The Robust Design of Linear Phase Fir Filter Using Mix-mutation Evolutionary Programming

In the design of frequency-selective filters, the desired filter characteristics are specified in the frequency domain in terms of desired magnitude and phase response of the filter. In this paper we present a design approach by determining the closely approximated coefficients using powerful Evolutionary Programming to find the solution for the optimization problem in selecting the coefficients. In this paper the design of Causal FIR filter with desired frequency response and phase response is presented. In practice, FIR filters are employed in filtering problems where there is a requirement for linear phase characteristics within the passband of the filter. The Evolutionary Programming is the best search procedure and most powerful than Linear Programming in providing the optimal solution that is desired to minimize the ripple content in both passband and stopband. We presented here how the values of δ1 and δ2 are minimized with best optimized approach using Evolutionary Computation. The optimized filter bank structure is implemented in our research work for effective compression of images.