Digital Communication Systems

Contents

1    Introduction

1.1   Historical Background

1.2   The Communication Process

1.3   Multiple-Access Techniques

1.4   Networks

1.5   Digital Communications

1.6   Organization of the Book

2    Fourier Analysis of Signals and Systems

2.1    Introduction

2.2    The Fourier Series

2.3    The Fourier Transform

2.4    The Inverse Relationship between Time-Domain and Frequency-Domain Representations

2.5    The Dirac Delta Function

2.6    Fourier Transforms of Periodic Signals

2.7    Transmission of Signals through Linear Time-Invariant Systems

2.8    Hilbert Transform

2.9    Pre-envelopes

2.10  Complex Envelopes of Band-Pass Signals

2.11  Canonical Representation of Band-Pass Signals

2.12  Complex Low-Pass Representations of Band-Pass Systems

2.13  Putting the Complex Representations of Band-Pass Signals and Systems All Together

2.14  Linear Modulation Theory

2.15  Phase and Group Delays

2.16  Numerical Computation of the Fourier Transform

2.17  Summary and Discussion

3    Probability Theory and Bayesian Inference

3.1   Introduction

3.2   Set Theory

3.3   Probability Theory

3.4   Random Variables

3.5   Distribution Functions

3.6   The Concept of Expectation

3.7   Second-Order Statistical Averages

3.8   Characteristic Function

3.9   The Gaussian Distribution

3.10  The Central Limit Theorem

3.11  Bayesian Inference

3.12  Parameter Estimation

3.13  Hypothesis Testing

3.14  Composite Hypothesis Testing

3.15  Summary and Discussion

4    Stochastic Processes

4.1   Introduction