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Nonlinear THF-FXLMS algorithm for active noise control with loudspeaker nonlinearity

Adaptive algorithms are prevalently applied in the design of nonlinear active noise control (ANC) systems. The most important nonlinearity in ANC is the saturation effect produced by the electro-acoustical sensors and transducers. The dominant saturation nonlinearity is in the transducers, which can...

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Main Authors: Ghasemi, Sepehr, Raja Ahmad, Raja Mohd Kamil, Marhaban, Mohammad Hamiruce
Format: Article
Language:English
Published: Chinese Automatic Control Society and John Wiley & Sons 2016
Online Access:http://psasir.upm.edu.my/id/eprint/47359/1/Nonlinear%20THF-FXLMS%20algorithm%20for%20active%20noise%20control%20with%20loudspeaker%20nonlinearity.pdf
http://psasir.upm.edu.my/id/eprint/47359/
http://onlinelibrary.wiley.com/wol1/doi/10.1002/asjc.1140/abstract
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spelling my.upm.eprints.473592016-05-19T05:21:33Z http://psasir.upm.edu.my/id/eprint/47359/ Nonlinear THF-FXLMS algorithm for active noise control with loudspeaker nonlinearity Ghasemi, Sepehr Raja Ahmad, Raja Mohd Kamil Marhaban, Mohammad Hamiruce Adaptive algorithms are prevalently applied in the design of nonlinear active noise control (ANC) systems. The most important nonlinearity in ANC is the saturation effect produced by the electro-acoustical sensors and transducers. The dominant saturation nonlinearity is in the transducers, which can be represented by a Wiener model. An effective solution to mitigate such nonlinear distortion is to employ the Nonlinear Filtered-X Least Mean Square (NLFXLMS) algorithm. The controller compensates the nonlinearity using a model of the saturation effect represented by the scaled error function (SEF). However, the NLFXLMS is limited by two practical issues such that the degree of nonlinearity has to be known in advance and the SEF cannot be evaluated in real time. In this work, the NLFXLMS algorithm is modified by incorporating the tangential hyperbolic function (THF) to model the saturation effect of the loudspeaker. The proposed THF-NLFXLMS algorithm, models the nonlinear secondary path and applies the estimated degree of nonlinearity in the control algorithm design. The results show that the Wiener secondary path, with saturation nonlinearity represented by SEF, can be modelled by THF with a certain degree of accuracy and can yield a reasonable estimate of the degree of nonlinearity. The performance of the proposed algorithm is comparable with the benchmark NLFXLMS and is superior to the conventional FXLMS as well as the second order Volterra algorithm of similar computational complexity with the proposed algorithm. Chinese Automatic Control Society and John Wiley & Sons 2016-03 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/47359/1/Nonlinear%20THF-FXLMS%20algorithm%20for%20active%20noise%20control%20with%20loudspeaker%20nonlinearity.pdf Ghasemi, Sepehr and Raja Ahmad, Raja Mohd Kamil and Marhaban, Mohammad Hamiruce (2016) Nonlinear THF-FXLMS algorithm for active noise control with loudspeaker nonlinearity. Asian Journal of Control, 18 (2). pp. 502-513. ISSN 1561-8625; ESSN: 1934-6093 http://onlinelibrary.wiley.com/wol1/doi/10.1002/asjc.1140/abstract 10.1002/asjc.1140
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description Adaptive algorithms are prevalently applied in the design of nonlinear active noise control (ANC) systems. The most important nonlinearity in ANC is the saturation effect produced by the electro-acoustical sensors and transducers. The dominant saturation nonlinearity is in the transducers, which can be represented by a Wiener model. An effective solution to mitigate such nonlinear distortion is to employ the Nonlinear Filtered-X Least Mean Square (NLFXLMS) algorithm. The controller compensates the nonlinearity using a model of the saturation effect represented by the scaled error function (SEF). However, the NLFXLMS is limited by two practical issues such that the degree of nonlinearity has to be known in advance and the SEF cannot be evaluated in real time. In this work, the NLFXLMS algorithm is modified by incorporating the tangential hyperbolic function (THF) to model the saturation effect of the loudspeaker. The proposed THF-NLFXLMS algorithm, models the nonlinear secondary path and applies the estimated degree of nonlinearity in the control algorithm design. The results show that the Wiener secondary path, with saturation nonlinearity represented by SEF, can be modelled by THF with a certain degree of accuracy and can yield a reasonable estimate of the degree of nonlinearity. The performance of the proposed algorithm is comparable with the benchmark NLFXLMS and is superior to the conventional FXLMS as well as the second order Volterra algorithm of similar computational complexity with the proposed algorithm.
format Article
author Ghasemi, Sepehr
Raja Ahmad, Raja Mohd Kamil
Marhaban, Mohammad Hamiruce
spellingShingle Ghasemi, Sepehr
Raja Ahmad, Raja Mohd Kamil
Marhaban, Mohammad Hamiruce
Nonlinear THF-FXLMS algorithm for active noise control with loudspeaker nonlinearity
author_facet Ghasemi, Sepehr
Raja Ahmad, Raja Mohd Kamil
Marhaban, Mohammad Hamiruce
author_sort Ghasemi, Sepehr
title Nonlinear THF-FXLMS algorithm for active noise control with loudspeaker nonlinearity
title_short Nonlinear THF-FXLMS algorithm for active noise control with loudspeaker nonlinearity
title_full Nonlinear THF-FXLMS algorithm for active noise control with loudspeaker nonlinearity
title_fullStr Nonlinear THF-FXLMS algorithm for active noise control with loudspeaker nonlinearity
title_full_unstemmed Nonlinear THF-FXLMS algorithm for active noise control with loudspeaker nonlinearity
title_sort nonlinear thf-fxlms algorithm for active noise control with loudspeaker nonlinearity
publisher Chinese Automatic Control Society and John Wiley & Sons
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/47359/1/Nonlinear%20THF-FXLMS%20algorithm%20for%20active%20noise%20control%20with%20loudspeaker%20nonlinearity.pdf
http://psasir.upm.edu.my/id/eprint/47359/
http://onlinelibrary.wiley.com/wol1/doi/10.1002/asjc.1140/abstract
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score 13.211869

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