38th International Symposium on Multiple Valued Logic (ismvl 2008) Remarks on Bandwidth and Regularities in Functions on Finite Non-Abelian Groups May 22-May 24 ISBN: 978-0-7695-3155-7
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ISMVL.2008.32
Sampling theorem states that under certain conditions, a signal can be reconstructed from data on a restricted area of the domain of definition of the signal model. In this context, the sampling theorem can be discussed also in the case of discrete signals to determine the minimum number of function values needed for the exact determination of a discrete function, with some additional information about the function in the spectral domain. It has been recently shown that in the case of multiple-valued (MV) functions, the notion of bandwidth relates to the concept of essential variables. Sampling conditions convert into requirements for periodicity and regularity in the truth-vectors of multiple-valued functions. In this paper, we extend these considerations by assuming a finite non-Abelian group as the domain for a given function to be processed.
Index Terms:
multiple-valued logic, sampling theorem, spectral coefficients, non-Abelian groups
Citation:
Radomir S. Stankovic, Jaakko Astola, "Remarks on Bandwidth and Regularities in Functions on Finite Non-Abelian Groups," ismvl, pp.238-243, 38th International Symposium on Multiple Valued Logic (ismvl 2008), 2008 Usage of this product signifies your acceptance of the Terms of Use. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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