REED-MULLER EXPANSIONS WITH FIXED AND MIXED POLARITIES OVER GF(4)

被引：26

作者：

GREEN, DH

机构：

[1] UMIST, Manchester

来源：

IEE PROCEEDINGS-E COMPUTERS AND DIGITAL TECHNIQUES | 1990年 / 137卷 / 05期

关键词：

D O I：

10.1049/ip-e.1990.0047

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

The representation of quaternary switching functions by means of Reed-Muller algebraic expansions described over the Galois field GF(4) is discussed. An evaluation of the cost, in terms of basic field operations, is given for performing the fundamental transforms and for searching for the optimum fixed polarity expansion. The existence of a very large number of consistent mixed polarity canonical forms is demonstrated and their basis vectors are listed.

引用

页码：380 / 388

页数：9

共 9 条

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[2]

Davio M., 1978, DISCRETE SWITCHING F

[3]

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[4]

Green D. H., 1976, Digital Processes, V2, P63

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GREEN, DH ;

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PROCEEDINGS OF THE INSTITUTION OF ELECTRICAL ENGINEERS-LONDON, 1974, 121 (06) :409-418

[6] REED-MULLER CANONICAL-FORMS WITH MIXED POLARITY AND THEIR MANIPULATIONS [J].

GREEN, DH .

IEE PROCEEDINGS-E COMPUTERS AND DIGITAL TECHNIQUES, 1990, 137 (01) :103-113

[7]

GREEN DH, 1989, INT J ELECTRON, V87, P761

[8] THE SIMPLE METHODS FOR EVALUATING THE COEFFICIENTS OF THE CANONICAL RM EXPANSION OF MULTIVALUED FUNCTIONS [J].

HU, Z .

INTERNATIONAL JOURNAL OF ELECTRONICS, 1987, 63 (06) :851-856

[9]

Zhang Y. Z., 1984, IEE Proceedings E (Computers and Digital Techniques), V131, P177, DOI 10.1049/ip-e.1984.0035

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