[PDF] Error Detecting Codes eBook

Author : Torleiv Kløve
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 16,99 MB
Release : 1995-09-30
Category : Technology & Engineering
ISBN : 9780792396291

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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.

Author : Torleiv Klove
Publisher : World Scientific
Page : 214 pages
File Size : 45,34 MB
Release : 2007
Category : Computers
ISBN : 9812770518

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There are two basic methods of error control for communication, both involving coding of the messages. With forward error correction, the codes are used to detect and correct errors. In a repeat request system, the codes are used to detect errors and, if there are errors, request a retransmission. Error detection is usually much simpler to implement than error correction and is widely used. However, it is given a very cursory treatment in almost all textbooks on coding theory. Only a few older books are devoted to error detecting codes. This book begins with a short introduction to the theory of block codes with emphasis on the parts important for error detection. The weight distribution is particularly important for this application and is treated in more detail than in most books on error correction. A detailed account of the known results on the probability of undetected error on the q-ary symmetric channel is also given.

Author : Torleiv Klove
Publisher : World Scientific
Page : 214 pages
File Size : 31,46 MB
Release : 2007-04-25
Category : Mathematics
ISBN : 9814475785

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There are two basic methods of error control for communication, both involving coding of the messages. With forward error correction, the codes are used to detect and correct errors. In a repeat request system, the codes are used to detect errors and, if there are errors, request a retransmission. Error detection is usually much simpler to implement than error correction and is widely used. However, it is given a very cursory treatment in almost all textbooks on coding theory. Only a few older books are devoted to error detecting codes.This book begins with a short introduction to the theory of block codes with emphasis on the parts important for error detection. The weight distribution is particularly important for this application and is treated in more detail than in most books on error correction. A detailed account of the known results on the probability of undetected error on the q-ary symmetric channel is also given.

Author : Torleiv Kløve
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 11,35 MB
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 1461523095

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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.

Author : D J. Baylis
Publisher : Routledge
Page : 238 pages
File Size : 31,86 MB
Release : 2018-05-11
Category : Mathematics
ISBN : 1351449834

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Assuming little previous mathematical knowledge, Error Correcting Codes provides a sound introduction to key areas of the subject. Topics have been chosen for their importance and practical significance, which Baylis demonstrates in a rigorous but gentle mathematical style.Coverage includes optimal codes; linear and non-linear codes; general techniques of decoding errors and erasures; error detection; syndrome decoding, and much more. Error Correcting Codes contains not only straight maths, but also exercises on more investigational problem solving. Chapters on number theory and polynomial algebra are included to support linear codes and cyclic codes, and an extensive reminder of relevant topics in linear algebra is given. Exercises are placed within the main body of the text to encourage active participation by the reader, with comprehensive solutions provided.Error Correcting Codes will appeal to undergraduate students in pure and applied mathematical fields, software engineering, communications engineering, computer science and information technology, and to organizations with substantial research and development in those areas.

Author : W. Wesley Peterson
Publisher : National Geographic Books
Page : 0 pages
File Size : 50,6 MB
Release : 1972-03-15
Category : Computers
ISBN : 0262527316

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Error-Correcting Codes, by Professor Peterson, was originally published in 1961. Now, with E. J. Weldon, Jr., as his coauthor, Professor Peterson has extensively rewritten his material. The book contains essentially all of the material of the first edition; however, the authors state that because there has been so much new work published in error-correcting codes, the preparation of this second edition proved to be a much greater task than writing the original book. The major additions are the chapters on majority-logic codes, synchronization, and convolutional codes. Much new material has also been added to the chapters on important linear block codes and cyclic codes. The authors cite some highly regarded books on recent work done in Eastern Europe and an extensive bibliography on coding theory in the Soviet Union [sic]. In its much-expanded form, Error-Correcting Codes may be considered another valuable contribution to computer coding.

Author : William. Buchanan
Publisher : Springer Science & Business Media
Page : 1115 pages
File Size : 31,87 MB
Release : 2013-11-11
Category : Technology & Engineering
ISBN : 1475709056

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The object of this book is to cover most of the currently relevant areas of data communications and networks. These include: Communications protocols (especially TCP/IP) Networking (especially in Ethernet, Fast Ethernet, FDDI and ATM) Networking operating systems (especially in Windows NT, Novell NetWare and UNIX) Communications programs (especially in serial communications, parallel communications and TCP/IP) Computer hardware (especially in PC hardware, serial communications and parallel communication) The book thus splits into 15 different areas, these are: General data compression (Chapters 2 and 3) Video, images and sound (Chapters 4-11 ) Error coding and encryption (Chapters 12-17) TCP/IP, WWW, Internets and Intranets (Chapters 18-20 and 23) Electronic Mail (Chapter 21 ) HTML (Chapters 25 and 26) Java (Chapters 27-29) Communication Programs (Chapters 20, 29 and 49) Network Operating Systems (Chapters 31-34) LANs/WANs (Chapters 35, 38-46) Serial Communications (Chapters 47 and 48) Parallel Communications (Chapters 50-52) Local Communications (Chapters 53-57) Routing and Protocols (Chapters 36 and 37) Cables and connectors (Chapters 58--60) Many handbooks and reference guides on the market contain endless tables and mathematics, or are dry to read and contain very little insight in their subject area. I have tried to make this book readable, but also contain key information which can be used by professionals.

Author : Marcello Barbieri
Publisher : Springer Science & Business Media
Page : 443 pages
File Size : 44,18 MB
Release : 2007-10-26
Category : Science
ISBN : 1402063407

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Building on a range of disciplines – from biology and anthropology to philosophy and linguistics – this book draws on the expertise of leading names in the study of organic, mental and cultural codes brought together by the emerging discipline of biosemiotics. The volume represents the first multi-authored attempt to deal with the range of codes relevant to life, and to reveal the ubiquitous role of coding mechanisms in both organic and mental evolution.

Author : Joseph Kirtland
Publisher : Cambridge University Press
Page : 194 pages
File Size : 49,10 MB
Release : 2001-03-29
Category : Mathematics
ISBN : 9780883857205

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Introduction to the mathematics involved in designing identification codes for everyday goods.