Korbicz, Józef - red. ; Uciński, Dariusz - red.
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.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 12, number 4 (2002) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
2021-09-03
2021-09-03
93
https://zbc.uz.zgora.pl/repozytorium/publication/65761
Nazwa wydania | Data |
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Efficient calculation of the Reed-Muller form by means of the Walsh transform | 2021-09-03 |
Porwik, Piotr Stanković, Radomir S. Korbicz, Józef - red. Uciński, Dariusz - red.
Porwik, Piotr Korbicz, Józef - red. Uciński, Dariusz - red.