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Coding Theorems of Information Theory

  • Book
  • © 1978

Overview

Authors:
  1. Jacob Wolfowitz

    1. Department of Mathematics, University of Illinois, Urbana, USA

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Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge (MATHE2, volume 31)

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-XI
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  2. Heuristic Introduction to the Discrete Memoryless Channel

    • Jacob Wolfowitz
    Pages 1-5

  3. Combinatorial Preliminaries

    • Jacob Wolfowitz
    Pages 6-14

  4. The Discrete Memoryless Channel

    • Jacob Wolfowitz
    Pages 14-33

  5. Compound Channels

    • Jacob Wolfowitz
    Pages 33-52

  6. The Discrete Finite-Memory Channel

    • Jacob Wolfowitz
    Pages 52-61

  7. Channels with Arbitrarily Varying Channel Probability Functions

    • Jacob Wolfowitz
    Pages 62-76

  8. General Discrete Channels

    • Jacob Wolfowitz
    Pages 76-104

  9. The Semi-Continuous Memoryless Channel

    • Jacob Wolfowitz
    Pages 104-109

  10. Continuous Channels with Additive Gaussian Noise

    • Jacob Wolfowitz
    Pages 109-117

  11. Mathematical Miscellanea

    • Jacob Wolfowitz
    Pages 118-124

  12. Fundamentals of Rate Distortion Theory

    • Jacob Wolfowitz
    Pages 125-133

  13. Source Coding

    • Jacob Wolfowitz
    Pages 134-144

  14. Source Coding and Rate Distortion

    • Jacob Wolfowitz
    Pages 145-155

  15. Multiple Access Channels

    • Jacob Wolfowitz
    Pages 155-160

  16. Degraded Broadcast Channels

    • Jacob Wolfowitz
    Pages 161-170

  17. Back Matter

    Pages 171-176
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Keywords

About this book

The objective of the present edition of this monograph is the same as that of earlier editions, namely, to provide readers with some mathemati­ cal maturity a rigorous and modern introduction to the ideas and principal theorems of probabilistic information theory. It is not necessary that readers have any prior knowledge whatever of information theory. The rapid development of the subject has had the consequence that any one book can now cover only a fraction of the literature. The latter is often written by engineers for engineers, and the mathematical reader may have some difficulty with it. The mathematician who understands the content and methods of this monograph should be able to read the literature and start on research of his own in a subject of mathematical beauty and interest. The present edition differs from the second in the following: Chapter 6 has been completely replaced by one on arbitrarily varying channels. Chapter 7 has been greatly enlarged. Chapter 8 on semi-continuous channels has been drastically shortened, and Chapter 11 on sequential decoding completely removed. The new Chapters 11-15 consist entirely of material which has been developed only in the last few years. The topics discussed are rate distortion, source coding, multiple access channels, and degraded broadcast channels. Even the specialist will find a new approach in the treatment of these subjects. Many of the proofs are new, more perspicuous, and considerably shorter than the original ones.

Authors and Affiliations

  • Department of Mathematics, University of Illinois, Urbana, USA

    Jacob Wolfowitz

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