Generalized LDPC Codes and Turbo-Product Codes with Reed-Muller Component Codes

摘要

A forward error correction (FEC) scheme based on generalized low-density parity-check (GLDPC) codes can improve overall characteristics of LDPC codes by decreasing the decoding complexity. We consider the GLDPC codes with Reed-Muller (RM) and Bose-Chaudhuri-Hocquenghem (BCH) component codes. GLDPC codes with RM codes as component codes is an attractive option for high-speed applications, such as optical communications, because they provide excellent coding gains, while the RM codes can be decoded using low-complexity maximum a posteriori probability (MAP) decoding algorithm due to Ashikhmin and Lytsin, based on Walsh-Hadamard transform. Several classes of GLDPC codes (with component RM or BCH codes) outperforming the turbo product codes are presented. Several turbo product codes suitable for use in high-speed transmission are identified as well.