Nonlinear Filters Satisfying Restricted Linearity Conditions
نویسندگان
چکیده
This paper introduces the class of K-linear filters, which are linear when restricted to a specified cone K of input sequences, but which can exhibit very nonlinear behavior for input sequences that do not belong to this set. An important special case is the class of monotone-linear filters, which are linear when restricted to monotone input sequences. It is shown that all positive L-filters belong to this class. Other results presented here include a general procedure for generating new K-linear filters from known examples, and a closely related, simple linearization strategy that is useful in characterizing their nonlinearity.
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