LDPC Code Designs, Constructions, and Unification
LDPC Code Designs, Constructions, and Unification
Shu Lin, University of California, Davis
Khaled Abdel-Ghaffar, University of California, Davis
William E. Ryan, Zeta Associates, Colorado
Daniel J. Costello, Jr, University of Notre Dame, Indiana
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.
- Unifies algebraic- and graph-based code designs and constructions into a single theoretical framework
- Presents an entirely new class of LDPC codes, as well as new algebraic methods for LDPC code construction
- A self-contained text written using accessible language
Reviews & endorsements
'This book provides an in-depth survey of recently developed quasi-cyclic LDPC codes. It is a treasured reference on practical channel coding methods for both theorists and practitioners working in communications and information theory.' Lara Dolecek, University of California, Los Angeles
'The importance of LDPC codes in numerous applications and their capacity-approaching performance has led to an explosion in research into their construction and analysis over the past decade. The numerous effective constructions of them can be broadly classified as algebraic and graphical, including the important superposition, protograph and spatial coupling techniques. This timely volume explains, unifies and greatly clarifies these diverse approaches and lays a solid foundation that will be invaluable to researchers, practitioners and students alike.' Ian F. Blake, University of British Columbia, Vancouver
'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
Product details
No date availableAdobe eBook Reader
9781316814666
0 pages
0kg
57 b/w illus. 8 tables
Table of Contents
- 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.
