信息和編碼理論

信息和編碼理論

《信息和編碼理論》,可作為高等院校信息安全、通信工程、信息工程、電子工程、計算機等專業本科生的教材,也可作為相關專業科技人員的參考書。

基本信息

編輯推薦

《信息和編碼理論》內容豐富,取材經典、新穎,概念清楚,文字通俗,深入淺出。可作為高等院校信息安全、通信工程、信息工程、電子工程、計算機等專業本科生的教材,也可作為相關專業科技人員的參考書。

目錄

Preface

Notes to the Reader

1. Source Coding

1.1 Definitions and Examples

1.2 Uniquely Decodable Codes

1.3 Instantaneous Codes

1.4 Constructing Instantaneous Codes

1.5 Kraft's Inequality

1.6 McMillan's Inequality

1.7 Comments on Kraft's and McMillan's Inequalities

1.8 Supplementary Exercises

2. Optimal Code

2.1 Optimality

2.2 Binary Huffman Codes

2.3 Average Word-length of Huffman Codes

2.4 Optimality of Binary Huffman Codes

2.5 r-ary Huffman Codes

2.6 Extensions of Sources

2.7 Supplementary Exercises

3. entropy

3.1 Information and Entropy

3.2 Properties of the Entropy Function

3.3 Entropy and Average Word-length

3.4 Shannon-Fano Coding

3.5 Entropy of Extensions and Products

3.6 Shannon's First Theorem

3.7 An Example of Shannon's First Theorem

3.8 Supplementary Exercises

4. Information Channel

4.1 Notation and Definitions

4.2 The Binary Symmetric Channel

4.3 System Entropies

4.4 System Entropies for the Binary Symmetric Channel

4.5 Extension of Shannon's First Theorem to Information Channels

4.6 Mutual Information

4.7 Mutual Information for the Binary Symmetric Channel

4.8 Channel Capacity

4.9 Supplementary Exercises

5. Using an unreliable Channel

5.1 Decision Rules

5.2 An Example of Improved Reliability

5.3 Hamming Distance

5.4 Statement and Outline Proof of Shannon's Theorem

5.5 The Converse of Shannon's Theorem

5.6 Comments on Shannon's Theorem

5.7 Supplementary Exercises

6. Error-correcting Code

6.1 Introductory Concepts

6.2 Examples of Codes

6.3 Minimum Distance

6.4 Hamming's Sphere-packing Bound

6.5 The Gilbert-Varshamov Bound

6.6 Hadamard Matrices and Codes

6.7 Supplementary Exercises

7. Linear Code

7.1 Matrix Description of Linear Codes

7.2 Equivalence of Linear Codes

7.3 Minimum Distance of Linear Codes

7.4 The Hamming Codes

7.5 The Golay Codes

7.6 The Standard Array

7.7 Syndrome Decoding

7.8 Supplementary Exercises

Suggestions for Further Reading

Appendix A. Proof of the Sardinas-Patterson Theorem

Appendix B. The Law of Large Numbers

Appendix C. Proof of Shannon's Fundamental Theorem

Solutions to Exercises

bibliography

Index of Symbols and Abbreviations

Index

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