NDLI: The Application of the Rademacher–Walsh Transform to Boolean Function Classification and Threshold Logic Synthesis

Content Provider	IEEE Xplore Digital Library
Author	Edwards, C.R.
Copyright Year	1968
Abstract	Five operations are defined in the Rademacher-Walsh transform domain. It is shown that these operations allow Boolean functions to be classified in a very concise way. The result of applying this classification to Boolean functions of up to fourth order indicates that threshold functions play an important part in the composition of Boolean functions. A synthesis method is developed for the synthesis of any Boolean function using, as a basic element, an "optimized universal threshold logic gate." This gate overcomes the analog threshold tolerancing problems encountered in other threshold gate designs and is readily fabricated in an integrated circuit form. The use of this gate in logic design is expected to provide a considerable cost-saving over conventional methods.
Sponsorship	IEEE Computer Society Technical Committee on Distributed Process IEEE Computer Society Technical Committee on VLSI IEEE Technical Committee on Computer Architecture IEEE Computer Society
Starting Page	48
Ending Page	62
Page Count	15
File Size	4600751
File Format	PDF
ISSN	00189340
Volume Number	C-24
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1975-01-01
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 function classification, logic synthesis, Rademacher-Walsh transform, threshold logic.
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science Computational Theory and Mathematics Software Hardware and Architecture

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Comments on The Application of the Rademacher-Walsh Transform to Boolean Function Classification and Threshold Logic Synthesis

Composite Spectra and the Analysis of Switching Circuits

A Digital Synthesis Procedure Under Function Symmetries and Mapping Methods

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R70-34 Unateness Test of a Boolean Function and Two General Synthesis Methods Using Threshold Logic

R70-13 Multigate Synthesis of General Boolean Functions by Threshold Logic Elements

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The Application of the Rademacher–Walsh Transform to Boolean Function Classification and Threshold Logic Synthesis

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