Titlebook: Error Coding for Engineers; A. Houghton Book 2001 Springer Science+Business Media New York 2001 Boolean algebra.Hardware.algebra.coding.co

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Hardware, be generic, capable of supporting arbitrary field size or primitive polynomial, or it might be specific to a particular field. Any solution will be a function of available resources, speed of execution and the application.

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Introduction, subject, but in pragmatic terms of what’s underneath it that makes it work. The maths which surrounds error coding serves two key purposes; one, it shows us what can theoretically be achieved by error coding and what we might reasonable have to do to get there and, two, it provides mechanisms for i

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Error Detection,d messages. With error correction, however, more space is generally required as is some mechanism for finding the nearest valid message to a corrupted one. Error detection provides a gentle introduction into practical coding and two techniques are examined. Both techniques can be applied to error co

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Error Correction by Parity,le of vertical parity checking in conjunction with horizontal parity checking. The purpose of that particular example was to illustrate that some of the shortcomings of the simple horizontal parity check could be overcome. If, however, only a single-bit error occurs then the bit which is intersected

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Error Correction Using the CRC,re economic solution. A single-bit error can be corrected provided the CRC is long enough to describe every bit location within the protected part of the message, and that the CRC is based on a primitive generator polynomial. If the CRC is . bits, then the total protected message length (i.e. includ

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Augmenting Error Codes,ironment if it is to be effective. Not only this but there are some relatively simple steps that can be included in the coding which have a truly profound impact on the end performance that is achieved, often at relatively little cost. In this chapter some of these strategies will be examined, along

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Convolutional Coding,ck codes the data are compiled into blocks prior to encoding and transmission and must be subsequently recompiled into blocks for decoding and error correction. The second strategy is called . or . coding. Here data may be error encoded on a continuous basis without the need for compilation into blo