On the synthesis of MVL functions using input and output phase assignments

M. Abd-El-Barr, M. N. Hasan, G. A. Hamid
{"title":"On the synthesis of MVL functions using input and output phase assignments","authors":"M. Abd-El-Barr, M. N. Hasan, G. A. Hamid","doi":"10.1109/ISMVL.1997.601407","DOIUrl":null,"url":null,"abstract":"In this paper, a number of decomposition based mapping techniques are proposed. In these techniques, the synthesis problem is formulated as a mapping from an input matrix to an output matrix. The minimization is obtained by constructing a matching-count matrix. The entries of the matching-count matrix MC/sub i,j/ represent the number of entry matches between the input variable number i in the input matrix (X) and the output function number j in the output matrix (Y). It then selects those input-output pairings that give the maximum matching count, thus maximizing the number of switching operations which can be eliminated in the realization of MVL functions. The proposed techniques are classified as: output-phase with complement, input-phase with and without complement. Numerical results are presented to show that the proposed techniques result in significant reduction in the number of switching operators required for the implementation of 5000 randomly generated r-valued functions (for r=3, 4, and 5).","PeriodicalId":206024,"journal":{"name":"Proceedings 1997 27th International Symposium on Multiple- Valued Logic","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 1997 27th International Symposium on Multiple- Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.1997.601407","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

In this paper, a number of decomposition based mapping techniques are proposed. In these techniques, the synthesis problem is formulated as a mapping from an input matrix to an output matrix. The minimization is obtained by constructing a matching-count matrix. The entries of the matching-count matrix MC/sub i,j/ represent the number of entry matches between the input variable number i in the input matrix (X) and the output function number j in the output matrix (Y). It then selects those input-output pairings that give the maximum matching count, thus maximizing the number of switching operations which can be eliminated in the realization of MVL functions. The proposed techniques are classified as: output-phase with complement, input-phase with and without complement. Numerical results are presented to show that the proposed techniques result in significant reduction in the number of switching operators required for the implementation of 5000 randomly generated r-valued functions (for r=3, 4, and 5).
用输入和输出相位赋值法合成MVL函数
本文提出了一些基于分解的映射技术。在这些技术中,综合问题被表述为从输入矩阵到输出矩阵的映射。通过构造一个匹配计数矩阵来实现最小化。匹配计数矩阵MC/sub i,j/的条目表示输入矩阵(X)中的输入变量数i与输出矩阵(Y)中的输出函数数j之间的条目匹配次数,然后选择匹配计数最大的输入输出对,从而最大限度地减少在MVL函数实现中可以消除的切换操作次数。提出的技术分为:输出阶段与互补,输入阶段与不互补。数值结果表明,所提出的技术显著减少了实现5000个随机生成的r值函数(对于r= 3,4,5)所需的切换算子的数量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信