Simulated Annealing for Optimal IIR Digital Filters

In this paper, Simulated Annealing (SA) in the context of designing infinite-impulse response (IIR) digital filters is presented. 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. This Paper presents heuristic way for the designing IIR filters. 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. Better mean-square-error equal to 0.3284 is achieved using SA. The position of the Pole-Zero is also presented to describe the stability of designed filters.