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信息论基础(Tomas M.Cover)答案.pdf

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    Elements of Information Theory Second Edition Solutions to Problems Thomas M. Cover Joy A. Thomas September 22, 2006
    1 COPYRIGHT 2006 Thomas Cover Joy Thomas All rights reserved
    2
    Contents 1 Introduction 2 Entropy, Relative Entropy and Mutual Information 3 The Asymptotic Equipartition Property 4 Entropy Rates of a Stochastic Process 5 Data Compression 6 Gambling and Data Compression 7 9 49 61 97 139 3
    4 CONTENTS
    Preface The problems in the book, \Elements of Information Theory, Second Edition", were chosen from the problems used during the course at Stanford. Most of the solutions here were prepared by the graders and instructors of the course. We would particularly like to thank Prof. John Gill, David Evans, Jim Roche, Laura Ekroot and Young Han Kim for their help in preparing these solutions. Most of the problems in the book are straightforward, and we have included hints in the problem statement for the dicult problems. In some cases, the solutions include extra material of interest (for example, the problem on coin weighing on Pg. 12). We would appreciate any comments, suggestions and corrections to this Solutions Man- ual. Tom Cover Durand 121, Information Systems Lab Joy Thomas Stratify Stanford University Stanford, CA 94305. Ph. 415-723-4505 FAX: 415-723-8473 701 N Shoreline Avenue Mountain View, CA 94043. Ph. 650-210-2722 FAX: 650-988-2159 Email: cover@isl.stanford.edu Email: jat@stratify.com 5
    6 CONTENTS
    Chapter 1 Introduction 7
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