Reduced-Complexity Reed-Solomon Decoders Based on Cyclotomic FFTs

被引:15
|
作者
Chen, Ning [1 ]
Yan, Zhiyuan [1 ]
机构
[1] Lehigh Univ, Dept Elect & Comp Engn, Bethlehem, PA 18015 USA
基金
美国国家科学基金会;
关键词
Common subexpression elimination (CSE); decoding; discrete Fourier transforms; Galois fields; Reed-Solomon codes; FOURIER-TRANSFORM; POLYNOMIALS; COMPUTATION; ERASURES; ERRORS; ROOTS;
D O I
10.1109/LSP.2009.2014292
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, we reduce the computational complexities of partial and dual partial cyclotomic FFTs (CFFTs), which are discrete Fourier transforms where spectral and temporal components are constrained, based on their properties as well as a common subexpression elimination algorithm. Our partial CFFTs achieve smaller computational complexities than previously proposed partial CFFTs. Utilizing our CFFTs in both transform- and time-domain Reed-Solomon decoders, we achieve significant complexity reductions.
引用
收藏
页码:279 / 282
页数:4
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