Performance Analysis of Genetic Algorithm for the Design of Linear Phase Digital Filter Banks with CSD Coefficients

In this paper genetic algorithm is utilized to design linear phase IIR quadrature mirror filter (QMF) banks with canonical signed digit coefficients (CSD). Subsequently, we present a through study on the performance of GA using different cross-over strategies. It is shown that 2-point cross-over generally works better than 1-point and uniform cross-over for IIR filter design. In the second part, the dependency of genetic algorithm to probability of mutation (Pm) and probability of cross-over (Pc) is analyzed. Experimental results show that with a fixed value for Pc, genetic algorithm performs better with the Pm of 4 to 6 percent, and with a fixed value for Pm, genetic algorithm yields better result with the Pc of around 95 percent.