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CLC number: TP391

On-line Access: 2011-04-11

Received: 2010-06-12

Revision Accepted: 2010-11-30

Crosschecked: 2011-03-01

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Journal of Zhejiang University SCIENCE C 2011 Vol.12 No.4 P.288-296

http://doi.org/10.1631/jzus.C1000193


Reed-Muller function optimization techniques with onset table


Author(s):  Lun-yao Wang, Yin-shui Xia, Xie-xiong Chen, A. E. A. Almaini

Affiliation(s):  Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027, China, Faculty of Information Science and Engineering, Ningbo University, Ningbo 315211, China, School of Engineering, Napier University, Edinburgh EH10 5DT, UK

Corresponding email(s):   wanglunyao@nbu.edu.cn

Key Words:  Logic optimization, Reed-Muller functions, Multi-level, Mixed polarity, Onset table


Lun-yao Wang, Yin-shui Xia, Xie-xiong Chen, A. E. A. Almaini. Reed-Muller function optimization techniques with onset table[J]. Journal of Zhejiang University Science C, 2011, 12(4): 288-296.

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author="Lun-yao Wang, Yin-shui Xia, Xie-xiong Chen, A. E. A. Almaini",
journal="Journal of Zhejiang University Science C",
volume="12",
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pages="288-296",
year="2011",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.C1000193"
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%T Reed-Muller function optimization techniques with onset table
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%A Yin-shui Xia
%A Xie-xiong Chen
%A A. E. A. Almaini
%J Journal of Zhejiang University SCIENCE C
%V 12
%N 4
%P 288-296
%@ 1869-1951
%D 2011
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.C1000193

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T1 - Reed-Muller function optimization techniques with onset table
A1 - Lun-yao Wang
A1 - Yin-shui Xia
A1 - Xie-xiong Chen
A1 - A. E. A. Almaini
J0 - Journal of Zhejiang University Science C
VL - 12
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SP - 288
EP - 296
%@ 1869-1951
Y1 - 2011
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.C1000193


Abstract: 
By mapping a fixed polarity Reed-Muller (RM) expression into an onset table and studying the properties of the onset table, an algorithm is proposed to obtain a compact multi-level single-output mixed-polarity RM function by searching for and extracting the common variables using the onset table. Furthermore, by employing the multiplexer model, the algorithm is extended to optimize multi-level multi-output mixed-polarity RM forms. The proposed algorithm is implemented in C language and tested using some MCNC benchmarks. Experimental results show that the proposed algorithm can obtain a more compact RM form than that under fixed polarity. Compared with published results, the proposed algorithm makes a significant speed improvement, with a small increase in the number of literals.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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