Optimal IIR filter design using Gravitational Search Algorithm with Wavelet Mutation

This paper presents a global heuristic search optimization technique, which is a hybridized version of the Gravitational Search Algorithm (GSA) and Wavelet Mutation (WM) strategy. Thus, the Gravitational Search Algorithm with Wavelet Mutation (GSAWM) was adopted for the design of an 8th-order infini...

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Main Authors: S.K. Saha, R. Kar, D. Mandal, S.P. Ghoshal
Format: Article
Language:English
Published: Elsevier 2015-01-01
Series:Journal of King Saud University: Computer and Information Sciences
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1319157814000032
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author S.K. Saha
R. Kar
D. Mandal
S.P. Ghoshal
author_facet S.K. Saha
R. Kar
D. Mandal
S.P. Ghoshal
author_sort S.K. Saha
collection DOAJ
description This paper presents a global heuristic search optimization technique, which is a hybridized version of the Gravitational Search Algorithm (GSA) and Wavelet Mutation (WM) strategy. Thus, the Gravitational Search Algorithm with Wavelet Mutation (GSAWM) was adopted for the design of an 8th-order infinite impulse response (IIR) filter. GSA is based on the interaction of masses situated in a small isolated world guided by the approximation of Newtonian’s laws of gravity and motion. Each mass is represented by four parameters, namely, position, active, passive and inertia mass. The position of the heaviest mass gives the near optimal solution. For better exploitation in multidimensional search spaces, the WM strategy is applied to randomly selected particles that enhance the capability of GSA for finding better near optimal solutions. An extensive simulation study of low-pass (LP), high-pass (HP), band-pass (BP) and band-stop (BS) IIR filters unleashes the potential of GSAWM in achieving better cut-off frequency sharpness, smaller pass band and stop band ripples, smaller transition width and higher stop band attenuation with assured stability.
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spelling doaj.art-2613ed6d2e0a40bdbbe8d6582e8595a62022-12-22T00:40:54ZengElsevierJournal of King Saud University: Computer and Information Sciences1319-15782015-01-01271253910.1016/j.jksuci.2014.03.002Optimal IIR filter design using Gravitational Search Algorithm with Wavelet MutationS.K. Saha0R. Kar1D. Mandal2S.P. Ghoshal3Department of ECE, NIT Durgapur, IndiaDepartment of ECE, NIT Durgapur, IndiaDepartment of ECE, NIT Durgapur, IndiaDepartment of EE, NIT Durgapur, IndiaThis paper presents a global heuristic search optimization technique, which is a hybridized version of the Gravitational Search Algorithm (GSA) and Wavelet Mutation (WM) strategy. Thus, the Gravitational Search Algorithm with Wavelet Mutation (GSAWM) was adopted for the design of an 8th-order infinite impulse response (IIR) filter. GSA is based on the interaction of masses situated in a small isolated world guided by the approximation of Newtonian’s laws of gravity and motion. Each mass is represented by four parameters, namely, position, active, passive and inertia mass. The position of the heaviest mass gives the near optimal solution. For better exploitation in multidimensional search spaces, the WM strategy is applied to randomly selected particles that enhance the capability of GSA for finding better near optimal solutions. An extensive simulation study of low-pass (LP), high-pass (HP), band-pass (BP) and band-stop (BS) IIR filters unleashes the potential of GSAWM in achieving better cut-off frequency sharpness, smaller pass band and stop band ripples, smaller transition width and higher stop band attenuation with assured stability.http://www.sciencedirect.com/science/article/pii/S1319157814000032IIR filterGSAWMEvolutionary optimization techniquesMagnitude responsePole-zero plotStability
spellingShingle S.K. Saha
R. Kar
D. Mandal
S.P. Ghoshal
Optimal IIR filter design using Gravitational Search Algorithm with Wavelet Mutation
Journal of King Saud University: Computer and Information Sciences
IIR filter
GSAWM
Evolutionary optimization techniques
Magnitude response
Pole-zero plot
Stability
title Optimal IIR filter design using Gravitational Search Algorithm with Wavelet Mutation
title_full Optimal IIR filter design using Gravitational Search Algorithm with Wavelet Mutation
title_fullStr Optimal IIR filter design using Gravitational Search Algorithm with Wavelet Mutation
title_full_unstemmed Optimal IIR filter design using Gravitational Search Algorithm with Wavelet Mutation
title_short Optimal IIR filter design using Gravitational Search Algorithm with Wavelet Mutation
title_sort optimal iir filter design using gravitational search algorithm with wavelet mutation
topic IIR filter
GSAWM
Evolutionary optimization techniques
Magnitude response
Pole-zero plot
Stability
url http://www.sciencedirect.com/science/article/pii/S1319157814000032
work_keys_str_mv AT sksaha optimaliirfilterdesignusinggravitationalsearchalgorithmwithwaveletmutation
AT rkar optimaliirfilterdesignusinggravitationalsearchalgorithmwithwaveletmutation
AT dmandal optimaliirfilterdesignusinggravitationalsearchalgorithmwithwaveletmutation
AT spghoshal optimaliirfilterdesignusinggravitationalsearchalgorithmwithwaveletmutation