A Novel Firefly Algorithm for Optimal Linear Phase FIR Filter Design

Suman Kumar Saha, R. Kar, D. Mandal and S. P. Ghoshal
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Suman Kumar Saha: Department of Electronics and Communication Engineering, National Institute of Technology, Durgapur, India
R. Kar: Department of Electronics and Communication Engineering, National Institute of Technology, Durgapur, India
D. Mandal: Department of Electronics and Communication Engineering, National Institute of Technology, Durgapur, India
S. P. Ghoshal: Department of Electrical Engineering, National Institute of Technology, Durgapur, India

International Journal of Swarm Intelligence Research (IJSIR), 2013, vol. 4, issue 2, 29-48

Abstract: Optimal digital filter design in digital signal processing has thrown a growing influence on communication systems. FIR filter design involves multi-parameter optimization, on which the existing optimization algorithms do not work efficiently. For which different optimization techniques can be utilized to determine the impulse response coefficient of a filter and try to meet the ideal frequency response characteristics. In this paper, FIR low pass, high pass, band pass and band stop filters have been designed using a new meta-heuristic search method, called firefly algorithm. Firefly Algorithm is inspired by the flash pattern and characteristics of fireflies. The performance of the designed filters has been compared with that obtained by real coded genetic algorithm (RGA), standard PSO and differential evolution (DE) optimization techniques. Differential evolution (DE) is already one of the most powerful stochastic real-parameter optimization algorithms in current use. Here the firefly algorithm (FA) technique has proven a significant advantage. For the problem at hand, the simulation of designing FIR filters has been done and the simulation results demonstrate that Firefly algorithm is better than other relevant algorithms, not only in the convergence speed but also in the performance of the designed filter.

Date: 2013
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