tailieunhanh - Non-binary LDPC codes vs. Reed-solomon codes

This paper investigates the potential of non-binary LDPC codes to replace widely used Reed-Solomon (RS) codes for applications in communication and storage systems for combating mixed types of noise and interferences. The investigation begins with presentation of four algebraic constructions of RS-based non-binary quasi-cyclic (QC)-LDPC codes. Then, the performances of some codes constructed based on the proposed methods with iterative decoding are compared with those of RS codes of the same lengths and rates decoded with the harddecision Berlekamp-Massey (BM)-algorithm and the algebraic soft-decision Kotter-Vardy (KV)-algorithm over both the AWGN ¨ and a Rayleigh fading channels. Comparison shows that the constructed non-binary QC-LDPC codes significantly outperform their corresponding RS codes decoded with either the BMalgorithm or the KV-algorithm. | ResearchGate See discussions stats and author profiles for this publication at https publication 4363916 Non-binary LDPC codes vs. Reed-Solomon codes Conference Paper January 2008 DOI Source IEEE Xplore CITATIONS 18 READS 454 7 authors including Li Zhang University of California Davis 11 PUBLICATIONS 150 CITATIONS SEE PROFILE Jingyu Kang University of California Davis 22 PUBLICATIONS 568 CITATIONS SEE PROFILE Qin Huang Beihang University BUAA 78 PUBLICATIONS 861 CITATIONS SEE PROFILE Shu Lin University of California Davis 403 PUBLICATIONS 18 231 CITATIONS SEE PROFILE Some of the authors of this publication are also working on these related projects Project Globally-coupled low-density parity check code View project Project Soft-decision decoding of Reed-Solomn and BCH codes Patial geometries Soft-decision Reed-Muller codes View project All content following this page was uploaded by Shu Lin on 03 March 2014. The user has requested enhancement of the downloaded file. Non-Binary LDPC Codes vs. Reed-Solomon Codes Bo Zhou Li Zhang Jingyu Kang Qin Huang Ying Y. Tai and Shu Lin Department of Electrical and Computer Engineering University of California Davis Davis CA 95616 Email bozhou liszhang jykang qinhuang shulin@ Meina Xu Northrop Grumman Space Technology One Space Park Redondo Beach CA 90278 Email Abstract This paper investigates the potential of non-binary LDPC codes to replace widely used Reed-Solomon RS codes for applications in communication and storage systems for combating mixed types of noise and interferences. The investigation begins with presentation of four algebraic constructions of RS-based non-binary quasi-cyclic QC -LDPC codes. Then the performances of some codes constructed based on the proposed methods with iterative decoding are compared with those of RS codes of the same lengths and rates decoded with theLhard-decision Berlekamp-Massey BM -algorithm and the algebraic .