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Cover image for Modulation, detection and coding
Title:
Modulation, detection and coding
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Publication Information:
New York; John Wiley & Sons, 2001
ISBN:
9780471497660

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30000004791483 TK7872.M6 O26 2001 Open Access Book Book
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Summary

Summary

Telecommunications constitute an increasingly important part ofhuman society. In some ways, they are a foundation on whichindustrial countries rely. Telecommunications play in numerousareas including, banking, air traffic control, medicine, digitaland voice communications. More and more people need to understandthe foundations of modern telecommunications.

The purpose of this book is to give an introduction to coding andmodulation methods as well as other signal processing within moderntelecom-munica-tions, using basic starting points. The principaltopics are source coding, channel coding, modulation and detection.Adaptive channel equalisers and adaptive antennas, which areimportant parts of the detection process in many systems, are alsocovered and there are sections about link budget, sychronisation,together with codes and detectors for CDMA. The aim is to give thereader an understanding of the basic functions in telecommunicationsystems and the methods that are used for the analysis of acomplete system.

Telecommunications is a field which develops quickly. Anunderstanding of analysing methods which goes beyond simply anunderstanding of the results of the analysis is valuable knowledge- knowledge that will remain relevant over time and which will aidin understanding new developments as they arise.

This text contains theory, fully solved examples, exercises withanswers and a short presentation of some communication systems.Basic knowledge in signal processing and probability theory is anecessity to acquire the material. The book is intended for courseson at least the master level but can also be used for self study.


Author Notes

Tommy Öberg is Associate Professor at the Signals and SystemsGroup, Uppsala University. He has a many years of experience as ateacher and researcher within the university and has been involvedin a number of development projects in industry.


Table of Contents

Prefacep. xi
1 Telecommunicationsp. 1
1.1 Usage todayp. 1
1.2 Historyp. 1
1.3 Basic elementsp. 5
1.3.1 Transmitter sidep. 6
1.3.2 The channelp. 6
1.3.3 Receiver sidep. 6
1.3.4 Another system for communicationp. 7
1.3.5 The scope of the bookp. 7
1.4 Multiple user systemsp. 8
1.4.1 Methods for multiple accessp. 8
1.4.2 Continued analysisp. 15
1.5 Appendix: the division and usage of the electomagnetic spectrump. 15
2 Link Budgetp. 19
2.1 Signal to noise ratiop. 19
2.1.1 Calculation of the signal powerp. 20
2.1.2 Calculation of noisep. 24
2.1.3 SNR in digital transmissionp. 30
3 Information Theory and Source Codingp. 37
3.1 The concept of informationp. 38
3.1.1 Discrete sourcep. 40
3.1.2 Continuous sourcep. 41
3.2 Channelp. 43
3.2.1 Mutual informationp. 44
3.2.2 Channel modelsp. 46
3.2.3 Calculation of channel capacityp. 48
3.3 Source codingp. 55
3.3.1 Data compressionp. 56
3.3.2 Speech codingp. 70
3.4 Appendixp. 76
3.4.1 Example of image coding, MPEGp. 76
4 Channel Codingp. 81
4.1 Error detection and error correctionp. 81
4.1.1 Fundamental concepts in block codingp. 83
4.1.2 Performance of block codesp. 86
4.2 Automatic repeat requestp. 95
4.2.1 Function of ARQ systemsp. 95
4.2.2 Performance of ARQ systemsp. 97
4.3 Block codesp. 100
4.3.1 Galois fieldsp. 100
4.3.2 Linear block codesp. 102
4.3.3 Cyclic codesp. 111
4.3.4 Non-binary block codesp. 123
4.3.5 Modifying block codesp. 126
4.4 Convolutional codesp. 129
4.4.1 Description of convolutional codesp. 129
4.4.2 Performance of convolutional codesp. 135
4.4.3 Decoding of convolutional codesp. 141
4.5 Interleavingp. 155
4.6 Turbo codingp. 157
4.6.1 Codingp. 158
4.6.2 Decodingp. 159
4.7 Cryptographyp. 170
4.7.1 The RSA algorithmp. 174
4.8 Appendixp. 177
4.8.1 Examples on application of error correcting codingp. 181
5 Modulationp. 185
5.1 Baseband modulationp. 186
5.1.1 Precodingp. 187
5.1.2 Pulse shapes for lowpass channelsp. 188
5.2 Calculation methods for bandpass systems and signalsp. 192
5.3 Analogue carrier modulationp. 202
5.3.1 Analogue amplitude modulationp. 203
5.3.2 Analogue phase and frequency modulationp. 215
5.4 Digital carrier modulationp. 222
5.4.1 Digital amplitude modulationp. 223
5.4.2 Digital phase and frequency modulationp. 225
5.4.3 Non-linear methods with memoryp. 227
5.4.4 Spectrum in digital modulationp. 237
5.4.5 Combined modulation and error correction codingp. 251
5.4.6 Transmission using multiple carriersp. 258
5.5 Appendixp. 260
5.5.1 Various frequency pulsesp. 260
5.5.2 Computing spectra for signals with large state diagramsp. 261
6 Detection in Noisep. 265
6.1 Fundamentals of narrowband noisep. 266
6.2 Analogue systemsp. 269
6.2.1 Influence of noise at amplitude modulationp. 269
6.2.2 Noise in angle modulationp. 274
6.3 Digital systemsp. 280
6.3.1 Optimal receiverp. 281
6.3.2 Signal spacep. 289
6.3.3 Calculation of bit error ratep. 297
6.3.4 Calculation of error rate for a complicated decision spacep. 313
6.3.5 Non-coherent receiversp. 316
6.3.6 Comparison of some types of modulationp. 326
6.4 Diversityp. 337
6.4.1 Methods of combinationp. 338
6.4.2 Bit error ratep. 339
6.5 The radio receiverp. 340
6.6 Appendixp. 343
6.6.1 Error probabilities for some cases of modulationp. 343
6.6.2 The Q-functionp. 343
6.6.3 Some important density functions in communicationp. 345
6.6.4 Normp. 345
7 Adaptive Channel Equalisersp. 351
7.1 Channel equaliserp. 352
7.1.1 Zero forcing equaliserp. 353
7.1.2 Equalisers based on minimum mean square errorp. 354
7.2 Algorithms for adaptationp. 358
7.2.1 The LMS algorithmp. 361
7.2.2 The recursive least squares algorithmp. 370
7.3 Appendixp. 374
7.3.1 Systolic arrayp. 374
8 Adaptive Antennasp. 377
8.1 Array antennasp. 377
8.1.1 Antennas with steerable main beamp. 378
8.1.2 Vector description of the output signal of array antennasp. 382
8.1.3 Multilobe antennasp. 384
8.2 Signal processing with array antennasp. 388
8.2.1 The reference signal methodp. 388
8.2.2 The linear constraint minimum variance methodp. 389
8.2.3 Musicp. 392
8.3 Spatio-temporal equalisersp. 396
8.3.1 The transmission channelp. 396
8.3.2 ST-MLSEp. 399
8.3.3 ST-MMSEp. 402
8.3.4 Estimation of channel parametersp. 404
9 CDMA: Codes and Detectorsp. 407
9.1 Spreading codesp. 408
9.1.1 Walsh codesp. 409
9.1.2 m-Sequencesp. 411
9.1.3 Gold sequencesp. 415
9.1.4 Kasami sequencesp. 416
9.2 Detectors for CDMAp. 416
9.2.1 Linear detectorsp. 418
9.2.2 Interference cancellationp. 422
9.3 Appendix: generator polynomials for m-sequencesp. 424
10 Synchronisationp. 425
10.1 Introductionp. 425
10.2 Fundamentals of phase locked loopsp. 426
10.2.1 Analysis of an analogue phase-locked loopp. 426
10.2.2 Digital phase locked loopp. 432
10.3 Carrier synchronisationp. 434
10.3.1 Squaring loopp. 435
10.3.2 Costas loopp. 436
10.4 Clock synchronisationp. 437
10.5 Frame synchronisationp. 438
10.5.1 Synchronisation probabilityp. 438
10.5.2 Synchronisation codesp. 440
10.5.3 Locking strategiesp. 441
Appendix Ap. 443
A.1 Review of mobile telephone systemsp. 443
A.1.1 Second generation systemsp. 444
A.1.2 Third generation systemsp. 445
A.1.3 Roamingp. 445
A.2 Review of sysems for cordless telephonesp. 447
A.3 Review of television systemsp. 448
A.4 Digital Televisionp. 449
A.4.1 Source codingp. 449
A.4.2 Modulationp. 450
A.4.3 Channel codingp. 451
A.5 FM broadcasting and RDSp. 453
A.6 Digital audio broadcastingp. 455
A.6.1 Source codingp. 455
A.6.2 Channel codingp. 456
A.6.3 Modulationp. 456
Answers to exercisesp. 457
Indexp. 463
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