Design of Digital Filter by Differential Evolution

Abstract

This methodology for stable and robust design of FIR filters. Differential evolution (DE) is taken as a global search technique and it uses local search algorithm to find the optimal solution for the design. DE is implemented here to design low pass, band pass as well as high order filters and results which are obtained can also be applied to higher order filters. The recombination approach involves the creation of new candidate solution components based on the weighted difference between two randomly selected population members added to a third population member. This perturbs population members relative to the spread of the broader population. In conjunction with selection, the perturbation effect self-organizes the sampling of the problem space, bounding it to known areas of interest.