Adaptive algorithms for active control of impulsive noise

Muhammad Tahir Akhtar, Wataru Mitsuhashi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper deals with active noise control (ANC) for impulsive noise sources. The most famous filtered-x least mean square (FxLMS) algorithm for ANC systems, is based on minimization of the variance of the error signal. The impulsive noise can be modeled using non-Gaussian stable process for which second order moments do not exist. The FxLMS algorithm, therefore, becomes unstable for the impulsive noise. Among the existing adaptive algorithms for ANC of impulsive noise, one is based on the minimizing fractional lower order moment (p-power of error) that does exist for stable distributions, resulting in filtered-x least mean p-power (FxLMP) algorithm. Another solution is based on modifying; on the basis of statistical properties; the reference signal in the update equation of the FxLMS algorithm. In this paper, we discuss various variants of these two approaches. We see that using saturation nonlinearity in the reference and error signals of update equations of above-mentioned adaptive algorithms greatly improves the convergence performance. Yet as another solution, a modified normalized step-size may also be employed. Computer simulations demonstrate the effectiveness of the modified algorithms. We observe that the modified modifications greatly improve the robustness of existing adaptive algorithms for ANC of impulsive noise sources.

Original languageEnglish
Title of host publication40th International Congress and Exposition on Noise Control Engineering 2011, INTER-NOISE 2011
Pages2464-2471
Number of pages8
Volume3
Publication statusPublished - Dec 1 2011
Event40th International Congress and Exposition on Noise Control Engineering 2011, INTER-NOISE 2011 - Osaka, Japan
Duration: Sep 4 2011Sep 7 2011

Conference

Conference40th International Congress and Exposition on Noise Control Engineering 2011, INTER-NOISE 2011
CountryJapan
CityOsaka
Period9/4/119/7/11

Fingerprint

active control
error signals
moments
computerized simulation
nonlinearity
saturation
optimization

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

Cite this

Akhtar, M. T., & Mitsuhashi, W. (2011). Adaptive algorithms for active control of impulsive noise. In 40th International Congress and Exposition on Noise Control Engineering 2011, INTER-NOISE 2011 (Vol. 3, pp. 2464-2471)

Adaptive algorithms for active control of impulsive noise. / Akhtar, Muhammad Tahir; Mitsuhashi, Wataru.

40th International Congress and Exposition on Noise Control Engineering 2011, INTER-NOISE 2011. Vol. 3 2011. p. 2464-2471.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Akhtar, MT & Mitsuhashi, W 2011, Adaptive algorithms for active control of impulsive noise. in 40th International Congress and Exposition on Noise Control Engineering 2011, INTER-NOISE 2011. vol. 3, pp. 2464-2471, 40th International Congress and Exposition on Noise Control Engineering 2011, INTER-NOISE 2011, Osaka, Japan, 9/4/11.
Akhtar MT, Mitsuhashi W. Adaptive algorithms for active control of impulsive noise. In 40th International Congress and Exposition on Noise Control Engineering 2011, INTER-NOISE 2011. Vol. 3. 2011. p. 2464-2471
Akhtar, Muhammad Tahir ; Mitsuhashi, Wataru. / Adaptive algorithms for active control of impulsive noise. 40th International Congress and Exposition on Noise Control Engineering 2011, INTER-NOISE 2011. Vol. 3 2011. pp. 2464-2471
@inproceedings{b5558f95f93d400e8ef8dab61e9ce7cf,
title = "Adaptive algorithms for active control of impulsive noise",
abstract = "This paper deals with active noise control (ANC) for impulsive noise sources. The most famous filtered-x least mean square (FxLMS) algorithm for ANC systems, is based on minimization of the variance of the error signal. The impulsive noise can be modeled using non-Gaussian stable process for which second order moments do not exist. The FxLMS algorithm, therefore, becomes unstable for the impulsive noise. Among the existing adaptive algorithms for ANC of impulsive noise, one is based on the minimizing fractional lower order moment (p-power of error) that does exist for stable distributions, resulting in filtered-x least mean p-power (FxLMP) algorithm. Another solution is based on modifying; on the basis of statistical properties; the reference signal in the update equation of the FxLMS algorithm. In this paper, we discuss various variants of these two approaches. We see that using saturation nonlinearity in the reference and error signals of update equations of above-mentioned adaptive algorithms greatly improves the convergence performance. Yet as another solution, a modified normalized step-size may also be employed. Computer simulations demonstrate the effectiveness of the modified algorithms. We observe that the modified modifications greatly improve the robustness of existing adaptive algorithms for ANC of impulsive noise sources.",
author = "Akhtar, {Muhammad Tahir} and Wataru Mitsuhashi",
year = "2011",
month = "12",
day = "1",
language = "English",
isbn = "9781618392800",
volume = "3",
pages = "2464--2471",
booktitle = "40th International Congress and Exposition on Noise Control Engineering 2011, INTER-NOISE 2011",

}

TY - GEN

T1 - Adaptive algorithms for active control of impulsive noise

AU - Akhtar, Muhammad Tahir

AU - Mitsuhashi, Wataru

PY - 2011/12/1

Y1 - 2011/12/1

N2 - This paper deals with active noise control (ANC) for impulsive noise sources. The most famous filtered-x least mean square (FxLMS) algorithm for ANC systems, is based on minimization of the variance of the error signal. The impulsive noise can be modeled using non-Gaussian stable process for which second order moments do not exist. The FxLMS algorithm, therefore, becomes unstable for the impulsive noise. Among the existing adaptive algorithms for ANC of impulsive noise, one is based on the minimizing fractional lower order moment (p-power of error) that does exist for stable distributions, resulting in filtered-x least mean p-power (FxLMP) algorithm. Another solution is based on modifying; on the basis of statistical properties; the reference signal in the update equation of the FxLMS algorithm. In this paper, we discuss various variants of these two approaches. We see that using saturation nonlinearity in the reference and error signals of update equations of above-mentioned adaptive algorithms greatly improves the convergence performance. Yet as another solution, a modified normalized step-size may also be employed. Computer simulations demonstrate the effectiveness of the modified algorithms. We observe that the modified modifications greatly improve the robustness of existing adaptive algorithms for ANC of impulsive noise sources.

AB - This paper deals with active noise control (ANC) for impulsive noise sources. The most famous filtered-x least mean square (FxLMS) algorithm for ANC systems, is based on minimization of the variance of the error signal. The impulsive noise can be modeled using non-Gaussian stable process for which second order moments do not exist. The FxLMS algorithm, therefore, becomes unstable for the impulsive noise. Among the existing adaptive algorithms for ANC of impulsive noise, one is based on the minimizing fractional lower order moment (p-power of error) that does exist for stable distributions, resulting in filtered-x least mean p-power (FxLMP) algorithm. Another solution is based on modifying; on the basis of statistical properties; the reference signal in the update equation of the FxLMS algorithm. In this paper, we discuss various variants of these two approaches. We see that using saturation nonlinearity in the reference and error signals of update equations of above-mentioned adaptive algorithms greatly improves the convergence performance. Yet as another solution, a modified normalized step-size may also be employed. Computer simulations demonstrate the effectiveness of the modified algorithms. We observe that the modified modifications greatly improve the robustness of existing adaptive algorithms for ANC of impulsive noise sources.

UR - http://www.scopus.com/inward/record.url?scp=84867961414&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867961414&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84867961414

SN - 9781618392800

VL - 3

SP - 2464

EP - 2471

BT - 40th International Congress and Exposition on Noise Control Engineering 2011, INTER-NOISE 2011

ER -