Convergence analysis of active noise control systems using root locus theory

Iman Tabatabaei Ardekani; Waleed H. Abdulla

Convergence analysis of active noise control systems using root locus theory

Iman Tabatabaei Ardekani, Waleed H. Abdulla

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

Abstract

This paper applies root locus theory in order to conduct a new convergence analysis for the stochastic FxLMS algorithm, without any simplifying assumption regarding the secondary path. The main steps to sketch the root locus of the FxLMS adaptation process are developed. Using the obtained root locus plot, the upper bound for the adaptation step-size beyond which the adaptation process becomes unstable is derived. The proposed bound applies to moving average secondary systems, while previously proposed ones only apply to pure delay secondary systems. Results obtained from this study are found to agree very well with those obtained from the numerical analysis and simulation results.

Original language	English
Title of host publication	Proceedings of the Second APSIPA Annual Summit and Conference
Publisher	Asia-Pacific Signal and Information Processing Association
Pages	141-144
Number of pages	4
Publication status	Published - 2010
Externally published	Yes
Event	2nd Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2010 - Biopolis, Singapore Duration: 14 Dec 2010 → 17 Dec 2010

Conference

Conference	2nd Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2010
Country/Territory	Singapore
City	Biopolis
Period	14/12/10 → 17/12/10

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http://www.apsipa.org/proceedings_2010/pdf/APSIPA26.pdfLicence: Unspecified

Cite this

@inproceedings{3f3481b651224196a4ed1b499346eeff,

title = "Convergence analysis of active noise control systems using root locus theory",

abstract = "This paper applies root locus theory in order to conduct a new convergence analysis for the stochastic FxLMS algorithm, without any simplifying assumption regarding the secondary path. The main steps to sketch the root locus of the FxLMS adaptation process are developed. Using the obtained root locus plot, the upper bound for the adaptation step-size beyond which the adaptation process becomes unstable is derived. The proposed bound applies to moving average secondary systems, while previously proposed ones only apply to pure delay secondary systems. Results obtained from this study are found to agree very well with those obtained from the numerical analysis and simulation results.",

author = "Ardekani, {Iman Tabatabaei} and Abdulla, {Waleed H.}",

year = "2010",

language = "English",

pages = "141--144",

booktitle = "Proceedings of the Second APSIPA Annual Summit and Conference",

publisher = "Asia-Pacific Signal and Information Processing Association",

note = "2nd Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2010 ; Conference date: 14-12-2010 Through 17-12-2010",

}

Ardekani, IT & Abdulla, WH 2010, Convergence analysis of active noise control systems using root locus theory. in Proceedings of the Second APSIPA Annual Summit and Conference. Asia-Pacific Signal and Information Processing Association, pp. 141-144, 2nd Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2010, Biopolis, Singapore, 14/12/10. <http://www.apsipa.org/proceedings_2010/pdf/APSIPA26.pdf>

Convergence analysis of active noise control systems using root locus theory. / Ardekani, Iman Tabatabaei; Abdulla, Waleed H.
Proceedings of the Second APSIPA Annual Summit and Conference. Asia-Pacific Signal and Information Processing Association, 2010. p. 141-144.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

TY - GEN

T1 - Convergence analysis of active noise control systems using root locus theory

AU - Ardekani, Iman Tabatabaei

AU - Abdulla, Waleed H.

PY - 2010

Y1 - 2010

N2 - This paper applies root locus theory in order to conduct a new convergence analysis for the stochastic FxLMS algorithm, without any simplifying assumption regarding the secondary path. The main steps to sketch the root locus of the FxLMS adaptation process are developed. Using the obtained root locus plot, the upper bound for the adaptation step-size beyond which the adaptation process becomes unstable is derived. The proposed bound applies to moving average secondary systems, while previously proposed ones only apply to pure delay secondary systems. Results obtained from this study are found to agree very well with those obtained from the numerical analysis and simulation results.

AB - This paper applies root locus theory in order to conduct a new convergence analysis for the stochastic FxLMS algorithm, without any simplifying assumption regarding the secondary path. The main steps to sketch the root locus of the FxLMS adaptation process are developed. Using the obtained root locus plot, the upper bound for the adaptation step-size beyond which the adaptation process becomes unstable is derived. The proposed bound applies to moving average secondary systems, while previously proposed ones only apply to pure delay secondary systems. Results obtained from this study are found to agree very well with those obtained from the numerical analysis and simulation results.

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M3 - Conference proceeding contribution

AN - SCOPUS:79958113168

SP - 141

EP - 144

BT - Proceedings of the Second APSIPA Annual Summit and Conference

PB - Asia-Pacific Signal and Information Processing Association

T2 - 2nd Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2010

Y2 - 14 December 2010 through 17 December 2010

ER -

Convergence analysis of active noise control systems using root locus theory

Abstract

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