Abstract

Spectral approach to analysis and synthesis of logic functions permits a uniform consideration of binary and multiple-valued logic functions by viewing them as elements of Hilbert spaces of functions on finite groups over the complex-field of some finite fields. Logic values are identified with integers or, more general as particular examples of complex numbers with imaginary parts equal to 0, or as elements of the corresponding finite fields. Spectral methods links Switching Theory and Digital Logic with Signal Processing and permit to use powerful theory of Abstract harmonic analysis and in particular Fourier theory on finite groups as well as some of related Signal Processing techniques to search for solutions of problems in these areas.

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