Design of quadrature mirror filter banks with canonical signed digit coefficients using genetic algorithm

In this paper, a genetic algorithm (GA) is used to design quadrature mirror filter (QMF) banks. A unique genetic algorithm (GA) is developed to optimize filter bank coefficients such that the corresponding system response matches that of an ideal system with an additional constraint that all coefficients are in canonical signed digit (CSD) format. A special restoration technique is used to restore the CSD format of the coefficients after crossover and mutation operators in the GA. The proposed restoration technique maintains the specified wordlength and the maximum number of nonzero digits in the filter bank coefficients.