Channel Codes: Classical and Modern

Channel coding lies at the heart of digital communication and data storage. Fully updated, including a new chapter on polar codes, this detailed introduction describes the core theory of channel coding, decoding algorithms, implementation details, and performance analyses. This new edition includes over 50 new end-of-chapter problems and new figures and worked examples throughout. The authors emphasize the practical approach and present clear information on modern channel codes, including turbo and low-density parity-check (LDPC) codes, detailed coverage of BCH codes, Reed-Solomon codes, convolutional codes, finite geometry codes, product codes as well as polar codes for error correction and detection, providing a one-stop resource for classical and modern coding techniques. Assuming no prior knowledge in the field of channel coding, the opening chapters begin with basic theory to introduce newcomers to the subject. Later chapters then extend to advanced topics such as code ensemble performance analyses and algebraic code design.

Table of Contents:
1. Coding and Capacity; 2. Finite Fields, Vector Spaces, Finite Geometries, and Graphs; 3. Linear Block Codes; 4. Convolutional Codes; 5. Low-Density Parity-Check Codes; 6. Computer-Based Design of LDPC Codes; 7. Turbo Codes; 8. Ensemble Enumerators for Turbo and LDPC Codes; 9. Ensemble Decoding Thresholds for LDPC and Turbo Codes; 10. Polar Codes; 11. Finite-Geometry LDPC Codes; 12. Constructions of LDPC Codes Based on Finite Fields; 13. LDPC Codes Based on Combinatorial Designs, Graphs, and Superposition; 14. LDPC Codes for Binary Erasure Channels; 15. Nonbinary LDPC Codes.

About the Author :
William E. Ryan is a Senior Associate at Zeta Associates, a Lockheed-Martin company, where he designs communication waveforms and their receivers for difficult channels. Dr. Ryan has published approximately 150 journal and conference papers on channel codes and channel equalization for data communication and magnetic storage. He has also co-authored several book chapters and a graduate-level textbook, including the first edition of Channel Codes: Classical and Modern. He was an Associate Editor for the IEEE Transactions on Communications from 1998 through 2005. He is a Fellow of the IEEE for his work in coding for communication and storage. Shu Lin is an Adjunct Professor in the Department of Electrical and Computer Engineering, University of California, Davis, and has been on the faculties of University of Hawaii and Texas A&M University. He has authored and co-authored numerous technical papers and several books, including the successful Error Control Coding with Daniel J. Costello. He is an IEEE Life Fellow and has received several awards, including the Alexander von Humboldt Research Prize for U.S. Senior Scientists (1996) and the IEEE Third-Millenium Medal (2000). He holds a NASA service award and has won the 2020 IEEE Leon Kirchmayer Graduate Teaching Award. Stephen G. Wilson is Professor Emeritus of Electrical and Computer Engineering at University of Virginia, where he was on the faculty from 1976 to 2019. He taught courses and conducted research in digital communication systems, especially as relates to error control coding. He is the author of the textbook Digital Modulation and Coding (1995) and he has presented approximately 150 technical papers in this field. He served as Area Editor for Coding Techniques for IEEE Transactions on Communications. He consults to several industrial organizations in the areas of communication system analysis and digital signal processing.

Review :
'This well-written volume is by three experienced coding theorists who have contributed so much to coding theory over the past few decades. While the volume covers classical algebraic coding theory, it has an emphasis on modern coding such as polar codes, turbo codes, and in particular the very important low-density parity check (LDPC) codes. The focus of the work is on the structure and practical aspects of implementing LDPC codes, and the numerous ways to decode them. It is unique in the very large number of error performance curves given, which are so effective in illustrating the theoretical issues raised for the various encoding/decoding techniques covered. It is a remarkable volume that is likely to become the standard reference both for professionals in industry implementing coded systems and as a graduate text.' Ian Blake, University of British Columbia 'The second edition of Channel Codes: Classical and Modern remains the single best source for a graduate course in coding theory, with enough material for two semesters. A new chapter on polar codes makes it the most up-to-date textbook in the field. It is both instructor and student friendly, with plenty of problems and illustrative examples. The authors are coding experts with an easy writing style, and their many years of experience, both academic and industrial, give the book a nice balance between theory and practice.' Daniel Costello, University of Notre Dame 'This is really an outstanding coding book, with most methods included.' John M. Cioffi, Stanford University