Genetic algorithm and its application for the design of QMF banks with Canonical Signed Digit coefficients: A comparative study and new results

In this paper genetic algorithm (GA) is used for designing quadrature mirror filter (QMF) banks with canonical signed digit (CSD) coefficients. The performance of genetic algorithm is investigated through a novel study on dependency of population size and number of generations to mean square error (MSE). Two optimization techniques are also compared for retaining the CSD constraints of coefficients. The first method offers a restoration operation for each loop of genetic algorithm but the second one can easily keep the CSD constraints through a new chromosome coding scheme. It is shown that for both IIR QMF bank and FIR QMF bank; the second technique yields better performance.