Digital Communication Systems（Simon Haykin,2014）

Copyright  2014 John Wiley & Sons, Inc 总页数：802 Contents 1 Introduction 1 1.1 Historical Background 1 1.2 The Communication Process 2 1.3 Multiple-Access Techniques 4 1.4 Networks 6 1.5 Digital Communications 9 1.6 Organization of the Book 11 2 Fourier Analysis of Signals and Systems 13 2.1 Introduction 13 2.2 The Fourier Series 13 2.3 The Fourier Transform 16 2.4 The Inverse Relationship between Time-Domain and Frequency-Domain Representations 25 2.5 The Dirac Delta Function 28 2.6 Fourier Transforms of Periodic Signals 34 2.7 Transmission of Signals through Linear Time-Invariant Systems 37 2.8 Hilbert Transform 42 2.9 Pre-envelopes 45 2.10 Complex Envelopes of Band-Pass Signals 47 2.11 Canonical Representation of Band-Pass Signals 49 2.12 Complex Low-Pass Representations of Band-Pass Systems 52 2.13 Putting the Complex Representations of Band-Pass Signals and Systems All Together 54 2.14 Linear Modulation Theory 58 2.15 Phase and Group Delays 66 2.16 Numerical Computation of the Fourier Transform 69 2.17 Summary and Discussion 78 3 Probability Theory and Bayesian Inference 87 3.1 Introduction 87 3.2 Set Theory 88 3.3 Probability Theory 90 3.4 Random Variables 97 3.5 Distribution Functions 98 3.6 The Concept of Expectation 105 3.7 Second-Order Statistical Averages 108 3.8 Characteristic Function 111 3.9 The Gaussian Distribution 113 3.10 The Central Limit Theorem 118 3.11 Bayesian Inference 119 3.12 Parameter Estimation 122 3.13 Hypothesis Testing 126 3.14 Composite Hypothesis Testing 132 3.15 Summary and Discussion 133 4 Stochastic Processes 145 4.1 Introduction 145 4.2 Mathematical Definition of a Stochastic Process 145 4.3 Two Classes of Stochastic Processes: Strictly Stationary and Weakly Stationary 147 4.4 Mean, Correlation, and Covariance Functions of Weakly Stationary Processes 149 4.5 Ergodic Processes 157 4.6 Transmission of a Weakly Stationary Process through a Linear Time-invariant Filter 158 4.7 Power Spectral Density of a Weakly Stationary Process 160