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Error Detecting Codes

General Theory And Their Application in Feedback Communication Systems

  • Book
  • © 1995

Overview

Authors:
  1. Torleiv Kløve

    1. Department of Informatics, University of Bergen, Bergen, Norway

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  2. Valery I. Korzhik

    1. St. Petersburg University of Telecommunications, St. Petersburg, Russia

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: The Springer International Series in Engineering and Computer Science (SECS, volume 335)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Channel Models

    • Torleiv Kløve, Valery I. Korzhik
    Pages 1-16

  3. Basics on Error Control

    • Torleiv Kløve, Valery I. Korzhik
    Pages 17-44

  4. Error Detecting Codes for the BSC

    • Torleiv Kløve, Valery I. Korzhik
    Pages 45-119

  5. Codes for Other Channels

    • Torleiv Kløve, Valery I. Korzhik
    Pages 121-141

  6. Protocols for Information Transmission Systems with Feedback

    • Torleiv Kløve, Valery I. Korzhik
    Pages 143-202

  7. Error Detecting Code Optimization for Feedback Systems

    • Torleiv Kløve, Valery I. Korzhik
    Pages 203-225

  8. Concluding Remarks and Some Open Ends

    • Torleiv Kløve, Valery I. Korzhik
    Pages 227-228

  9. Back Matter

    Pages 229-249
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Keywords

About this book

Error detecting codes are very popular for error control in practical systems for two reasons. First, such codes can be used to provide any desired reliability of communication over any noisy channel. Second, implementation is usually much simpler than for a system using error correcting codes. To consider a particular code for use in such a system, it is very important to be able to calculate or estimate the probability of undetected error. For the binary symmetric channel, the probability of undetected error can be expressed in terms of the weight distribution of the code. The first part of the book gives a detailed description of all known methods to calculate or estimate the probability of undetected error, for the binary symmetric channel in particular, but a number of other channel models are also considered. The second part of the book describes a number of protocols for feedback communication systems (ARQ systems), with methods for optimal choice of error detecting codes for the protocols.
Results have been collected from many sources and given a unified presentation. The results are presented in a form which make them accessible to the telecommunication system designer as well as the coding theory researcher and student. The system designer may find the presentation of CRC codes as well as the system performance analysis techniques particularly useful. The coding theorist will find a detailed account of a part of coding theory which is usually just mentioned in most text books and which contains a number of interesting and useful results as well as many challenging open problems.
Audience: Essential for students, practitioners and researchers working in communications and coding theory. An excellent text for an advanced course on the subject.

Authors and Affiliations

  • Department of Informatics, University of Bergen, Bergen, Norway

    Torleiv Kløve

  • St. Petersburg University of Telecommunications, St. Petersburg, Russia

    Valery I. Korzhik

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