The Study of New RS Decoders and RS Turbo Product Codes
博士 === 長庚大學 === 電機工程學系 === 105 === In this dissertation, we discuss four types of decoding over (2^m-1,2^m-4) Reed-Solomon (RS) code, and investigate the solutions for finding error locations and error values. Moreover, an algorithm for correcting both an error and an erasure of (2^m,2^m-3) extended...
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ndltd-TW-105CGU054420082019-06-27T05:26:43Z http://ndltd.ncl.edu.tw/handle/wg7423 The Study of New RS Decoders and RS Turbo Product Codes 新式RS解碼器及RS渦輪乘積碼之研究 Chih Wen Shih 施志文 博士 長庚大學 電機工程學系 105 In this dissertation, we discuss four types of decoding over (2^m-1,2^m-4) Reed-Solomon (RS) code, and investigate the solutions for finding error locations and error values. Moreover, an algorithm for correcting both an error and an erasure of (2^m,2^m-3) extended RS codes is proposed. Using the algorithm, error locations and error values can be found by skipping the procedures of determining error location polynomial, finding the roots and calculating the deviation of error location polynomial. In addition, a new decoder for RS codes is proposed. The decoder can correct both errors and erasures without computing the erasure locator, errata locator or errata evaluator polynomials, the computational complexity can be substantially reduced. Herein, complexity comparisons between the proposed decoder and the Truong-Jeng-Hung and Lin-Costello decoders are presented. The (255, 223) and (63, 39) RS codes are used as examples for complexity comparisons under the upper bounded condition of 2v+mu=d_min-1. The new decoder can save about 40% additions and multiplications when mu=d_min-1 as compared with the two related decoders. Furthermore, it can also save 50% of the required inverses for 0<=mu<=d_min-1. Finally, applying above algorithms, a non-sequential decoding algorithm and an alternative hard-decision decoding algorithm are proposed for (2^m-1,2^m-5)^2 RS turbo product codes (TPCs). Simulation results show that the proposed algorithms have extra coding gain compared to general RS TPCs decoding. E. H. Lu T. C. Chen 盧而輝 陳作舟 2016 學位論文 ; thesis 88 en_US |
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博士 === 長庚大學 === 電機工程學系 === 105 === In this dissertation, we discuss four types of decoding over (2^m-1,2^m-4) Reed-Solomon (RS) code, and investigate the solutions for finding error locations and error values. Moreover, an algorithm for correcting both an error and an erasure of (2^m,2^m-3) extended RS codes is proposed. Using the algorithm, error locations and error values can be found by skipping the procedures of determining error location polynomial, finding the roots and calculating the deviation of error location polynomial.
In addition, a new decoder for RS codes is proposed. The decoder can correct both errors and erasures without computing the erasure locator, errata locator or errata evaluator polynomials, the computational complexity can be substantially reduced. Herein, complexity comparisons between the proposed decoder and the Truong-Jeng-Hung and Lin-Costello decoders are presented. The (255, 223) and (63, 39) RS codes are used as examples for complexity comparisons under the upper bounded condition of 2v+mu=d_min-1. The new decoder can save about 40% additions and multiplications when mu=d_min-1 as compared with the two related decoders. Furthermore, it can also save 50% of the required inverses for 0<=mu<=d_min-1.
Finally, applying above algorithms, a non-sequential decoding algorithm and an alternative hard-decision decoding algorithm are proposed for (2^m-1,2^m-5)^2 RS turbo product codes (TPCs). Simulation results show that the proposed algorithms have extra coding gain compared to general RS TPCs decoding.
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E. H. Lu |
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E. H. Lu Chih Wen Shih 施志文 |
author |
Chih Wen Shih 施志文 |
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Chih Wen Shih 施志文 The Study of New RS Decoders and RS Turbo Product Codes |
author_sort |
Chih Wen Shih |
title |
The Study of New RS Decoders and RS Turbo Product Codes |
title_short |
The Study of New RS Decoders and RS Turbo Product Codes |
title_full |
The Study of New RS Decoders and RS Turbo Product Codes |
title_fullStr |
The Study of New RS Decoders and RS Turbo Product Codes |
title_full_unstemmed |
The Study of New RS Decoders and RS Turbo Product Codes |
title_sort |
study of new rs decoders and rs turbo product codes |
publishDate |
2016 |
url |
http://ndltd.ncl.edu.tw/handle/wg7423 |
work_keys_str_mv |
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