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Walsh-Hadamard spectral minimization of fixed polarity Reed-Muller expansions

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2 Author(s)
B. J. Falkowski ; Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore ; S. Yan

By investigating links between Reed-Muller expansions and Walsh-Hadamard spectra an exact and non-exhaustive algorithm for the generation of optimal Reed-Muller expansions directly from just few Walsh-Hadamard spectral coefficients has been developed. The algorithm makes use of the properties of Walsh-Hadamard spectra and by investigating only few Walsh-Hadamard coefficients the optimal Reed-Muller expansion is obtained for all Boolean functions through the provided equations in the new algorithm.

Published in:

Circuits and Systems, 2004. MWSCAS '04. The 2004 47th Midwest Symposium on  (Volume:1 )

Date of Conference:

25-28 July 2004