Design of Quadrature Mirror Filter Bank using Particle Swarm Optimization (PSO)

Abstract In this paper, the particle swarm optimization technique is used for the design of a two channel quadrature mirror filter (QMF) bank. A new method is developed to optimize the prototype filter response in passband, stopband and overall filter bank response. The design problem is formulated as nonlinear unconstrained optimization of an objective function, which is weighted sum of square of error in passband, stop band and overall filter bank response at frequency (Ȧ=0.5ʌ). For solving the given optimization problem, the particle swarm optimization (PSO) technique is used. As compared to the conventional design techniques, the proposed method gives better performance in terms of reconstruction error, mean square error in passband, stopband, and computational time. Various design examples are presented to illustrate the benefits provided by the proposed method. Index Terms Filter banks, quadrature mirror filter, subband coding. I