GLDPC Codes with Reed-Muller Component Codes Suitable for Optical Communications

Author

Djordjevic, Ivan B. ; Xu, Lei ; Wang, Ting ; Cvijetic, Milorad

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Arizona, Tucson, AZ

Volume

12

Issue

9

fYear

2008

fDate

9/1/2008 12:00:00 AM

Firstpage

684

Lastpage

686

Abstract

In this paper, we consider the GLDPC codes with Reed-Muller (RM) and Bose-Chaudhuri-Hocquenghem (BCH) codes as component codes. GLDPC codes with RM codes as component codes is an attractive option for high-speed optical transmission because they provide excellent coding gains, while the RM codes can be decoded using low-complexity maximum a posteriori probability (MAP) decoding based on fast Walsh-Hadamard transform. Several classes of GLDPC codes (with component RM or BCH codes) outperforming the turbo product codes in terms of decoding complexity and coding gain are presented. We also identify several turbo product codes suitable for use in optical communications.

Keywords

BCH codes; Hadamard transforms; Reed-Muller codes; Walsh functions; maximum likelihood decoding; optical communication; product codes; turbo codes; Bose-Chaudhuri-Hocquenghem codes; GLDPC codes; Reed-Muller component codes; decoding complexity; fast Walsh-Hadamard transform; high-speed optical transmission; low-complexity maximum a posteriori probability decoding; optical communications; turbo product codes; AWGN; Block codes; Equations; High speed optical techniques; Iterative decoding; National electric code; Optical devices; Optical fiber communication; Parity check codes; Product codes; BCH codes; Optical communications; Reed-Muller (RM) codes; Walsh-Hadamard transform; generalized low-density parity-check codes; turbo-product codes;

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2008.080590

Filename

4623779