Design of Optimal FIR Filters Using Integrated Optimization Technique

Abstract

The aim of the research work is to optimally design a finite impulse response (FIR) filter. For this purpose, an integrated optimization technique has been proposed. The proposed optimization technique integrates the Moth flame optimization (MFO) technique and Powell’s pattern search (PPS) technique in a coherent manner to maintain a fine balance between exploration and exploitation capabilities of the search technique. During the search process, the best performing MFO particle is transferred to the PPS method to avoid any possible stagnation. Initially, the proposed optimization technique has been tested on five standard test functions and then it is applied to design optimal FIR low-pass, high-pass, band-pass and band-stop filters. The performance of the proposed optimization technique is compared with other state of art optimization techniques and also with the results reported in the literature. The proposed optimization technique yields high-quality solution with minimal computational efforts. Further, student t test is applied to test the statistical performance of optimization technique and found satisfactory.