suhas mathur, winlab, rutgers university summer internship

66
Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10 th October 2006 System Design Issues in building a Cognitive Radio Network: IEEE 802.22 Detection of DTV signals at very low SNR using PN sequences Joint work with Steve Shellhammer (Qualcomm) & Rahul Tandra (U.C. Berkeley) “What I did in my summer internship”

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Page 1: Suhas Mathur, WINLAB, Rutgers University Summer internship

Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

System Design Issues in building a

Cognitive Radio Network: IEEE 802.22

Detection of DTV signals at very low SNR using PN sequences

Joint work with Steve Shellhammer (Qualcomm) & Rahul Tandra (U.C. Berkeley)

“What I did in my summer internship”

Page 2: Suhas Mathur, WINLAB, Rutgers University Summer internship

Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

•Apparent scarcity of spectrum•Spectrum use model flawed – allocated but not utilized•J. Mitola coins ‘cognitive radio’ -Ph.D. thesis (May 2000)

•FFC issues NPRM for TV bands (May 2004)

•802.22 is born (Sept 2004)

•How to protect the ‘incumbent’ ?•May 2006: v0.1 of the 802.22 Draft is shipped•Sept. 2006: FCC Docket: Retail by Feb 2009.•Sensing specs. still not met, broadcasters dissatisfied•Unlicensed economic model still attractive

–3G auction: $17 Bn , $34 Bn , $46 Bn

A brief history of Cognitive Radio and IEEE 802.22

Page 3: Suhas Mathur, WINLAB, Rutgers University Summer internship

3Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

802.22 deployment scenario

802.22: Fixed wireless broadband access network operating in TV bands (Channel 2 -51)

Cellular system, central BS, CPEs (Consumer Premise Equipment)

Targeted at but not limited to rural deployment

Strict requirements on protections of existing licensed services

Page 4: Suhas Mathur, WINLAB, Rutgers University Summer internship

4Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Incumbent protection numerology

Parameter TV broadcasting

Part 74 devices

Channel detection time < 2 sec < 2sec

Incumbent detection threshold

-116 dBm -107dBm

Required prob(detection) 90% 90%

Max. False alarm allowed 10% 10%

Page 5: Suhas Mathur, WINLAB, Rutgers University Summer internship

5Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Why do we need to detect at such low SNR?

Page 6: Suhas Mathur, WINLAB, Rutgers University Summer internship

6Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Why do we need to detect at such low SNR?

Shadow faded CPE

Page 7: Suhas Mathur, WINLAB, Rutgers University Summer internship

7Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Why do we need to detect at such low SNR?

Shadow faded CPE

INTERFERENCE

Page 8: Suhas Mathur, WINLAB, Rutgers University Summer internship

8Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

‘Hidden incumbent’ problem• An in-band Incumbent

appears at a location where BS cannot sense it but CPE can.

• CPE wishes to inform BS about incumbent but may loose sync to BS due to interference from incumbent

• BS continues to transmit on the channel occupied by incumbent, causing interference to it.

Page 9: Suhas Mathur, WINLAB, Rutgers University Summer internship

9Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

‘Hidden cell’ problem

Page 10: Suhas Mathur, WINLAB, Rutgers University Summer internship

10Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Sharing licensed spectrum

Vertical sharing

Horizontal sharing

Page 11: Suhas Mathur, WINLAB, Rutgers University Summer internship

11Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Horizontal spectrum sharing• An unlicensed user must

adhere to FCC guidelines for protection of incumbents.

• But other unlicensed systems on the TV bands do not enjoy the same protection.

• This means a Cognitive Radio must not only detect, but also classify signals.

• Simple narrowband power detection [Tandra & Sahai] does not achieve this objective

Page 12: Suhas Mathur, WINLAB, Rutgers University Summer internship

Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Part II

Detection of DTV signals at very low SNR using PN sequences

Page 13: Suhas Mathur, WINLAB, Rutgers University Summer internship

13Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Outline of Part II

• The ATSC standard and PN sequences• Optimal & approximate detectors• Problem with detector a proposed detector• Our detection algorithms• Effects of multipath fading on PN

correlation• Fundamental limits in PN seq. detection• Sensitivity to pilot estimate• A comparison of PN and pilot detection• Pilot spectral line detection

Page 14: Suhas Mathur, WINLAB, Rutgers University Summer internship

14Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

ATSC DTV numerology

• Symbol rate: 10.76 Msymbols/sec

• Data Segment SYNC: A ‘1001’ pattern at the beginning of each segment

• Data Field SYNC: An entire segment containing PN sequences: PN511 + PN63 + PN63 + PN63

Page 15: Suhas Mathur, WINLAB, Rutgers University Summer internship

15Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

ATSC framing structure

A single VSB Data Segment

The Data Field SYNC

Page 16: Suhas Mathur, WINLAB, Rutgers University Summer internship

16Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Typical ATSC DTV spectrumPilot tone

6 Mhz = 1 DTV channel

f_IF = 5.38 Mhz

VSB spectrum at IF

Nyquist Rolloff = 0.1152

Page 17: Suhas Mathur, WINLAB, Rutgers University Summer internship

17Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Simulation Methodology

DTV signal captures

(50 DTV signals captured at high SNR,

provided to us by MSTV Corp.)

+X

Scale

Gaussian Noise

Pull out reqd. # of samples Detection

algorithm

Threshold calibration

Signal at desired SNR

Multipath fading, noise

Test locations in NY, Washington

Page 18: Suhas Mathur, WINLAB, Rutgers University Summer internship

18Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

The optimal PN seq. detector

• Assumption: exactly 1 PN sequence present

• Generalized Likelihood Ratio Test (GLRT) in favor of H1 iff:

• is the MLE given by:

• GLRT is:

Page 19: Suhas Mathur, WINLAB, Rutgers University Summer internship

19Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Approximate detector• Neglect the signal in alternate hypothesis (low

SNR)

• is the MLE given by

• GLRT is:

• Threshold can be found easily by using:

simply correlate and compare max

value with

Page 20: Suhas Mathur, WINLAB, Rutgers University Summer internship

20Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

A detector proposed by France Telecom

• Correlate the received signal, r(n), with the known PN sequence

1

0

)()(N

nkn nxrkp

• Use a simple low pass filter to estimate the mean and the variance of the correlator output

• An ATSC DTV is declared detected when

2))()()(1()1()(

)()1()1()(

kpkkk

kpkk

)'()'( 2 kck

( and c are constants set by the BS)

Page 21: Suhas Mathur, WINLAB, Rutgers University Summer internship

21Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

The Problem with this Detector

• The estimate of the mean approach zero even for noise only input

• This implies that the test statistic can approach zero even for a noise only input signal

• This results in false alarms. The detector threshold ‘c’ cannot be calibrated for a given false alarm probability pFA.

2( ) ( ) / ( )T k k k

( ) [ ( )] ( ) ( ) 0k E p k E r n k x n

Page 22: Suhas Mathur, WINLAB, Rutgers University Summer internship

22Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Test statistic with noise-only input

Output of the correlator when only filtered receiver

noise is fed as input.

Ratio shows false peaks because mean goes very close to

zero.

)(/)( 2 kk

Correlator output Detector output

Page 23: Suhas Mathur, WINLAB, Rutgers University Summer internship

23Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Detector operation with DTV signal + Noise (SNR = 0 dB)

Output of the correlator over duration of 1 ATSC field when DTV signal + noise is fed as input. The

peak indicated the position of the PN sequence.

Ratio again shows false peaks because mean goes very close to zero

)(/)( 2 kk

Correlator output Detector output

Page 24: Suhas Mathur, WINLAB, Rutgers University Summer internship

24Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

A simple ‘fix’

• Take absolute value of the correlator output before feeding as input to the detector.

• Mean cannot go arbitrarily close to zero

• The ratio is random for noise input.

)()1()1()( kpkk

1

0

)()(N

nkn nxrkp

)(/)( 2 kk

Page 25: Suhas Mathur, WINLAB, Rutgers University Summer internship

25Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Modified Detector with noise input

Absolute value of the correlator output when only filtered receiver

noise is fed as input.

Ratio is random)(/)( 2 kk

Correlator output Detector output

Page 26: Suhas Mathur, WINLAB, Rutgers University Summer internship

26Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Modified detector with DTV Signal + Noise (SNR = 0 dB)

Absolute value of correlator output over duration of 1 ATSC field when DTV signal

+ noise is fed as input. The peak indicated the position of the PN

sequence.

Ratio shows peak at location of PN sequence

)(/)( 2 kk

Correlator output Detector output

Page 27: Suhas Mathur, WINLAB, Rutgers University Summer internship

27Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

A simple test statistic• Correlate received signal with the following

sequence:

[PN511 + PN63 + 63 zeros + PN63]

• Find the tallest peak in the correlator output• Compare its magnitude with threshold

Page 28: Suhas Mathur, WINLAB, Rutgers University Summer internship

28Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Performance of a simple correlator

Page 29: Suhas Mathur, WINLAB, Rutgers University Summer internship

29Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

The effect of multipath

Phase reversal

48.4 ms

Page 30: Suhas Mathur, WINLAB, Rutgers University Summer internship

30Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

The effect of multipath

Multiple peaks

6 s

~ 2km dominant echo

Page 31: Suhas Mathur, WINLAB, Rutgers University Summer internship

31Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

The effect of multipath

Multiple peaks

6 s

Can we utilize multipath in a positive way ?

(Lessons from CDMA ?)

~ 2km dominant echo

Page 32: Suhas Mathur, WINLAB, Rutgers University Summer internship

32Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Fundamental limits in PN detection

• Using a larger received signal for detection does not always improve performance.

multipath fading

noise enhancement

Multipath, jitter and small variations in clock frequency cause timing offsets resulting in misaligned peaks by +/-1,2 samples

Page 33: Suhas Mathur, WINLAB, Rutgers University Summer internship

33Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Using the Data Segment SYNC• The DATA Segment SNYC is a 1001 pattern• Very non unique but much more frequent (every 77.3 s=1 seg.)

• Present in noise and data quite often, but can we use its periodicity?

• A long sequence of the following form can be used for correlation:

[1001 (828 zeros) 1001 (828 zeros) … N times ]

Page 34: Suhas Mathur, WINLAB, Rutgers University Summer internship

34Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Performance of ‘1001 correlator’

Page 35: Suhas Mathur, WINLAB, Rutgers University Summer internship

35Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Aligning peak polarities helps! (sometimes)

Page 36: Suhas Mathur, WINLAB, Rutgers University Summer internship

36Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

The issue of Multiple antennas

• The height and polarity of a PN correlation peak depends on the instantaneous fade.

• Two or more independent fades would provide different correlation peaks.

• If multiple antennas can provide statistically independent fading, they can help.

• A simple system would be to run 2 parallel PN detectors and OR their decisions. i.e.

Miss detection = (Miss detection 1) AND (Miss detection 2)

PN sequence detection

• Power detector is affected by shadowing

• Therefore multiple sensors located in INDEPENDENT shadow fades would help

• Existence of such independent CPEs not guaranteed (incumbents not happy with the idea)

• Multiple antenna on a single CPE do not help (same shadow fade)

Power detection

Page 37: Suhas Mathur, WINLAB, Rutgers University Summer internship

37Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Multiple antennas

• Running 2 parallel detectors

• Assumption: Fading processes at two antennas are statistically independent

• We use fields from widely time-separated part of a DTV signal capture to satisfy independent fade assumption

• At 600 Mhz, /2 = 25 cm. A practical antenna array can be built.

Page 38: Suhas Mathur, WINLAB, Rutgers University Summer internship

38Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

The effect of pilot estimation error

• The pilot frequency is used in downconverting a passband signal to recover the baseband transmit signal.

• How sensitive is PN detection to the estimate of the pilot frequency?

• We attempt to measure the effect of pilot estimation error on a PN correlation peak

Page 39: Suhas Mathur, WINLAB, Rutgers University Summer internship

39Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

The effect of pilot estimation error

Page 40: Suhas Mathur, WINLAB, Rutgers University Summer internship

40Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

The effect of pilot estimation error

• At low enough SNR even 0.2% error in pilot frequency estimate can be disastrous for PN correlation

• Pilot estimation needs to be accurate

• Why not use the pilot line as a means for DTV signal detection?

Page 41: Suhas Mathur, WINLAB, Rutgers University Summer internship

Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Part III

Spectral line detection of a DTV pilot[Extension of ‘Narrowband pilot energy detection’ done by

Rahul Tandra]

Page 42: Suhas Mathur, WINLAB, Rutgers University Summer internship

42Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Power spectrum of a DTV signal at -22 dB

Page 43: Suhas Mathur, WINLAB, Rutgers University Summer internship

43Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Performance of pilot spectral line detection

• Signal shows a strong pilot• Detector performance is

very good even at -25 dB !

strong pilot

Pilot energy detection

[Tandra]

Page 44: Suhas Mathur, WINLAB, Rutgers University Summer internship

44Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Performance of pilot spectral line detection

• Signal shows a moderately strong pilot

• Detector begins to fail at -21dB

Moderate pilot

Page 45: Suhas Mathur, WINLAB, Rutgers University Summer internship

45Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Performance of pilot spectral line detection

• Pilot is almost completely absent from signal

• Detector begins to fail at -16 dB

Very weak pilot

Page 46: Suhas Mathur, WINLAB, Rutgers University Summer internship

46Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Good, moderate and bad pilots

Page 47: Suhas Mathur, WINLAB, Rutgers University Summer internship

47Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Doubling the listening time

Very weak Pilot

Page 48: Suhas Mathur, WINLAB, Rutgers University Summer internship

48Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Doubling the listening time

Moderate Pilot

Page 49: Suhas Mathur, WINLAB, Rutgers University Summer internship

49Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Some gains from listening longer

Page 50: Suhas Mathur, WINLAB, Rutgers University Summer internship

50Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Noise Uncertainty

• For signals with weak pilots, uncertainty in the noise power estimate can drastically change performance.

• We assume = +/- 1 dB.

• How does performance change?

Page 51: Suhas Mathur, WINLAB, Rutgers University Summer internship

51Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Noise Uncertainty

• Signal shows a strong pilot• Detector performance worse

by approx 2.5 dB. • Detector begins to fail at -24

dB

strong pilot

Page 52: Suhas Mathur, WINLAB, Rutgers University Summer internship

52Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Noise Uncertainty

• Signal shows a moderately strong pilot

• Worse by ~2 dB• Detector begins to fail at -17

dB

Moderate pilot

Page 53: Suhas Mathur, WINLAB, Rutgers University Summer internship

53Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Noise Uncertainty

• Pilot is almost completely absent from signal

• Worse by ~2 dB• Detector begins to fail at -12

dB

Very weak pilot

Page 54: Suhas Mathur, WINLAB, Rutgers University Summer internship

54Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Noise Uncertainty

• Pilot is almost completely absent from signal

• Worse by ~2 dB• Detector begins to fail at -12 dB• If we listen for double the time

detector begins to fail at -14 dB

Very weak pilot

Page 55: Suhas Mathur, WINLAB, Rutgers University Summer internship

55Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

A comparison of PN detection and pilot energy detection

PN Sequence Pilot Energy Detection

Occurs once in 24.2 ms Always present in time

Frequency content over entire DTV spectrum

Present at a specific frequency (14 known pilot freq. location)

Power in PN sequence is 1/313rd of the total energy in signal (25 dB below)

Power in pilot is 11 dB below avg signal power.

Need to sense for longer to average out noise

Need to sense for shorter duration.

Cannot improve performance by sensing for infinitely long duration.

Noise uncertainty results in an SNR wall effect below which signal cannot be sensed.

Requires knowledge of pilot frequency Does not require knowledge of PN seq.

Achieves signal classification. Does not achieve signal classification

Page 56: Suhas Mathur, WINLAB, Rutgers University Summer internship

56Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Proposed dual mode DTV detector

• Pilot detection detects pilot and triggers PN detection for signal classification (confirms DTV)

• Multiple antennas (help both pilot and PN)• Detection quiet periods are kept small.

Page 57: Suhas Mathur, WINLAB, Rutgers University Summer internship

57Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Conclusions and future directions

• PN Correlation detector performance limited by multipath fading, noise and jitter.

• Difficult to accurately estimate multipath at low SNR.

• Multiple antennas on a single detector can help (statistically independent fading processes)

• Pilot spectral line detection is promising but does not classify signal as DTV.

• A ‘dual mode’ detector utilizing – Pilot spectral line detection for detection and – PN correlation (with multiple antennas) for classification.

can achieve quick and reliable DTV incumbent protection

Page 58: Suhas Mathur, WINLAB, Rutgers University Summer internship

58Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

The internship experience

• Worked in the standards division of Corporate R&D

• Some exposure to systems, IEEE standards procedures (tedious).

• Focus on practical feasibility. • Economic & political side of technology.• Overall – a satisfying, busy 3 months (no time to work on WINLAB research

simultaneously )

Page 59: Suhas Mathur, WINLAB, Rutgers University Summer internship

Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Thank you

Page 60: Suhas Mathur, WINLAB, Rutgers University Summer internship

Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Backup slides

Page 61: Suhas Mathur, WINLAB, Rutgers University Summer internship

61Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Incumbent protection numerology

Required prob(detection) = 90 % False alarm allowed = 10%

Page 62: Suhas Mathur, WINLAB, Rutgers University Summer internship

62Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Hidden wireless microphones

• An example of hidden incumbents

• Microphones are low power devices and can appear and disappear on a finer time scale.

• Wireless microphones are likely candidates for hidden incumbents.

• Propagation curves show that it Is virtually impossible for a BS to detect a microphone at the edge of a WRAN cell.

Distance from wireless mic (km)

Rec

eive

d po

wer

(dB

m)

Page 63: Suhas Mathur, WINLAB, Rutgers University Summer internship

63Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

The effect of pilot estimation error

Page 64: Suhas Mathur, WINLAB, Rutgers University Summer internship

64Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

The effect of pilot estimation error

Page 65: Suhas Mathur, WINLAB, Rutgers University Summer internship

65Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Do multiple antennas help?

• The height and polarity of a PN correlation peak depends on the instantaneous fade.

• Two or more independent fade would provide different correlation peaks.

• If multiple antennas can provide statistically independent fading, they can help.

• A simple (suboptimal) system would be to run 2 parallel PN detectors and OR their decisions. Therefore:

Miss detection = (Miss detection 1) AND (Miss detection 2)

Page 66: Suhas Mathur, WINLAB, Rutgers University Summer internship

66Suhas Mathur, WINLAB, Rutgers University Summer internship @ Qualcomm 10th October 2006

Multipath Fading

Source: Gorka Guerra, Pablo Angueira, Manuel M. Vélez, David Guerra, Gorka Prieto, Juan Luis Ordiales, and Amaia Arrinda ‘Field Measurement Based Characterization of the Wideband Urban Multipath Channel for Portable DTV Reception in Single Frequency Networks’ IEEE TRANSACTIONS ON BROADCASTING, VOL. 51, NO. 2, JUNE 2005 171