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Article: Performance analysis and design of FxLMS algorithm in broadband ANC system with online secondary-path modeling

TitlePerformance analysis and design of FxLMS algorithm in broadband ANC system with online secondary-path modeling
Authors
KeywordsActive noise control (ANC)
design
filtered-x LMS (FxLMS)
online secondary-path modeling
performance analysis
Issue Date2012
PublisherIEEE
Citation
IEEE Transactions on Audio, Speech and Language Processing, 2012, v. 20 n. 3, p. 982-993 How to Cite?
AbstractThe filtered-x LMS (FxLMS) algorithm has been widely used in active noise control (ANC) systems, where the secondary path is usually estimated online by injecting auxiliary noises. In such an ANC system, the ANC controller and the secondary-path estimator are coupled with each other, which make it difficult to analyze the performance of the entire system. Therefore, a comprehensive performance analysis of broadband ANC systems is not available currently to our best knowledge. In this paper, the convergence behavior of the FxLMS algorithm in broadband ANC systems with online secondary-path modeling is studied. Difference equations which describe the mean and mean square convergence behaviors of the adaptive algorithms are derived. Using these difference equations, the stability of the system is analyzed. Finally, the coupled equations at the steady state are solved to obtain the steady-state excess mean square errors (EMSEs) for the ANC controller and the secondary-path estimator. Computer simulations are conducted to verify the agreement between the simulated and theoretically predicted results. Moreover, using the proposed theoretical analysis, a systematic and simple design procedure for ANC systems is proposed. The usefulness of the theoretical results and design procedure is demonstrated by means of a design example. © 2012 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/139284
ISSN
2015 Impact Factor: 1.877
2015 SCImago Journal Rankings: 1.963
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChan, SCen_HK
dc.contributor.authorChu, Yen_HK
dc.date.accessioned2011-09-23T05:47:52Z-
dc.date.available2011-09-23T05:47:52Z-
dc.date.issued2012en_HK
dc.identifier.citationIEEE Transactions on Audio, Speech and Language Processing, 2012, v. 20 n. 3, p. 982-993en_HK
dc.identifier.issn1558-7916en_HK
dc.identifier.urihttp://hdl.handle.net/10722/139284-
dc.description.abstractThe filtered-x LMS (FxLMS) algorithm has been widely used in active noise control (ANC) systems, where the secondary path is usually estimated online by injecting auxiliary noises. In such an ANC system, the ANC controller and the secondary-path estimator are coupled with each other, which make it difficult to analyze the performance of the entire system. Therefore, a comprehensive performance analysis of broadband ANC systems is not available currently to our best knowledge. In this paper, the convergence behavior of the FxLMS algorithm in broadband ANC systems with online secondary-path modeling is studied. Difference equations which describe the mean and mean square convergence behaviors of the adaptive algorithms are derived. Using these difference equations, the stability of the system is analyzed. Finally, the coupled equations at the steady state are solved to obtain the steady-state excess mean square errors (EMSEs) for the ANC controller and the secondary-path estimator. Computer simulations are conducted to verify the agreement between the simulated and theoretically predicted results. Moreover, using the proposed theoretical analysis, a systematic and simple design procedure for ANC systems is proposed. The usefulness of the theoretical results and design procedure is demonstrated by means of a design example. © 2012 IEEE.en_HK
dc.languageengen_US
dc.publisherIEEE-
dc.relation.ispartofIEEE Transactions on Audio, Speech and Language Processingen_HK
dc.rights©2012 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.rightsIEEE Transactions on Audio, Speech and Language Processing. Copyright © IEEE.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectActive noise control (ANC)en_HK
dc.subjectdesignen_HK
dc.subjectfiltered-x LMS (FxLMS)en_HK
dc.subjectonline secondary-path modelingen_HK
dc.subjectperformance analysisen_HK
dc.titlePerformance analysis and design of FxLMS algorithm in broadband ANC system with online secondary-path modelingen_HK
dc.typeArticleen_HK
dc.identifier.emailChan, SC:scchan@eee.hku.hken_HK
dc.identifier.authorityChan, SC=rp00094en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/TASL.2011.2169789en_HK
dc.identifier.scopuseid_2-s2.0-84856255132en_HK
dc.identifier.hkuros195839en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84856255132&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume20en_HK
dc.identifier.issue3en_HK
dc.identifier.spage982en_HK
dc.identifier.epage993en_HK
dc.identifier.isiWOS:000304170300023-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChan, SC=13310287100en_HK
dc.identifier.scopusauthoridChu, Y=35098281800en_HK
dc.customcontrol.immutablejt 130506-

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