NDLI: Ternary Walsh Transform and Its Operations for Completely and Incompletely Specified Boolean Functions

Content Provider	IEEE Xplore Digital Library
Author	Falkowski, B.J. Shixing Yan
Copyright Year	2004
Abstract	The new ternary Walsh transform is considered in this paper. Such a ternary Walsh transform can be used in a similar manner as the standard Walsh transform for binary logic functions as shown here. It is based on the Kronecker product as well as the Galois field and new ternary operations. The same hardware implementation can be used for both forward and inverse ternary Walsh transforms based on its fast algorithms and properties. The ternary Walsh transform is suitable for processing both completely and incompletely specified Boolean functions. Its properties for the decomposition and symmetry detections of the Boolean functions are shown.
Sponsorship	IEEE Circuits and Systems Society
Starting Page	1750
Ending Page	1764
Page Count	15
File Size	678737
File Format	PDF
ISSN	15498328
Volume Number	54
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-08-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Boolean functions Logic functions Logic testing Galois fields Circuit synthesis Network synthesis Circuit testing Boolean algebra Very large scale integration Discrete transforms Walsh transforms fast transforms Galois field (3) [GF(3)] mathematical operations
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering Hardware and Architecture

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