Creator:
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Title:
Efficient calculation of the Reed-Muller form by means of the Walsh transform
Group publication title:
Subject and Keywords:
Reed-Muller coefficients ; Walsh coefficients ; coefficient distribution ; Boolean function ; synthesis of Boolean functions
Abstract:
The paper describes a spectral method for combinational logic synthesis using the Walsh transform and the Reed-Muller form. A new algorithm is presented that allows us to obtain the mixed polarity Reed-Muller expansion of Boolean functions. ; The most popular minimisation (sub-minimisation) criterion of the Reed-Muller form is obtained by the exhaustive search of all the polarity vectors. This paper presents a non-exhaustive method for Reed-Muller expansions. ; The new method allows us to build the Reed-Muller form based on the analysis of Walsh-Hadamard coefficients. The presented method has much less complexity than the procedures which have been applied until now. Both the transforms and the presented Walsh-Hadamard spectral characterization of the Reed-Muller expansion are compared. An analysis of the properties of the spectra obtained from these transforms is made.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Date:
Resource Type:
Pages:
Source:
AMCS, volume 12, number 4 (2002) ; click here to follow the link