Todd K. Moon

Error Correction Coding (eBook, PDF)

Mathematical Methods and Algorithms

• Format: PDF

Produktbeschreibung

Providing in-depth treatment of error correction Error Correction Coding: Mathematical Methods and Algorithms, 2nd Edition provides a comprehensive introduction to classical and modern methods of error correction. The presentation provides a clear, practical introduction to using a lab-oriented approach. Readers are encouraged to implement the encoding and decoding algorithms with explicit algorithm statements and the mathematics used in error correction, balanced with an algorithmic development on how to actually do the encoding and decoding. Both block and stream (convolutional) codes are discussed, and the mathematics required to understand them are introduced on a "just-in-time" basis as the reader progresses through the book. The second edition increases the impact and reach of the book, updating it to discuss recent important technological advances. New material includes: * Extensive coverage of LDPC codes, including a variety of decoding algorithms * A comprehensive introduction to polar codes, including systematic encoding/decoding and list decoding * An introduction to fountain codes * Modern applications to systems such as HDTV, DVBT2, and cell phones Error Correction Coding includes extensive program files (for example, C++ code for all LDPC decoders and polar code decoders), laboratory materials for students to implement algorithms, and an updated solutions manual, all of which are perfect to help the reader understand and retain the content. The book covers classical BCH, Reed Solomon, Golay, Reed Muller, Hamming, and convolutional codes which are still component codes in virtually every modern communication system. There are also fulsome discussions of recently developed polar codes and fountain codes that serve to educate the reader on the newest developments in error correction.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 992
• Erscheinungstermin: 7. Dezember 2020
• Englisch
• ISBN-13: 9781119567486
• Artikelnr.: 60739475

Autorenporträt

TODD K. MOON is a Professor in the Electrical and Computer Engineering Department at Utah State University. His research interests include information systems (communications, signal processing, and controls) and the application of principles of mathematics to problems involving the transmission, extraction, modeling, compression, or analysis of signals. He is the author of numerous journal and conference articles and graduate level texts on signal processing and error correction coding.

Inhaltsangabe

Preface xvii

List of Program Files xxiii

List of Laboratory Exercises xxix

List of Algorithms xxxi

List of Figures xxxiii

List of Tables xli

List of Boxes xliii

About the Companion Website xlv

Part I Introduction and Foundations 1

1 A Context for Error Correction Coding 3

Part II Block Codes 69

2 Groups and Vector Spaces 71

3 Linear Block Codes 93

4 Cyclic Codes, Rings, and Polynomials 123

5 Rudiments of Number Theory and Algebra 179

6 BCH and Reed-Solomon Codes: Designer Cyclic Codes 241

7 Alternate Decoding Algorithms for Reed-Solomon Codes 299

8 Other Important Block Codes 371

9 Bounds on Codes 407

10 Bursty Channels, Interleavers, and Concatenation 425

11 Soft-Decision Decoding Algorithms 439

Part III Codes on Graphs 453

12 Convolutional Codes 455

13 Trellis-Coded Modulation 545

Part IV Iteratively Decoded Codes 589

14 Turbo Codes 591

15 Low-Density Parity-Check Codes: Introduction, Decoding, and Analysis 637

16 Low-Density Parity-Check Codes: Designs and Variations 717

Part V Polar Codes 777

17 Polar Codes 779

Part VI Applications 885

18 Some Applications of Error Correction in Modern Communication Systems 887

Part VII Space-Time Coding 899

19 Fading Channels and Space-Time Codes 901

References 925

Index 939