Design of weighted minimax quadrature mirror filters

Abstract

Quadrature mirror filters have been used extensively for splitting speech signals into subbands which result in no aliasing problem when the subband signals are decimated and then interpolated and recombined. In this paper, we introduce a novel and efficient optimization method for the design of quadrature mirror filters optimum in the weighted least squares sense. By a suitable choice of the least squares weighting function, the weighted minimax quadrature mirror filter is produced. The minimax tolerance weighting function can be arbitrarily defined.