本书是数学通信领域的一本经典教材，通过对概率论及随机过程的复习，详细介绍了数字和模拟信源编码，数字调制信号和窄带信号与系统的特征、加性高斯白噪声中数字通信的调制和最佳调制与检测方法、基于最大似然准则的载波相位估计和定时同步的方法、不同信道模型的信道容量及随机编码、带限信道的信号设计、受到符号干扰恶化信号的解调与检测问题、自适应信道均衡、多信道与多载波调制、扩展频谱信号和系统、衰落信道上的数字通信。本书适合通信工程相关专业的高年级本科生、研究生及工程技术人员阅读。

1 Introduction
1.1 Elements of a DigitaL Communication System
1.2 Communication Channels and Their Characteristics
1.3 Mathematical Models for Commumication Channels
1.4 A Historical Perspecove in the Development of Digital CommumiCations
1.5 Overview of the Book
1.6 Bibliographical Notes and References
2 Probability and Stochasic Processes
2.1 Probability
2.1.1 Random Variables，Probability Distribrtions，and Probability Densities/2.12Fumctions of Random Variables/2.13 Statistcal Averages of Random V ariables/2.14Soum Usefr|ul Probability Distributions/2.15 Upper Boumds on the Tlil Prbadbility/2.16 Sums of Random V ariables and the Central Limit Theorem
2.2 Stochatsic Processes
2.2.1 Statistical Averages/2.2.2 Pomer Density Spectrum/2.2.3 Response of a Linear Time-Invariant System to a Random Input Signal/2.2.4 Samplimn Teorem forM Band-Limited Stochastic Processes/2.2.5 Discrete-Time Stochastic Sigmals and Sstems /2.2.6 Cyclostationary Processes
2.3 Bibliographical Notes and References
Problems
3 Source Coding
3.1 MathematicaL Models for Information Sources
3.2 A logarihmic Measure of Information
3.2.1 Average MutuaL Information and Entropy/3.2.2 Information Measures for Comtinuous Random V ariables
3.3 Coding for Discrete Sources
3.3.1 Coding fou Discrete Memorless Sources/3.3.2 Discrete Stationary Sources/3.3.3 The Lempel-Ziv Algorithm
……
4 Characterixation of Commrnication Signals and Systems
5 Optimum Receivers for the Additive White GaussiaN Noise Channel
6 Carrer and Symbol Synchromxiation
7 Channel Capacity and Coding
8 Block and ConvvolutionaL Channel Codes
9 Signal Design for Band-Limited Channels
10 Communication Through Band-Limited Linear FIlter Channels
11 Adaptive Equalization
12 Multichannel and Multicarrier Systems
13 Spread Spectrum Signals for DigitaL CommunicaTions
14 DigitaL Communications Through Fading Multipagh Channels
15 Mrltiuser Communications
Appendix A The Levinson-Durbin Algorithm
Appendix B Error Probability for Muitichannel BinarY Signals
Appendix C Error Probabilities for Adaptive Reception of M-Phade Signals
Appendix D Square-Root Factorization