Title: Design of two-dimensional recursive digital filters with specified magnitude and group-delay characteristics using Taguchi-based Immune Algorithm

Authors: Mohammed Abo-Zahhad, Sabah M. Ahmed, Ahmad F. Al-Ajlouni, Nabil Sabor

Addresses: Faculty of Engineering, Electrical and Electronics Engineering Department, Assiut University, Assiut 71516, Egypt. ' Faculty of Engineering, Electrical and Electronics Engineering Department, Assiut University, Assiut 71516, Egypt. ' Hijjawi Faculty for Engineering Technology, Communication Engineering Department, Yarmouk University, Irbid 21163, Jordan. ' Faculty of Engineering, Electrical and Electronics Engineering Department, Assiut University, Assiut 71516, Egypt

Abstract: This paper presents one modern heuristic optimisation algorithm, named Taguchi-Based Immune Algorithm (TBIA), to solve the problem of designing 2D recursive digital filters with specified magnitude and group-delay characteristics. The algorithm is detailed for the design of three recursive filters| categories, namely filters with predefined magnitude, delay and magnitude and delay. On the basis of minimising the magnitude and group-delay errors, multi-criterion design combination is employed to obtain optimal recursive filters that satisfy the required specifications. Computational experiments show the ability of the proposed algorithm to obtain more robust stable complex filters compared with previously reported design methods.

Keywords: two-dimensional digital filters; immune algorithms; Taguchi methods; group delay; 2D digital filters; recursive digital filters.

DOI: 10.1504/IJSISE.2010.038018

International Journal of Signal and Imaging Systems Engineering, 2010 Vol.3 No.4, pp.222 - 235

Published online: 10 Jan 2011 *

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