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Generalised k-variable-mixed-polarity Reed-Muller expansions for system of Boolean functions and their minimisation

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

A lookup table based method to minimise generalised partially-mixed-polarity Reed-Muller (GPMPRM) expansions with k mixed polarity variables is presented. The developed algorithm can produce solutions based on the desired cost criteria for the systems of completely specified functions. A heuristic approach based on the exclusion rule is adopted to extract the best dual polarity variables from any fixed polarity Reed-Muller (FPRM) expansion. The obtained experimental results compared favourably with the recently published results and outperform those generated by the exact minimal FPRM expansion minimisers

Published in:
Circuits, Devices and Systems, IEE Proceedings -  (Volume:147 ,  Issue: 4 )

Date of Publication: Aug 2000

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