Paper Info
Title
Characterization of Quaternary Threshold Functions in the Vilenkin-Chrestenson Basis
Abstract
This paper deals with the characterization of threshold functions defined on n-dimensional quaternary inputs using the representation of a function in the Vilenkin-Chrestenson basis. It is shown that such a function is uniquely characterized by (2n + 2)-dimensional vector of parameters, that correspond to the Vilenkin-Chrestenson spectrum. (2n + 1) of them correspond to the spectral coefficients of the function and the remaining one correspond to the zero-moment spectral coefficient of the character of the function. We apply the same reasoning to the class of ternary threshold functions as an alternative way to derive their spectral characterization.
Year
DOI
Venue
2018
10.1109/ISMVL.2018.00011
2018 IEEE 48th International Symposium on Multiple-Valued Logic (ISMVL)
Keywords
Field
DocType
threshold logic,harmonic analysis,Nomura parameters
Hafnium,Discrete mathematics,Computer science,Pure mathematics,Ternary operation,Harmonic analysis
Conference
ISSN
ISBN
Citations 
0195-623X
978-1-5386-4465-2
0
PageRank 
References 
Authors
0.34
4
1
Name
Order
Citations
PageRank
Ivan Prokić102.37