SDMA/TDMA/FDMA/CDMA Approach SDMA TDMA FDMA CDMA

    Idea segment space intocells/sectors

    segment sendingtime into disjointtime-slots, demanddriven or fixedpatterns

    segment thefrequency band intodisjoint sub-bands

    spread the spectrumusing orthogonal codes

    Terminals only one terminal canbe active in onecell/one sector

    all terminals areactive for shortperiods of time onthe same frequency

    every terminal has itsown frequency,uninterrupted

    all terminals can be activeat the same place at thesame moment,uninterrupted

    Signalseparation

    cell structure, directedantennas

    synchronization inthe time domain

    filtering in thefrequency domain

    code plus specialreceivers

    Advantages very simple, increasescapacity per km

    established, fullydigital, flexible

    simple, established,robust

    flexible, less frequencyplanning needed, softhandover

    Dis-advantages

    inflexible, antennastypically fixed

    guard spaceneeded (multipathpropagation),synchronizationdifficult

    inflexible,frequencies are ascarce resource

    complex receivers, needsmore complicated powercontrol for senders

    Comment only in combinationwith TDMA, FDMA orCDMA useful

    standard in fixednetworks, togetherwith FDMA/SDMAused in manymobile networks

    typically combinedwith TDMA(frequency hoppingpatterns) and SDMA(frequency reuse)

    still faces some problems,higher complexity,lowered expectations; willbe integrated withTDMA/FDMA

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    References

    Chapter # 2 and Chapter # 3 from Mobile Communications, Second Edition, By Prof. Dr. Jochen H. Schiller.

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