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A Near Maximum-Likelihood Soft-Decision Decoding Algorithm For Reed-Solomon Codes
Thesis

A Near Maximum-Likelihood Soft-Decision Decoding Algorithm For Reed-Solomon Codes

Wu, Jyun-Han
Masters, 國立清華大學, 電機工程學系
2016

Abstract

錯誤更正碼 里德所羅門碼 軟式解碼 信度傳播 消息動態排程 位元翻轉 error-control codes Reed-Solomon codes soft-decision decoding belief propagation informed-dynamic scheduling bit-flipping
This paper, proposes an iterative soft-decision decoding algorithm for Reed-Solomon (RS) codes. The proposed decoding algorithm combines the concepts of adapting the parity-check matrix, informed dynamic scheduling, and bit-flipping decoding. The parity-check matrix is re-arranged before each iteration, where the systematic part is mapped to the least reliable bits, consequently reducing their influence on the other bits. Using dynamic scheduling, the more important decoding messages are updated to these least reliable bits, meaning that the majority of the error bits with low reliability can be corrected. Finally, bit-flipping decoding is applied to the most reliable bits, thereby solving the remaining error bits that have a high reliability. When the proposed integrated decoding is applied to a (255, 239) RS code, the difference between its frame error rate performance (FER) and the maximum-likelihood (ML) bound can be reduced to 0.25 dB, and a gain of more than 0.4 dB is achieved compared to all the previously recorded soft-decision decoding for RS codes.

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