A Complex Chebyshev Approximation of IIR Filters Using PSO Having Poles and Zeros as Optimization Parameters

Takuya MATSUMOTO  Kenji SUYAMA 

Publication
A - Abstracts of IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences (Japanese Edition)  Vol.J95-A  No.6  pp.481-490
Publication Date: 2012/06/01
Online ISSN: 1881-0195
Print ISSN: 0913-5707
Type of Manuscript: PAPER
Category: 
Keyword: 
IIR filter,  stability,  particle swarm optimization,  complex Chebychev approximation, 

Full Text(in Japanese): PDF(778.8KB)

Summary: 
In this paper, a novel method for designing IIR (Infinite Impulse Response) filters using PSO (Particle Swarm Optimization) algorithm is proposed. In the method, poles and zeros of the transfer function are considered as the parameters to be designed. Then, a necessary and sufficient condition for the stability of the IIR filter can be assured without calculating the poles allocation based on filter coefficients, and a design with a specified maximum pole radius can be realized. In addition, we attempt to obtain a better solution by giving some perturbations to initial value of each particle. The design examples are shown to present the effectiveness of the propose method.