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Research Letters in Signal Processing
Volume 2007, Article ID 32081, 5 pages
Research Letter

Design Two-Dimensional IIR Filters Based on Clonal Selection Algorithm with Singular Value Decomposition

National Kaohsiung University of Applied Sciences, 415 Chien Kung Road, Kaohsiung, Taiwan 807, China

Received 28 July 2007; Accepted 10 November 2007

Academic Editor: Tamal Bose

Copyright © 2007 Te-Jen Su et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this letter, clonal selection algorithm (CSA) with singular value decomposition (SVD) method is investigated for the realization of two-dimentional (2D) infinite-impulse response (IIR) filters with arbitrary magnitude responses. The CSA is applied to optimize the sampled frequencies of transition band of digital filters, then producing a planar response matrix of a 2D IIR digital filter. By using the SVD, 2D magnitude specifications can be decomposed into a pair of 1D filters, and thus the problem of designing a 2D digital filter can be reduced to the one of designing a pair of 1D digital filters or even only one 1D digital filter. The stimulation results show the proposed method has the better performance of the minimum attenuation between the passband and stopband.