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ALGEBRAIC STRUCTURE OF CLASSES OF NONLINEAR FILTERSAuthors: Garimella Ramamurthy Date: 2015-01-25 Report no: IIIT/TR/2015/1 AbstractIn this research paper, it is shown that the class of all Boolean rank order filters are represented using the class of all symmetric functions. Using this result, it is shown that the class of all permutation invariant filters are equivalent to the class of rank order filters. The algebraic structure of Boolean symmetric functions and Positive Boolean functions is explored. It is reasoned that non-linear filters obeying threshold decomposition are a structured class of polynomial filters. Full report: pdf Centre for Communications |
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