NDLI: Novel Interpolation and Polynomial Selection for Low-Complexity Chase Soft-Decision Reed-Solomon Decoding

Content Provider	IEEE Xplore Digital Library
Author	Xinmiao Zhang Yingquan Wu Jiangli Zhu Yu Zheng
Copyright Year	1993
Abstract	Algebraic soft-decision decoding (ASD) of Reed-Solomon (RS) codes can achieve substantial coding gain with polynomial complexity. Particularly, the low-complexity Chase (LCC) ASD decoding has better performance-complexity tradeoff. In the LCC decoding, 2^η test vectors need to be interpolated over, and a polynomial selection scheme needs to be employed to select one interpolation output to send to the rest decoding steps. The interpolation and polynomial selection can account for a significant part of the LCC decoder area, especially in the case of long RS codes and large η . In this paper, simplifications are first proposed for a low-complexity polynomial selection scheme. Then a novel interpolation scheme is developed by making use of the simplified polynomial selection. Instead of interpolating over each vector, our scheme first generates information necessary for the polynomial selection. Then only the selected vectors are interpolated over. The proposed interpolation and polynomial selection schemes can lead to 162% higher efficiency in terms of throughput-over-area ratio for an example LCC decoder with η = 8 for a (458, 410) RS code over GF(2¹⁰).
Sponsorship	IEEE Computer Society Association for Computing Machinery (ACM)/SIGDA IEEE Computer Society Technical Committee on Design Automation
Starting Page	1318
Ending Page	1322
Page Count	5
File Size	347589
File Format	PDF
ISSN	10638210
Volume Number	20
Issue Number	7
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Interpolation Decoding Polynomials Complexity theory Reed-Solomon codes Hardware Computer architecture VLSI design Algebraic soft-decision decoding (ASD) interpolation polynomial selection Reed-Solomon (RS) codes
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering Software Hardware and Architecture

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