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Coding Theorems of Information Theory

Reihe: Wahrscheinlichkeitstheorie und Mathematische Statistik

  • Book
  • © 1961

Overview

Authors:
  1. J. Wolfowitz

    1. Cornell University, 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 (10 chapters)

  1. Front Matter

    Pages II-IX
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  2. Heuristic Introduction to the Discrete Memoryless Channel

    • J. Wolfowitz
    Pages 1-5

  3. Combinatorial Preliminaries

    • J. Wolfowitz
    Pages 5-14

  4. The Discrete Memoryless Channel

    • J. Wolfowitz
    Pages 14-32

  5. Compound Channels

    • J. Wolfowitz
    Pages 32-51

  6. The Discrete Finite-Memory Channel

    • J. Wolfowitz
    Pages 51-60

  7. Discrete Channels with a Past History

    • J. Wolfowitz
    Pages 60-77

  8. General Discrete Channels

    • J. Wolfowitz
    Pages 77-93

  9. The Semi-Continuous Memoryless Channel

    • J. Wolfowitz
    Pages 93-108

  10. Continuous Channels with Additive Gaussian Noise

    • J. Wolfowitz
    Pages 108-117

  11. Mathematical Miscellanea

    • J. Wolfowitz
    Pages 117-124

  12. Back Matter

    Pages 124-125
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Keywords

About this book

This monograph originated with a course of lectures on information theory which I gave at Cornell University during the academic year 1958-1959. It has no pretensions to exhaustiveness, and, indeed, no pretensions at all. Its purpose is to provide, for mathematicians of some maturity, an easy introduction to the ideas and principal known theorems of a certain body of coding theory. This purpose will be amply achieved if the reader is enabled, through his reading, to read the (sometimes obscurely written) literature and to obtain results of his own. The theory is ob­ viously in a rapid stage of development; even while this monograph was in manuscript several of its readers obtained important new results. The first chapter is introductory and the subject matter of the monograph is described at the end of the chapter. There does not seem to be a uniquely determined logical order in which the material should be arranged. In determining the final arrangement I tried to obtain an order whichmakes reading easy and yet is not illogical. I can only hope that the resultant compromises do not earn me the criticism that I failed on both counts. There are a very few instances in the monograph where a stated theorem is proved by a method which is based on a result proved only later.

Authors and Affiliations

  • Cornell University, USA

    J. Wolfowitz

Bibliographic Information

  • Book Title: Coding Theorems of Information Theory

  • Book Subtitle: Reihe: Wahrscheinlichkeitstheorie und Mathematische Statistik

  • Authors: J. Wolfowitz

  • Series Title: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge

  • DOI: https://doi.org/10.1007/978-3-662-01510-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1961

  • eBook ISBN: 978-3-662-01510-0Published: 17 April 2013

  • Edition Number: 1

  • Number of Pages: IX, 125

  • Additional Information: Jointly pubslihed with Prentice-Hall, Englewood Cliffs, NY

  • Topics: Coding and Information Theory, Mathematics, general

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