Title: Passive congregation-based particle swarm optimisation for designing quadrature mirror filter bank

Authors: Supriya Dhabal; Palaniandavar Venkateswaran

Addresses: Department of Electronics & Communication Engineering, Netaji Subhash Engineering College, Kolkata 700152, West Bengal, India ' Department of Electronics & Tele-Communication Engineering, Jadavpur University, Kolkata 700032, West Bengal, India

Abstract: In this paper, we propose two different approaches based on Particle Swarm Optimisation (PSO) for the design of Near Perfect Reconstruction (NPR) Quadrature Mirror Filter (QMF) bank. The proposed method employs Constriction Factor-based PSO (CPSO) and PSO with Passive Congregation (PSOPC) approach for the design of prototype filter. Both the PSO methods are presented to optimise FIR filter coefficients that lead to NPR filter bank. Passband ripple, stopband energy, transition-band error and amplitude distortion of the overall bank are combined to obtain a closed form objective function. Two illustrative examples are given to demonstrate the feasibility of our proposed scheme and performances are compared with other existing methods. The experimental results show that PSOPC algorithm provides better performance parameters with great accuracy and convergence.

Keywords: QMF bank; filter design; quadrature mirror filter; NPR filter bank; near perfect reconstruction; PSO; particle swarm optimisation; CPSO; constriction factor; PSOPC; PRE; peak reconstruction error; passive congregation; passband ripple; stopband energy; transition band error; amplitude distortion.

DOI: 10.1504/IJSISE.2016.080269

International Journal of Signal and Imaging Systems Engineering, 2016 Vol.9 No.6, pp.357 - 368

Received: 31 Aug 2013
Accepted: 22 May 2014

Published online: 10 Nov 2016 *

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