Trellis and turbo coding [[electronic resource] /] / Christian B. Schlegel, Lance C. Pérez

• Autore: Schlegel Christian
• Pubblicazione: Piscataway, NJ, : IEEE Press; Hoboken, NJ, : Wiley-Interscience, c2004
• Descrizione fisica: 1 online resource (402 p.)
• Disciplina: 621.382; 621.3822
• Soggetto topico: Error-correcting codes (Information theory); Trellis-coded modulation; Digital communications; Coding theory
• Altri autori: PerezLance
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: TRELLIS AND TURBO CODING; CONTENTS; Preface; 1 Introduction; 1.1 Modern Digital Communications; 1.2 The Rise of Digital Communications; 1.3 Communication Systems; 1.4 Error Control Coding; 1.5 Bandwidth, Power, and Complexity; 1.6 A Brief History-The Drive Toward Capacity; Bibliography; 2 Communication Theory Basics; 2.1 The Probabilistic Viewpoint; 2.2 Vector Communication Channels; 2.3 Optimum Receivers; 2.4 Matched Filters; 2.5 Message Sequences; 2.6 The Complex Equivalent Baseband Model; 2.7 Spectral Behavior; 2.8 Multiple Antenna Channels (MIMO Channels); Appendix 2.A; Bibliography ; 3 Trellis-Coded Modulation3.1 An Introductory Example; 3.2 Group-Trellis Codes; 3.3 The Mapping Function; 3.4 Construction of Codes; 3.5 Lattices; 3.6 Lattice Formulation of Trellis Codes; 3.7 Rotational Invariance; 3.8 V.fast; 3.9 Geometric Uniformity; 3.10 Historical Notes; Bibliography; 4 Convolutional Codes; 4.1 Convolutional Codes as Binary Trellis Codes; 4.2 Codes and Encoders; 4.3 Fundamental Theorems from Basic Algebra; 4.4 Systematic Encoders; 4.5 Systematic Feedback and Recursive Systematic Encoder Realizations; 4.6 Maximum Free-Distance Convolutional Codes; Appendix 4.A ; Bibliography5 Link to Block Codes; 5.1 Preliminaries; 5.2 Block Code Primer; 5.3 Trellis Description of Block Codes; 5.4 Minimal Trellises; 5.5 Minimum-Span Generator Matrices; 5.6 Construction of the PC Trellis; 5.7 Tail-Biting Trellises; 5.8 The Squaring Construction and the Trellis of Lattices; 5.9 The Construction of Reed-Muller Codes; 5.10 A Decoding Example; Bibliography; 6 Performance Bounds; 6.1 Error Analysis; 6.2 The Error Event Probability; 6.3 Finite-State Machine Description of Error Events; 6.4 The Transfer Function Bound; 6.5 Reduction Theorems; 6.6 Random Coding Bounds ; Appendix 6.AAppendix 6.B; Bibliography; 7 Decoding Strategies; 7.1 Background and Introduction; 7.2 Tree Decoders; 7.3 The Stack Algorithm; 7.4 The Fano Algorithm; 7.5 The M-Algorithm; 7.6 Maximum Likelihood Decoding; 7.7 A Posteriori Probability Symbol Decoding; 7.8 Log-APP and Approximations; 7.9 Random Coding Analysis of Sequential Decoding; 7.10 Some Final Remarks; Appendix 7.A; Bibliography; 8 Factor Graphs; 8.1 Factor Graphs: Introduction and History; 8.2 Graphical Function Representation; 8.3 The Sum-Product Algorithm; 8.4 Iterative Probability Propagation ; 8.5 The Factor Graph of Trellises8.6 Exactness of the Sum-Product Algorithm for Trees; 8.7 Binary Factor Graphs; Variable Node Messages; Parity-Check Node Messages; Log Likelihood Ratio (LLR); LLR Variable Node Messages; LLR Check Node Messages; 8.8 Normal Factor Graphs; Symbol Variable Replication; State Variable Replication; Bibliography; 9 Low-Density Parity-Check Codes; 9.1 Introduction; 9.2 LDPC Codes and Graphs; 9.3 Message Passing Decoding Algorithms; 9.4 Density Evolution; 9.5 Density Evolution for Binary Erasure Channels; 9.6 Binary Symmetric Channels and the Gallager Algorithms ; 9.7 The AWGN Channel
• Sommario/riassunto: Trellis and turbo coding are used to compress and clean communications signals to allow greater bandwidth and clarityPresents the basics, theory, and applications of these techniques with a focus on potential standard state-of-the art methods in the futureProvides a classic basis for anyone who works in the area of digital communications A Wiley-IEEE Press Publication
• Titolo autorizzato: Trellis and turbo coding
• ISBN: 1-280-34600-0; 9786610346004; 0-471-66783-8; 1-60119-385-8; 0-471-66784-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910145767803321
• Lo trovi qui: Univ. Federico II
• Serie: IEEE series on mobile & digital communication.