Determine Optimal Coefficients of IIR Digital Filters using Simulated Annealing

Abstract

This paper determines coefficients of infinite-impulse response (IIR) using Simulated Annealing (SA). IIR filter is essentially a digital filter with Recursive responses. Since the error surface of digital IIR filters is generally nonlinear and multimodal, global optimization techniques are required in order to avoid local minima. In this paper heuristic way for the designing IIR filters is presented. SA is a powerful global optimization algorithm introduced in combinatorial optimization problems. The paper finds the optimum Coefficients of IIR digital filter through SA. It is found that the calculated values are more optimal than fda tool availble for the design of filter in MATLAB. Design of Lowpass and High pass IIR digital filter is proposed to provide estimate of transition band. The simulation results of the employed examples shows an improvement on transition band. It is also observed that mean-square-error of designed is least as compared to fda technique. The position of the Pole-Zero describes the stability of designed filters.