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Spectral Representations of Multiple-Valued Functions,g 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. Sp
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Fast Calculation Algorithms,it allows the usage of fast computing algorithms developed in signal processing to compute the coefficients in either functional expressions or spectral representations in the same way and by using algorithms of the identical structure by varying just the basic kernels of the algorithms and ranges w
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Spectral Representations of Multiple-Valued Functions,ectral 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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1932-3166 signals modeled by logic functions and, therefore, their use fits very well in the general settings of data compression attempts and approaches. The first task in dealing with such signals is to provide mathematical methods for their representation in a way that will make their application in practi
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978-3-031-79851-1Springer Nature Switzerland AG 2012
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Representations of Multiple-Valued Logic Functions978-3-031-79852-8Series ISSN 1932-3166 Series E-ISSN 1932-3174
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Multiple-Valued Logic Functions,Discrete functions are usually defined as a mapping.where .,i = 1,…,., and . are finite non-empty sets of not necessarily equal cardinalities (in the discrete and finite case, the number of elements) |.| and |.|, respectively, and × denotes the direct (Cartesian) product of sets. The sets . and . are called the . and the . for ., respectively.
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