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Journal of Optimization
Volume 2014, Article ID 239721, 10 pages
Research Article

Two-Dimensional IIR Filter Design Using Simulated Annealing Based Particle Swarm Optimization

1Department of Electronics and Communication Engineering, Netaji Subhash Engineering College, Garia, Kolkata, West Bengal 700152, India
2Department of Electronics and Telecommunication Engineering, Jadavpur University, Kolkata, West Bengal 700032, India

Received 14 May 2014; Revised 16 August 2014; Accepted 23 August 2014; Published 9 September 2014

Academic Editor: Ling Wang

Copyright © 2014 Supriya Dhabal and Palaniandavar Venkateswaran. 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.


We present a novel hybrid algorithm based on particle swarm optimization (PSO) and simulated annealing (SA) for the design of two-dimensional recursive digital filters. The proposed method, known as SA-PSO, integrates the global search ability of PSO with the local search ability of SA and offsets the weakness of each other. The acceptance criterion of Metropolis is included in the basic algorithm of PSO to increase the swarm’s diversity by accepting sometimes weaker solutions also. The experimental results reveal that the performance of the optimal filter designed by the proposed SA-PSO method is improved. Further, the convergence behavior as well as optimization accuracy of proposed method has been improved significantly and computational time is also reduced. In addition, the proposed SA-PSO method also produces the best optimal solution with lower mean and variance which indicates that the algorithm can be used more efficiently in realizing two-dimensional digital filters.