An Efficient Method for Designing Multiplier-Less Non-uniform Filter Bank Based on Hybrid Method Using CSE Technique

摘要

This paper presents an efficient method for optimal design of multiplier-less non-uniform tree-structured filter banks using hybrid evolutionary algorithm. Phenomenal reduction in number of adders is achieved by applying common sub-expression elimination (CSE) on canonic signed digits (CSD) and binary represented filter coefficients. The proposed methodology utilizes the proficiencies of particle swarm optimization and artificial bee colony algorithms to achieve magnitude response of a prototype filter for non-uniform filter bank (NUFB) of 0.7071 at quadrature frequency. Single optimization technique is employed for designing the computationally efficient, continuous and quantized coefficients of a prototype filter for NUFB. A comprehensive study on CSE technique such as vertical, horizontal and mixed CSE has been also made for designing NUFB. The simulation results reflect that the proposed method shows better performance in terms of adder gain and reconstruction error. The hybrid method yields 33 % of adder gain with CSD technique and 55 % adder gain in case of CSE technique.