Performance of Multiplierless FIR Filter Based on Directed Minimal Spanning Tree: A Comparative Study

摘要

This paper presents a novel low complex configuration methodology by deploying a directed minimal spanning tree (DMST) algorithm for designing digital multiplierless finite impulse response filter. This method utilizes the shift inclusive differential coefficient and common sub-expression elimination (CSE) technique to minimize the multiple constant multiplications using steepest decent approach. The attractive feature of this work lays on the detailed comparison of the cost, reconstruction error, pass-band and stop-band error by exploiting various evolutionary techniques such as cuckoo search algorithm, particle swarm optimization, artificial bee intelligence, hybrid swarm optimization and flower pollination algorithm; followed by employing hybrid SID and DMST on these techniques. For this purpose, a mean squared error-based objective function is optimized in the pass-band and stop-band region of the filter. Further, a detailed comparison of hybrid SID and DMST with other existing CSE algorithms is also illustrated. It has been observed that up to 80% reduction in number of adders can be accomplished using the proposed DMST-based approach for multiplierless filter design.