Title :
Reed-Muller canonical forms with mixed polarity and their manipulations
Author_Institution :
Dept. of Electr. Eng. & Electron., Univ. of Manchester Inst. of Sci. & Technol., UK
fDate :
1/1/1990 12:00:00 AM
Abstract :
The set of 3n consistent mixed-polarity Reed-Muller canonical forms of an n-variable switching function is described and the means whereby each form may be derived by a transform on the zero-polarity form is investigated. The computational cost of deducing the optimum polarity expansion is evaluated for various strategies. A ternary map-based method is introduced which enables this search and other operations to be performed in a compact and efficient manner.
Keywords :
matrix algebra; switching functions; Reed-Muller canonical forms; computational cost; manipulations; mixed polarity; n-variable switching function; ternary map-based method; transform; zero-polarity form;
Journal_Title :
Computers and Digital Techniques, IEE Proceedings E