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Digital communication over fading channels Book

Digital communication over fading channels
Digital communication over fading channels, A unified presentation, broad coverage, single-volume convenience.
This timesaving reference provides a unified approach to the performance analysis of digital communication systems over generalized fading channels. Employing alternative forms of such , Digital communication over fading channels has a rating of 4 stars
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Digital communication over fading channels, A unified presentation, broad coverage, single-volume convenience. This timesaving reference provides a unified approach to the performance analysis of digital communication systems over generalized fading channels. Employing alternative forms of such , Digital communication over fading channels
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  • Digital communication over fading channels
  • Written by author Marvin K. Simon,Mohamed-Slim Alouini
  • Published by New York ; John Wiley & Sons, c2000., 2000/09/05
  • A unified presentation, broad coverage, single-volume convenience. This timesaving reference provides a unified approach to the performance analysis of digital communication systems over generalized fading channels. Employing alternative forms of such
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Preface XV
Part 1 Fundamentals
Chapter 1 Introduction 3
1.1 System Performance Measures 4
1.1.1 Average Signal-to-Noise Ratio 4
1.1.2 Outage Probability 5
1.1.3 Average Bit Error Probability 6
1.2 Conclusions 12
References 13
Chapter 2 Fading Channel Characterization and Modeling 15
2.1 Main Characteristics of Fading Channels 15
2.1.1 Envelope and Phase Fluctuations 15
2.1.2 Slow and Fast Fading 16
2.1.3 Frequency-Flat and Frequency-Selective Fading 16
2.2 Modeling of Flat Fading Channels 17
2.2.1 Multipath Fading 18
2.2.2 Log-Normal Shadowing 23
2.2.3 Composite Multipath/Shadowing 24
2.2.4 Combined (Time-Shared) Shadowed/Unshadowed Fading 25
2.3 Modeling of Frequency-Selective Fading Channels 26
References 28
Chapter 3 Types of Communication 31
3.1 Ideal Coherent Detection 31
3.1.1 Multiple Amplitude-Shift-Keying or Multiple Amplitude Modulation 33
3.1.2 Quadrature Amplitude-Shift-Keying or Quadrature Amplitude Modulation 34
3.1.3 M-ary Phase-Shift-Keying 35
3.1.4 Differentially Encoded M-ary Phase-Shift-Keying 39
3.1.5 Offset QPSK or Staggered QPSK 41
3.1.6 M-ary Frequency-Shift-Keying 43
3.1.7 Minimum-Shift-Keying 45
3.2 Nonideal Coherent Detection 47
3.3 Noncoherent Detection 53
3.4 Partially Coherent Detection 55
3.4.1 Conventional Detection: One-Symbol Observation 55
3.4.2 Multiple Symbol Detection 57
3.5 Differentially Coherent Detection 59
3.5.1 M-ary Differential Phase Shift Keying 59
3.5.2 [pi]/4-Differential QPSK 65
References 65
Part 2 Mathematical Tools
Chapter 4 Alternative Representations of Classical Functions 69
4.1 Gaussian Q-Function 70
4.1.1 One-Dimensional Case 70
4.1.2 Two-Dimensional Case 72
4.2 Marcum Q-Function 74
4.2.1 First-Order Marcum Q-Function 74
4.2.2 Generalized (mth-Order) Marcum Q-Function 81
4.3 Other Functions 90
References 94
Appendix 4A Derivation of Eq. (4.2) 95
Chapter 5 Useful Expressions for Evaluating Average Error Probability Performance 99
5.1 Integrals Involving the Gaussian Q-Function 99
5.1.1 Rayleigh Fading Channel 101
5.1.2 Nakagami-q (Hoyt) Fading Channel 101
5.1.3 Nakagami-n (Rice) Fading Channel 102
5.1.4 Nakagami-m Fading Channel 102
5.1.5 Log-Normal Shadowing Channel 104
5.1.6 Composite Log-Normal Shadowing/Nakagami-m Fading Channel 104
5.2 Integrals Involving the Marcum Q-Function 107
5.2.1 Rayleigh Fading Channel 108
5.2.2 Nakagami-q (Hoyt) Fading Channel 109
5.2.3 Nakagami-n (Rice) Fading Channel 109
5.2.4 Nakagami-m Fading Channel 109
5.2.5 Log-Normal Shadowing Channel 109
5.2.6 Composite Log-Normal Shadowing/Nakagami-m Fading Channel 110
5.3 Integrals Involving the Incomplete Gamma Function 111
5.3.1 Rayleigh Fading Channel 112
5.3.2 Nakagami-q (Hoyt) Fading Channel 112
5.3.3 Nakagami-n (Rice) Fading Channel 112
5.3.4 Nakagami-m Fading Channel 113
5.3.5 Log-Normal Shadowing Channel 114
5.3.6 Composite Log-Normal Shadowing/Nakagami-m Fading Channel 114
5.4 Integrals Involving Other Functions 114
5.4.1 M-PSK Error Probability Integral 114
5.4.2 Arbitrary Two-Dimensional Signal Constellation Error Probability Integral 116
5.4.3 Integer Powers of the Gaussian Q-Function 117
5.4.4 Integer Powers of M-PSK Error Probability Integrals 121
References 124
Appendix 5A Evaluation of Definite Integrals Associated with Rayleigh and Nakagami-m Fading 124
Chapter 6 New Representations of Some PDF's and CDF's for Correlative Fading Applications 141
6.1 Bivariate Rayleigh PDF and CDF 142
6.2 PDF and CDF for Maximum of Two Rayleigh Random Variables 146
6.3 PDF and CDF for Maximum of Two Nakagami-m Random Variables 149
References 152
Part 3 Optimum Reception and Performance Evaluation
Chapter 7 Optimum Receivers for Fading Channels 157
7.1 Case of Known Amplitudes, Phases, and Delays: Coherent Detection 159
7.2 The Case of Known Phases and Delays, Unknown Amplitudes 163
7.2.1 Rayleigh Fading 163
7.2.2 Nakagami-m Fading 164
7.3 Case of Known Amplitudes and Delays, Unknown Phases 166
7.4 Case of Known Delays and Unknown Amplitudes and Phases 168
7.4.1 One-Symbol Observation: Noncoherent Detection 168
7.4.2 Two-Symbol Observation: Conventional Differentially Coherent Detection 181
7.4.3 N-Symbol Observation: Multiple Symbol Differentially Coherent Detection 186
7.5 Case of Unknown Amplitudes, Phases, and Delays 188
7.5.1 One-Symbol Observation: Noncoherent Detection 188
7.5.2 Two-Symbol Observation: Conventional Differentially Coherent Detection 190
References 191
Chapter 8 Performance of Single Channel Receives 193
8.1 Performance Over the AWGN Channel 193
8.1.1 Ideal Coherent Detection 194
8.1.2 Nonideal Coherent Detection 206
8.1.3 Noncoherent Detection 209
8.1.4 Partially Coherent Detection 210
8.1.5 Differentially Coherent Detection 213
8.1.6 Generic Results for Binary Signaling 218
8.2 Performance Over Fading Channels 219
8.2.1 Ideal Coherent Detection 220
8.2.2 Nonideal Coherent Detection 234
8.2.3 Noncoherent Detection 239
8.2.4 Partially Coherent Detection 242
8.2.5 Differentially Coherent Detection 243
References 251
Appendix 8A Stein's Unified Analysis of the Error Probability Performance of Certain Communication Systems 253
Chapter 9 Performance of Multichannel Receivers 259
9.1 Diversity Combining 260
9.1.1 Diversity Concept 260
9.1.2 Mathematical Modeling 260
9.1.3 Brief Survey of Diversity Combining Techniques 261
9.1.4 Complexity-Performance Trade-offs 264
9.2 Maximal-Ratio Combining 265
9.2.1 Receiver Structure 265
9.2.2 PDF-Based Approach 267
9.2.3 MGF-Based Approach 268
9.2.4 Bounds and Asymptotic SER Expressions 275
9.3 Coherent Equal Gain Combining 278
9.3.1 Receiver Structure 279
9.3.2 Average Output SNR 279
9.3.3 Exact Error Rate Analysis 281
9.3.4 Approximate Error Rate Analysis 288
9.3.5 Asymptotic Error Rate Analysis 289
9.4 Noncoherent Equal-Gain Combining 290
9.4.1 DPSK, DQPSK, and BFSK: Exact and Bounds 290
9.4.2 M-ary Orthogonal FSK 304
9.5 Outage Probability Performance 311
9.5.1 MRC and Noncoherent EGC 312
9.5.2 Coherent EGC 313
9.5.3 Numerical Examples 314
9.6 Impact of Fading Correlation 316
9.6.1 Model A: Two Correlated Branches with Nonidentical Fading 320
9.6.2 Model B: D Identically Distributed Branches with Constant Correlation 323
9.6.3 Model C: D Identically Distributed Branches with Exponential Correlation 324
9.6.4 Model D: D Nonidentically Distributed Branches with Arbitrary Correlation 325
9.6.5 Numerical Examples 329
9.7 Selection Combining 333
9.7.1 MGF of Output SNR 335
9.7.2 Average Output SNR 336
9.7.3 Outage Probability 338
9.7.4 Average Probability of Error 340
9.8 Switched Diversity 348
9.8.1 Performance of SSC over Independent Identically Distributed Branches 348
9.8.2 Effect of Branch Unbalance 362
9.8.3 Effect of Branch Correlation 366
9.9 Performance in the Presence of Outdated or Imperfect Channel Estimates 370
9.9.1 Maximal-Ratio Combining 370
9.9.2 Noncoherent EGC over Rician Fast Fading 371
9.9.3 Selection Combining 373
9.9.4 Switched Diversity 374
9.9.5 Numerical Results 377
9.10 Hybrid Diversity Schemes 378
9.10.1 Generalized Selection Combining 378
9.10.2 Generalized Switched Diversity 403
9.10.3 Two-Dimensional Diversity Schemes 408
References 411
Appendix 9A Alternative Forms of the Bit Error Probability for a Decision Statistic that is a Quadratic Form of Complex Gaussian Random Variables 421
Appendix 9B Simple Numerical Techniques for the Inversion of the Laplace Transform of Cumulative Distribution Functions 427
9B.1 Euler Summation-Based Technique 427
9B.2 Gauss-Chebyshev Quadrature-Based Technique 428
Appendix 9C Proof of Theorem 1 430
Appendix 9D Direct Proof of Eq. (9.331) 431
Appendix 9E Special Definite Integrals 432
Part 4 Application in Practical Communication Systems
Chapter 10 Optimum Combining: A Diversity Technique for Communication Over Fading Channels in the Presence of Interference 437
10.1 Performance of Optimum Combining Receivers 438
10.1.1 Single Interferer, Independent Identically Distributed Fading 438
10.1.2 Multiple Interferers, Independent Identically Distributed Fading 454
10.1.3 Comparison with Results for MRC in the Presence of Interference 466
References 470
Chapter 11 Direct-Sequence Code-Division Multiple Access 473
11.1 Single-Carrier DS-CDMA Systems 474
11.1.1 System and Channel Models 474
11.1.2 Performance Analysis 477
11.2 Multicarrier DS-CDMA Systems 479
11.2.1 System and Channel Models 480
11.2.2 Performance Analysis 483
11.2.3 Numerical Examples 489
References 492
Part 5 Further Extensions
Chapter 12 Coded Communication Over Fading Channels 497
12.1 Coherent Detection 499
12.1.1 System Model 499
12.1.2 Evaluation of Pairwise Error Probability 502
12.1.3 Transfer Function Bound on Average Bit Error Probability 510
12.1.4 Alternative Formulation of the Transfer Function Bound 513
12.1.5 Example 514
12.2 Differentially Coherent Detection 520
12.2.1 System Model 520
12.2.2 Performance Evaluation 522
12.2.3 Example 524
12.3 Numerical Results: Comparison of the True Upper Bounds and Union-Chernoff Bounds 526
References 530
Appendix 12A Evaluation of a Moment Generating Function Associated with Differential Detection of M-PSK Sequences 532
Index 535


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This timesaving reference provides a unified approach to the performance analysis of digital communication systems over generalized fading channels. Employing alternative forms of such , Digital communication over fading channels

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