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书名 | 信息论基础(英文版)/国外信息科学与技术优秀图书系列 |
分类 | 教育考试-考试-计算机类 |
作者 | (加)杨伟豪 |
出版社 | 科学出版社 |
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简介 | 内容推荐 《信息论基础(英文版)》作者(杨伟豪)现为香港中文大学网络编码研究所主任,是网络编码理论的提出者之一。本书原版自2002年出版以来,被哥伦比亚大学、康奈尔大学、麻省理工学院、斯坦福大学等美国有名学府所采用,是信息理论方面的重要教材。本书首先介绍了信息论的经典内容,然后全面详细地论述了,度量、网络编码、Shannon型与非Shannon型信息不等式等理论,以及熵函数与群论之间的关系。《信息论基础(英文版)》中配有大量的实例、插图和习题,适合作为通信、电子信息、计算机等专业的高年级本科生和研究生的教材,也可供相关领域的科研人员参考。 作者简介 杨伟豪(Raymond W.Yeung)教授1988年毕业于美国康奈尔大学。获博士学位。之后曾在AT&T贝尔实验室工作3年,于1991年加入香港中文大学。现为网络编码研究所主任。是网络编码理论的提出者之一,其主要研究领域为信息理论与网络编码。他还是IEEE Fellow和香港工程师学会会士。 目录 1. THE SCIENCE OF INFORMATION 2. INFORMATION MEASURES 2.1 Independence and Markov Chains 2.2 Shannon's Information Measures 2.3 Continuity of Shannon's Information Measures 2.4 Chain Rules 2.5 Informational Divergence 2.6 The Basic Inequalities 2.7 Some Useful Information Inequalities 2.8 Fano's Inequality 2.9 Entropy Rate of Stationary Source Problems Historical Notes 3. ZERO-ERROR DATA COMPRESSION 3.1 The Entropy Bound 3.2 Prefix Codes 3.2.1 Definition and Existence 3.2.2 Huffman Codes 3.3 Redundancy of Prefix Codes Problems Historical Notes 4. WEAK TYPICALITY 4.1 The Weak AEP 4.2 The Source Coding Theorem 4.3 Efficient Source Coding 4.4 The Shannon-McMiilan-BreimanTheorem Problems Historical Notes 5. STRONG TYPICALITY 5.1 StrongAEP 5.2 Strong Typicality Versus Weak Typicality 5.3 Joint Typicality 5.4 An Interpretation of the Basic Inequalities Problems Historical Notes 6. THE/-MEASURE 6.1 Preliminaries 6.2 The/-Measure for Two Random Variables 6.3 Construction of the/-Measure ч* 6.4 #* Can be Negative 6.5 Information Diagrams 6.6 Examples of Applications Appendix 6.A: A Variation of the Inclusion-Exclusion Formula Problems Historical Notes 7. MARKOV STRUCTURES 7.1 Conditional Mutual Independence 7.2 Full Conditional Mutual Independence 7.3 Markov Random Field 7.4 Markov Chain Problems Historical Notes 8. CHANNEL CAPACITY 8.1 Discrete MemorylessChannels 8.2 The Channel Coding Theorem 8.3 The Converse 8.4 Achievability of the Channel Capacity 8.5 A Discussion 8.6 Feedback Capacity 8.7 Separation of Source and Channel Coding Problems Historical Notes 9. RATE-DISTORTION THEORY 9.1 Single-Letter Distortion Measures 9.2 The Rate-Distortion Function R(D) 9.3 The Rate-Distortion Theorem 9.4 The Converse 9.5 Achievability of RI(D) Problems Historical Notes 10. THE BLAHUT-ARIMOTO ALGORITHMS 10.I Alternating Optimization 10.2 The Algorithms 10.2.1 Channel Capacity 10.2.2 The Rate-Distortion Function 10.3 Convergence 10.3.1- A Sufficient Condition 10.3.2 Convergence to the Channel Capacity Problems Historical Notes 11. SINGLE-SOURCE NETWORK CODING 11.1 A Point-to-Point Network 11.2 What is Network Coding? 11.3 A Network Code 11.4 The Max-Flow Bound 11.5 Achievability of the Max-Flow Bound 11.5.1 Acyclic Networks 11.5.2 Cyclic Networks Problems Historical Notes 12. INFORMATION INEQUALITIES 12.1 The Region Fn 12.2 Information Expressions in Canonical Form 12.3 A Geometrical Framework 12.3.1 Unconstrained Inequalities 12.3.2 Constrained Inequalities 12.3.3 Constrained Identities 12.4 Equivalence of Constrained Inequalities 12.5 The Implication Problem of Conditional Independence Problems Historical Notes 13 SHANNON-TYPE INEQUALITIES 13.1 The Elemental Inequalities 13.2 A Linear Programming Approach 13.2.1 Unconstrained Inequalities 13.2.2 Constrained Inequalities and Identities 13.3 A Duality 13.4 Machine Proving - ITIP 13.5 Tackling the Implication Problem 13.6 Minimality of the Elemental Inequalities Appendix 13.A: The Basic Inequalities and the Polymatroidal Axioms Problems Historical Notes 14. BEYOND SHANNON-TYPE INEQUALITIES 14.1 Characterizations of г2,г3, and гn 14.2 A Non-Shannon-Type Unconstrained Inequality 14.3 A Non-Shannon-Type Constrained Inequality 14.4 Applications Problems Historical Notes 15. MULTI-SOURCE NETWORK CODING 15.1 Two Characteristics 15.1.1 The Max-Flow Bounds 15.1.2 Superposition Coding 15.2 Examples of Application 15.2.1 Multilevel Diversity Coding 15.2.2 Satellite Communication Network 15.3 A Network Code for Acyclic Networks 15.4 An Inner Bound 15.5 An Outer Bound 15.6 The LP Bound and Its Tightness 15.7 Achievability of Rin Appendix 15.A: Approximation of Random Variables with Infinite Alphabets Problems Historical Notes 16. ENTROPY AND GROUPS 16.1 Group Preliminaries 16.2 Group-Characterizable Entropy Functions 16.3 A Group Characterization of гn 16.4 Information Inequalities and Group Inequalities Problems Historical Notes Bibliography Index |
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