Signal Processing in Digital Communications -- Contents vii -- Preface xv -- 1 Introduction 1 -- 1.1 A History of Communications Using Electricity 1 -- 1.2 Digital Communication Systems 3 -- 1.3 Digital RF Systems 6 -- 1.4 Link Budget 17 -- 1.5 Summary 21 -- References 22 -- 2 Probability, Random Variables, and Stochastic Signal Processing 25 -- 2.1 Introduction 25 -- 2.2 Probability 26 -- 2.4 Probability Distributions and Densities 32 -- 2.5 Functions of Random Variables 39 -- 2.6 Discrete Distributions and Densities 45 -- 2.7 Continuous Distributions and Densities 51 -- 2.8 Upper Bounds on the Probability 66 -- 2.9 Stochastic Signal Processes 70 -- 2.10 Detection Theory and Optimum Receivers 83 -- 2.11 Summary 87 -- References 89 -- 3 Sampling Theory 91 -- 3.1 Introduction 91 -- 3.2 Discrete-Time Sampled Signals 92 -- 3.3 Nyquist Sampling Theorem 94 -- 3.4 Undersampling 100 -- 3.5 Stochastic Sampling Theorem 105 -- 3.6 Summary 106 -- References 108 -- 4 Channel Capacity 109 -- 4.1 Introduction 109 -- 4.2 Gaussian Channel Capacity 110 -- 4.3 Bandlimited Channel Capacity 112 -- 4.4 MIMO Channel Capacity 117 -- 4.5 SIMO Channel Capacity 121 -- 4.6 MISO Channel Capacity 121 -- 4.7 Summary 122 -- References 123 -- 5 Smart Antenna Systems 125 -- 5.1 Introduction 125 -- 5.2 Smart Antennas and Beamforming Structures 126 -- 5.3 Beamforming Algorithms 133 -- 5.4 Summary 139 -- References 140 -- 6 Channel Characterization and Distortion 141 -- 6.1 Introduction 141 -- 6.2 Wireless Channels 143 -- 6.3 Wired Channels 163 -- 6.4 Channel Distortion 171 -- 6.5 Pulse Shaping 180 -- 6.6 Matched Filtering 183 -- 6.7 Summary 184 -- References 187 -- 7 Channel Estimation and Blind Identification 189 -- 7.1 Introduction 189 -- 7.2 Discrete-Time Channel Models 191 -- 7.3 Channel Estimators 194 -- 7.4 Adaptive Channel Estimation and Algorithms 208.

7.5 Channel Models and HOS Estimations 226 -- 7.6 Blind Channel Identification 238 -- 7.7 Summary 252 -- References 253 -- 8 Adaptive Equalizers in Communication Receivers 257 -- 8.1 Introduction 257 -- 8.2 Linear Equalizer 260 -- 8.3 Adaptive Linear Equalizer 272 -- 8.4 Fractionally Spaced Equalizer 279 -- 8.5 Decision Feedback Equalizer 299 -- 8.6 Space-Time Equalizer 315 -- 8.7 Diversity Equalizer 323 -- 8.8 Summary 338 -- References 342 -- 9 Multicarrier Modulation, DMT, and OFDM 345 -- 9.1 Introduction 345 -- 9.2 Fundamentals of Discrete Multitone Modulation 347 -- 9.3 FFT-Based OFDM 359 -- 9.4 Filter Bank-Based OFDM 373 -- 9.5 Summary 382 -- References 384 -- 10 Discrete-Time Synchronization 387 -- 10.1 Introduction 387 -- 10.2 Discrete-Time Phase Locked Loop 389 -- 10.3 Timing Recovery 402 -- 10.4 Carrier Recovery 424 -- 10.5 Summary 435 -- References 435 -- Appendix A: The z-Transform -- A.1 Introduction 437 -- A.2 The z-Transform 437 -- A.3 The Inverse z-Transform 448 -- A.4 The z-Transform All-Pass and Phase Systems 452 -- References 456 -- Appendix B: Matrix Theory 457 -- B.1 Introduction 457 -- B.2 Vector Definitions 457 -- B.3 Matrix Definitions 459 -- B.4 Orthogonal Matrices 461 -- B.5 Trace 461 -- B.6 Matrix Differentiation 462 -- B.7 Determinants 462 -- B.8 Matrix Inversion 464 -- B.9 Eigenanalysis 464 -- B.11 Singular Value Decomposition 468 -- B.12 Quadratic Forms 470 -- B.13 Maximization and Minimization Analysis 471 -- References 473 -- Appendix C: The Discrete Fourier Transform 475 -- C.1 Introduction 475 -- C.2 DFT Operation 475 -- C.3 IDFT Operation 476 -- C.4 DFT Matrix Operation 477 -- References 478 -- Appendix D: The Fast Fourier Transform 479 -- D.1 Introduction 479 -- D.2 FFT Methods 479 -- D.3 Fixed-Point FFT Algorithm 486 -- References 493 -- Appendix E: Discrete Mathematical Formulas 495.

E.1 Complex Exponential Formulas 495 -- E.2 Discrete Closed-Form Formulas 495 -- E.3 Approximation Forumlas 496 -- E.4 Logarithmic Formulas 497 -- About the Author 499 -- Index 501.