Spatially Coupled LDPC Codes Constructed by Parallelly Connecting Multiple Chains

• Published in: IEEE communications letters Vol. 19; no. 9; pp. 1472 - 1475
• Main Authors: Liu, Yang, Li, Ying, Chi, Yuhao
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.09.2015; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Channels; Complexity theory; Construction; Convolutional codes; Couplings; Decoding; Density; density evolution; Design methodology; Error correcting codes; Evolution; Exchange; Iterative decoding; iterative decoding thresholds; Joining; Joining processes; Spatially coupled LDPC codes; Thresholds; Spatially coupled LDPC codes; density evolution; iterative decoding thresholds
• ISSN: 1089-7798; 1558-2558
• DOI: 10.1109/LCOMM.2015.2448090

A particular class of spatially coupled low-density parity-check (SC-LDPC) codes are constructed by parallelly connecting multiple different coupled chains. The connection structure is realized by edge exchanges between adjacent chains, which can help these chains support each other and improve the iterative decoding thresholds. By varying the number of the connected chains and the degree of each chain, a family of SC-LDPC codes with wide rate range can be obtained. Density evolution analysis shows that the decoding thresholds of the proposed codes are very close to Shannon limits and are slightly better than that constructed by a single chain over the binary erasure channel.