Design of Multiplier-less Cosine Modulated Filter Banks with Sharp Transition using Evolutionary Algorithms

Abstract

This paper proposes a totally multiplier-less approximate reconstruction cosine modulated filter bank. The prototype filter is designed to obtain a computationally efficient, sharp transition width, finite impulse response (FIR) filter using the frequency response masking (FRM) approach combined with the canonic signed digit (CSD) representation of the coefficients. Meta-heuristic algorithms are deployed to optimize the performance of the filter bank. The algorithms are modified to suit the optimization problem, in which the objective function is non linear and the search space consists of integers.