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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Language: | English |
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Elsevier
2015-01-01
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Series: | Journal of King Saud University: Computer and Information Sciences |
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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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issn | 1319-1578 |
language | English |
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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 |