| Description |
1 online resource (xviii, 732 pages) : illustrations |
| Series |
Signals and Communication Technology, 1860-4862 |
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Signals and communication technology.
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| Contents |
Preface; Contents; Acronyms; Part I Generator Matrix; 1 Generator Matrix Approach to Linear Block Codes; 1.1 Additive n x n Linear Transformation of a Binary Sequence; 1.2 Generator Matrix G of a Linear Block Code; 1.3 Polynomial Description of the Generator Matrix in a Linear Block Code; 1.4 Properties of a Linear Block Code Derived from the Structural Characteristics of g(x); 1.5 Systematic Encoder Circuit; 1.6 Code Concatenation: Effects on G Matrix; 1.7 Code Puncturation: Effects on G Matrix; 1.8 Cyclic Block Codes; 1.9 Enumeration of all the Possible Cyclic Codes of Length N |
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1.10 Shortened Cyclic (SC) Codes1.11 Lengthened Cyclic (LC) Codes; 1.12 Subcode of an s.s. Time-Invariant Polynomial Code; 1.13 Modified Lengthened Cyclic (MLC) Codes; 1.14 State Diagrams; 1.15 Direct Product Codes; 1.16 Generator Matrix of a Direct Product Code; 1.17 Direct Product Codes as MLC Codes; 1.18 Interpretation of Particular Direct Product Codes by Means of GPC Codes; 1.19 Cyclic and Pseudo-Cyclic Codes in a Non-binary Alphabet; 1.20 Q-ary State Diagrams; 1.21 Main Families of Non-binary Block Codes; 1.22 Reed-Solomon Codes and Other MDS Non-binary Codes |
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1.23 Trellis for an s.s. Time-Invariant Block Code Obtained from Its Generator MatrixReferences; 2 Wide-Sense Time-Invariant Block Codes in Their Generator Matrix; 2.1 Periodically Time-Varying Generator Matrix; 2.2 Quasi-Cyclic Codes (QC) as a Widening in the Concept of Cyclic Codes; 2.3 Quasi-Cyclic Codes with Distributed Control Symbols Described with Their G Matrix; 2.4 Representation of Known Block Codes as QC Codes with Distributed Control Symbols; 2.5 Relation Between Some Binary QC-Codes and Cyclic or Pseudo-Cyclic Codes in a Q-Ary Alphabet |
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2.6 Encoder Circuits Based on the G Matrix for a QC Code2.7 Shortened Quasi-Cyclic (SQC) Codes; 2.8 Lengthened Quasi-Cyclic (LQC) Codes; 2.9 Subcode of a w.s. Time-Invariant Polynomial Code; 2.10 Modified Lengthened Quasi-Cyclic (MLQC) Codes; 2.11 Trellis for a w.s. Time-Invariant Block Code Obtained from Its Generator Matrix; References; 3 Generator Matrix Approach to s.s. Time-Invariant Convolutional Codes; 3.1 Traditional View of Non-systematic s.s. Time-Invariant Convolutional Codes; 3.2 State Diagram and Minimum Distance; 3.3 Systematic Convolutional Codes |
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3.4 Low-Rate Convolutional Codes3.5 High-Rate Punctured Convolutional Codes; 3.6 Recursive Systematic Convolutional (RSC) Codes; 3.7 Equivalence Between MLC Codes and s.s. Time-Invariant Convolutional Codes; 3.8 Strict-Sense Time-Invariant High-Rate Convolutional (MLC) Codes; 3.9 A First Bridge Between Cyclic Block Codes and s.s. Time-Invariant Convolutional Codes; 3.10 Tail-Biting s.s. Time-Invariant Convolutional Codes; 3.11 Trellis of an s.s. Time-Invariant Convolutional Code Obtained from Its Generator Matrix; References |
| Summary |
Numerous examples and indexed definitions make this detailed guide to polynomial theory in error-correcting codes a highly accessible resource. New codes and a unitary approach to block and convolutional codes will enhance readers' understanding of the topic |
| Analysis |
engineering |
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beeldverwerking |
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image processing |
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spraak |
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speech |
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wiskunde |
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mathematics |
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veeltermen |
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polynomials |
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Engineering (General) |
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Techniek (algemeen) |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed December 17, 2014) |
| Subject |
Error-correcting codes (Information theory)
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Polynomials.
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Algebra.
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Algorithms & data structures.
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Imaging systems & technology.
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COMPUTERS -- Data Processing.
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Error-correcting codes (Information theory)
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Polynomials
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| Form |
Electronic book
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| ISBN |
9783319017273 |
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3319017276 |
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