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This paper deals with the optimization of a class of M-channel uniform multirate filter bank. The specific case of a cosine modulated pseudo quadrature mirror filter (QMF) bank is considered for which all the filter bank channels are of equal width on the frequency scale. The design and optimization of the filter bank is based on the use of a single prototype filter. The first stage optimization process is based on perturbing the bandwidth and roll-off factor of a raised cosine prototype filter by using a genetic algorithm (GA) technique. Further improvements are subsequently derived by using a downhill Simplex optimization method.