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The theory of information and coding (Volume 86)【2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载】

The theory of information and coding (Volume 86)
  • Robert J. McEliece 著
  • 出版社： Cambridge University Press
  • ISBN：521000955
  • 出版时间：2002
  • 标注页数：398页
  • 文件大小：48MB
  • 文件页数：413页
  • 主题词：

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图书目录

Introduction1

Problems12

Notes13

Part one：Information theory17

1 Entropy and mutual information17

1.1 Discrete random variables17

1.2 Discrete random vectors33

1.3 Nondiscrete random variables and vectors37

Problems44

Notes49

2 Discrete memoryless channels and their capacity-cost functions50

2.1 The capacity-cost function50

2.2 The channel coding theorem58

Problems68

Notes73

3 Discrete memoryless sources and their rate-distortion functions75

3.1 The rate-distortion function75

3.2 The source coding theorem84

Problems91

Notes93

4 The Gaussian channel and source95

4.1 The Gaussian channel95

4.2 The Gaussian source99

Problems105

Notes110

5 The source-channel coding theorem112

Problems120

Notes122

6 Survey of advanced topics for part one123

6.1 Introduction123

6.2 The channel coding theorem123

6.3 The source coding theorem131

Part two：Coding theory139

7 Linear codes139

7.1 Introduction：The generator and parity-check matrices139

7.2 Syndrome decoding on q-ary symmetric channels143

7.3 Hamming geometry and code performance146

7.4 Hamming codes148

7.5 Syndrome decoding on general q-ary channels149

7.6 Weight enumerators and the MacWilliams identities153

Problems158

Notes165

8 Cyclic codes167

8.1 Introduction167

8.2 Shift-register encoders for cyclic codes181

8.3 Cyclic Hamming codes195

8.4 Burst-error correction199

8.5 Decoding burst-error correcting cyclic codes215

Problems220

Notes228

9 BCH，Reed-Solomon，and related codes230

9.1 Introduction230

9.2 BCH codes as cyclic codes234

9.3 Decoding BCH codes，Part one：the key equation236

9.4 Euclid’s algorithm for polynomials244

9.5 Decoding BCH codes，Part two：the algorithms249

9.6 Reed-Solomon codes253

9.7 Decoding when erasures are present266

9.8 The（23，12）Golay code277

Problems282

Notes292

10 Convolutional codes293

10.1 Introduction293

10.2 State diagrams，trellises，and Viterbi decoding300

10.3 Path enumerators and error bounds307

10.4 Sequential decoding313

Problems322

Notes329

11 Variable-length source coding330

11.1 Introduction330

11.2 Uniquely decodable variable-length codes331

11.3 Matching codes to sources334

11.4 The construction of optimal UD codes（Huffman’s algorithm）337

Problems342

Notes345

12 Survey of advanced topics for Part two347

12.1 Introduction347

12.2 Block codes347

12.3 Convolutional codes357

12.4 A comparison of block and convolutional codes359

12.5 Source codes363

Appendices366

A Probability theory366

B Convex functions and Jensen’s inequality370

C Finite fields375

D Path enumeration in directed graphs380

References384

1 General reference textbooks384

2 An annotated bibliography of the theory of information and coding384

3 Original papers cited in the text386

Index of Theorems388

Index390

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