| 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 |
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