FIR filter design using optimization algorithms

Abstract

FIR Filters are used, nowadays, in different applications because of their phase linearity as well as their intrinsic stability. But for designing near optimal FIR Filters complex mathematical calculations are required, especially for high order FIR Filters. In this report we try to rely on two evolutionary algorithms, namely Particle Swarm Optimization (PSO) and Cuckoo Search Algorithm (CS), to solve this problem using simple procedures. Given the desired specifications to be met by the filter, simple procedures are used to optimize the coefficients approximating the ideal specifications and each algorithm uses its own rules to explore the search space efficiently. The results obtained are compared to PM algorithm in order to assess the performance of the proposed procedure in terms of the magnitude of ripples, transition band and convergence rate.