LDPC Code Designs, Constructions, and Unification

In this book, leading authorities unify algebraic- and graph-based LDPC code designs and constructions into a single theoretical framework.

Juane Li (Author), Shu Lin (Author), Khaled Abdel-Ghaffar (Author), William E. Ryan (Author), Daniel J. Costello, Jr (Author)

9781107175686, Cambridge University Press

Hardback, published 1 December 2016

259 pages, 57 b/w illus. 8 tables
25.3 x 18 x 1.6 cm, 0.66 kg

'A book from the leaders in the field of error-correcting codes. Superposition - a unified framework for low-density parity check code construction - makes a description of codes of various classes rather simple.' Bane Vasic, University of Arizona, Tucson

Written by leading experts, this self-contained text provides systematic coverage of LDPC codes and their construction techniques, unifying both algebraic- and graph-based approaches into a single theoretical framework (the superposition construction). An algebraic method for constructing protograph LDPC codes is described, and entirely new codes and techniques are presented. These include a new class of LDPC codes with doubly quasi-cyclic structure, as well as algebraic methods for constructing spatially and globally coupled LDPC codes. Authoritative, yet written using accessible language, this text is essential reading for electrical engineers, computer scientists and mathematicians working in communications and information theory.

1. Introduction
2. Definitions, concepts, and fundamental characteristics of LDPC codes
3. A review of PTG-based construction of LDPC codes
4. An algebraic method for constructing QC-PTG-LDPC codes and code ensembles
5. Superposition construction of LDPC codes
6. Construction of base matrices and RC-constrained replacement sets for the SP-construction
7. SP-construction of QC-LDPC codes using matrix dispersion and masking
8. Doubly QC-LDPC codes
9. SP-construction of spatially coupled QC-LDPC codes
10. Globally coupled QC-LDPC codes
11. SP-construction of nonbinary LDPC codes
12. Conclusion and remarks.

Subject Areas: Communications engineering / telecommunications [TJK], Information theory [GPF]