NDLI: Multiple-valued generalized Reed-Muller forms

Content Provider	IEEE Xplore Digital Library
Author	Schafer, I. Perkowski, M.A.
Copyright Year	1991
Description	Author affiliation: Dept. of Electr. Eng., Portland State Univ., OR, USA (Schafer, I.; Perkowski, M.A.)
Abstract	The concept of canonical multiple-valued input generalized Reed-Muller forms (MIGRM), a direct extension of the well-known generalized Reed-Muller (GRM) forms for the logic with multiple-valued inputs, is introduced. Code normalization of single multiple-valued literals (MV-literal) to perform a final transformation is developed. The code normalization is used to make the transformation of the complete function independent on the polarity chosen. This simplifies and speeds up the main transformation step to the final restricted MIGRM form for the transformed single MV-literal. A computer program to realize the MIGRM transform for Boolean functions has been implemented. The direct circuit realization of MIGRMs as AND- EXOR programmable logic arrays with input decoders has excellent testability properties; they have applications to synthesis of other kinds of circuits with EXOR gates, such as the exclusive sums of products (ESOP), and they have image processing capabilities.
Starting Page	40
Ending Page	48
File Size	616939
Page Count	9
File Format	PDF
ISBN	0818621451
DOI	10.1109/ISMVL.1991.130703
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1991-05-26
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Programmable logic arrays Decoding Image coding Circuit synthesis Boolean functions Circuit testing Signal synthesis Application software Design automation Design for testability
Content Type	Text
Resource Type	Article

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