Particle Swarm Optimization Algorithm for Designing BP and BS IIR Digital Filter

In this paper band pass (BP) and band stop (BS) infinite impulse response (IIR) filter is designed using particle swarm optimization (PSO) algorithm.The magnitude response of the IIR filter is approximated using L₁-approximation error criterion. The PSO algorithm is a optimization technique inspired by genetics and natural evolution. The method enhances the search capability and provides a fast convergences for calculating the optimal filter coefficients. The filter designed based on L₁-approximation error possesses flat passbands and stopbands while keeping the transition band comparable to that of the least square design. A comparison has been made with other design techniques, demonstrating that PSO with enhanced diversity and convergence gives better or at least comparable results or designing digital IIR filters than the existing genetic algorithm based methods.