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Codes for Error Control and Synchronization : Communication & electronic defence library - Djimitri Wiggert

Codes for Error Control and Synchronization

Communication & electronic defence library

Hardcover

Published: 19th August 1998
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Prefacep. ix
Introduction and Overviewp. 1
Generalp. 1
Overview of the Bookp. 2
Model of a Communication Systemp. 3
Communication Theory Considerationsp. 9
Introductionp. 9
Binary Antipodal Signalingp. 9
Bits, Bauds, Symbols, and Chipsp. 16
Demodulator Limit on Coding Gainp. 17
Conclusionp. 18
Introduction to Parity-Check Codesp. 21
Introductionp. 21
Why Study Abstract Algebra?p. 21
Properties of Mathematical Systemsp. 22
Groupsp. 22
Fields and Vector Spacesp. 23
Linear Codesp. 28
The Concept of Distancep. 34
Basic Results in Word Error Probabilityp. 37
Decoding Proceduresp. 39
The Standard Array and Syndrome Decodingp. 42
The Golay Code and Related Mattersp. 45
Errors versus Erasuresp. 46
Abstract Algebra and Cyclic Codesp. 47
Introductionp. 47
Properties of Polynomials over a Fieldp. 47
Some Properties of Galois Fieldsp. 50
Introduction to Cyclic Codesp. 53
Encoding Cyclic Codesp. 57
Bose-Chaudhuri-Hocquenghem and Reed-Solomon Codesp. 61
Introductionp. 61
Definition, Construction, and Properties of BCH Codesp. 62
Decodingp. 65
Performance of BCH Codesp. 69
Reed-Solomon Codesp. 70
Convolutional Codes and Encodingp. 75
Convolutional Encodingp. 75
Graphical Representation of Convolutional Codesp. 80
Analytical Representation of Convolutional Codesp. 85
Distance Propertiesp. 91
Distance Bounds for Convolutional Codesp. 93
Known Good Convolutional Codesp. 95
Nonbinary Convolutional Codesp. 108
Threshold Decodingp. 111
Introductionp. 111
Orthogonal Parity-Check Equationsp. 113
The Threshold Decoding Algorithmp. 117
Error Propagation: Analysis and Preventionp. 120
Performance Assessmentp. 121
The Viterbi Decoding Algorithmp. 125
Introductionp. 125
Decoder Operationp. 128
Decoder Parametersp. 132
Soft Decisionsp. 133
Simulation and Implementation Resultsp. 133
Assessment and Conclusionsp. 135
Sequential Decodingp. 137
Introductionp. 137
A Fundamental Limit on Sequential Decodingp. 138
Sequential Decoding: General Techniquep. 139
The Fano Sequential Decoding Algorithmp. 141
"Stack" Decodingp. 147
Decoder Parametersp. 151
Summary and Conclusionsp. 152
Coding to Combat Impulse Noisep. 153
Introductionp. 153
Coding with Feedbackp. 154
Interleavingp. 157
Burst-Correcting Block Codesp. 160
Burst Correction with Convolutional Codesp. 163
Code Combiningp. 166
Summaryp. 168
Applications and Trade-Off Analysesp. 169
Introductionp. 169
Example #1: A Floating Data-Collection Platformp. 170
Example #2: Satellite and Space Communicationp. 172
Synchronization Codesp. 175
Backgroundp. 175
Scope of the Chapterp. 176
PN Codesp. 177
Barker Codesp. 180
Introduction to Matricesp. 183
Definitions and Notationp. 183
Elementary Operations on Matricesp. 184
Calculation of the Inversep. 187
Reduction to Triangular Formp. 190
Bibliographyp. 195
Indexp. 201
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780890061664
ISBN-10: 0890061661
Series: Communication & electronic defence library
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 216
Published: 19th August 1998
Publisher: Artech House Publishers
Country of Publication: US
Dimensions (cm): 22.9 x 15.2  x 1.5
Weight (kg): 0.49