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This paper presents a method for synthesizing linear-phase FIR filters capable of implementing magnitude characteristics defined arbitrarily by the user through a set of frequency–magnitude points, filters that are optimized with respect to several criteria. The main idea is to approach the filter synthesis as a multi-objective optimization problem, targeting the minimization of both the peak magnitude...
This paper presents a method for optimized synthesis of IIR filters with user-defined magnitude response, based on a real-coded genetic algorithm. The application envisaged in this paper is the design of filters for hearing aids, which have to match given human audiograms. Two metrics for the differences between the synthesized and wanted magnitude characteristics are minimized by the optimization...
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