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

Authors:
P. Samadi;M. Ahmadi
Affiliations:
Student Member, IEEE/ University of Windsor, Canada;Fellow, IEEE/ University of Windsor, Canada
Venue:
ICNC '07 Proceedings of the Third International Conference on Natural Computation - Volume 03
Year:
2007

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Abstract

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.