Comparison of performance and computational complexity of nonlinear active noise control algorithms

Research on nonlinear active noise control (NANC) revolves around the investigation of the sources of nonlinearity as well as the performance and computational load of the nonlinear algorithms. The nonlinear sources could originate from the noise process, primary and secondary propagation paths, and...

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Main Authors: Sahib, Mouayad A., Raja Ahmad, Raja Mohd Kamil
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2011
Online Access:http://psasir.upm.edu.my/id/eprint/23309/1/123.pdf
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author Sahib, Mouayad A.
Raja Ahmad, Raja Mohd Kamil
author_facet Sahib, Mouayad A.
Raja Ahmad, Raja Mohd Kamil
author_sort Sahib, Mouayad A.
collection UPM
description Research on nonlinear active noise control (NANC) revolves around the investigation of the sources of nonlinearity as well as the performance and computational load of the nonlinear algorithms. The nonlinear sources could originate from the noise process, primary and secondary propagation paths, and actuators consisting of loudspeaker, microphone or amplifier. Several NANCs including Volterra filtered-x least mean square (VFXLMS), bilinear filtered-x least mean square (BFXLMS), and filtered-s least mean square (FSLMS) have been utilized to overcome these nonlinearities effects. However, the relative performance and computational complexities of these algorithm in comparison to FXLMS algorithm have not been carefully studied. In this paper, systematic comparisons of the FXLMS against the nonlinear algorithms are evaluated in overcoming various nonlinearity sources. The evaluation of the algorithms performance is standardized in terms of the normalized mean square error while the computational complexity is calculated based on the number of multiplications and additions in a single iteration. Computer simulations show that the performance of the FXLMS is more than 80% of the most effective nonlinear algorithm for each type of nonlinearity sources at the fraction of computational load. The simulation results also suggest that it is more advantageous to use FXLMS for practical implementation of NANC.
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spelling upm.eprints-233092016-06-07T08:49:29Z http://psasir.upm.edu.my/id/eprint/23309/ Comparison of performance and computational complexity of nonlinear active noise control algorithms Sahib, Mouayad A. Raja Ahmad, Raja Mohd Kamil Research on nonlinear active noise control (NANC) revolves around the investigation of the sources of nonlinearity as well as the performance and computational load of the nonlinear algorithms. The nonlinear sources could originate from the noise process, primary and secondary propagation paths, and actuators consisting of loudspeaker, microphone or amplifier. Several NANCs including Volterra filtered-x least mean square (VFXLMS), bilinear filtered-x least mean square (BFXLMS), and filtered-s least mean square (FSLMS) have been utilized to overcome these nonlinearities effects. However, the relative performance and computational complexities of these algorithm in comparison to FXLMS algorithm have not been carefully studied. In this paper, systematic comparisons of the FXLMS against the nonlinear algorithms are evaluated in overcoming various nonlinearity sources. The evaluation of the algorithms performance is standardized in terms of the normalized mean square error while the computational complexity is calculated based on the number of multiplications and additions in a single iteration. Computer simulations show that the performance of the FXLMS is more than 80% of the most effective nonlinear algorithm for each type of nonlinearity sources at the fraction of computational load. The simulation results also suggest that it is more advantageous to use FXLMS for practical implementation of NANC. Hindawi Publishing Corporation 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/23309/1/123.pdf Sahib, Mouayad A. and Raja Ahmad, Raja Mohd Kamil (2011) Comparison of performance and computational complexity of nonlinear active noise control algorithms. ISRN Mechanical Engineering, 2011. art. no. 925085. pp. 1-9. ISSN 2090-5122; ESSN: 2090-5130 http://www.hindawi.com/journals/isrn/2011/925085/ 10.5402/2011/925085
spellingShingle Sahib, Mouayad A.
Raja Ahmad, Raja Mohd Kamil
Comparison of performance and computational complexity of nonlinear active noise control algorithms
title Comparison of performance and computational complexity of nonlinear active noise control algorithms
title_full Comparison of performance and computational complexity of nonlinear active noise control algorithms
title_fullStr Comparison of performance and computational complexity of nonlinear active noise control algorithms
title_full_unstemmed Comparison of performance and computational complexity of nonlinear active noise control algorithms
title_short Comparison of performance and computational complexity of nonlinear active noise control algorithms
title_sort comparison of performance and computational complexity of nonlinear active noise control algorithms
url http://psasir.upm.edu.my/id/eprint/23309/1/123.pdf
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