In this paper we describe the construction method of a family of irregular rate-compatible low-density parity-check (LDPC) codes by a combination of puncturing and extending techniques. In particular, we introduce a suitable structure for the extended parity-check matrices which preserves the structure of LDPC codes during extensions. Based on this construction, a family of efficient rate-compatible linear-time encodable codes are generated from an optimized irregular mother code of rate 8/13 and information block length k=1024. The rates of the codes vary from 8/10 to 8/19 and employing them in a type-II hybrid ARQ scheme results in a throughput which is only 0.7 dB away from Shannon limit. This improves over the existing schemes based on turbo codes and LDPC codes by up to 0.5 dB.

Extending, Hybrid ARQ schemes, Iterative coding schemes, Puncturing, Rate-compatible low-density parity-check (RC-LDPC) codes
Canadian Conference on Electrical and Computer Engineering; Technology Driving Innovation, 2004
Department of Systems and Computer Engineering

Yazdani, M. (Mohammadreza), & Banihashemi, A. (2004). Irregular rate-compatible LDPC codes for capacity-approaching hybrid-ARQ schemes. In Canadian Conference on Electrical and Computer Engineering (pp. 303–306).