Analysis of Frequency Mismatch in Narrowband Active Noise Control
This paper analyzes the effects of frequency mismatch between the actual frequency of the primary noise and the frequency of the synthesized reference signal in narrowband active noise control (ANC) systems using the filtered-X least-mean-square (FXLMS) algorithm. Two stability conditions are derive...
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| Veröffentlicht in: | IEEE transactions on audio, speech, and language processing speech, and language processing, 2010-08, Vol.18 (6), p.1632-1642 |
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| container_title | IEEE transactions on audio, speech, and language processing |
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| creator | Hyeon-Jin Jeon Tae-Gyu Chang Kuo, Sen M |
| description | This paper analyzes the effects of frequency mismatch between the actual frequency of the primary noise and the frequency of the synthesized reference signal in narrowband active noise control (ANC) systems using the filtered-X least-mean-square (FXLMS) algorithm. Two stability conditions are derived in terms of the frequency mismatch and the phase error of the estimated secondary-path model. Conditions to guarantee that ANC systems can achieve noise reduction are also developed by considering the overall effect of frequency mismatch and phase error. The optimum step-size to reach the minimum excess mean-square error is obtained and analyzed. Theoretical analysis shows that the noise reduction and convergence rate are functions of frequency mismatch, step size, and phase error in the secondary-path model for the FXLMS algorithm. Computer simulations are conducted to verify the analysis results presented in the paper. |
| doi_str_mv | 10.1109/TASL.2009.2038815 |
| format | Article |
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Two stability conditions are derived in terms of the frequency mismatch and the phase error of the estimated secondary-path model. Conditions to guarantee that ANC systems can achieve noise reduction are also developed by considering the overall effect of frequency mismatch and phase error. The optimum step-size to reach the minimum excess mean-square error is obtained and analyzed. Theoretical analysis shows that the noise reduction and convergence rate are functions of frequency mismatch, step size, and phase error in the secondary-path model for the FXLMS algorithm. Computer simulations are conducted to verify the analysis results presented in the paper.</description><identifier>ISSN: 1558-7916</identifier><identifier>ISSN: 2329-9290</identifier><identifier>EISSN: 1558-7924</identifier><identifier>EISSN: 2329-9304</identifier><identifier>DOI: 10.1109/TASL.2009.2038815</identifier><identifier>CODEN: ITASD8</identifier><language>eng</language><publisher>Piscataway, NJ: IEEE</publisher><subject>Active noise reduction ; Algorithm design and analysis ; Applied sciences ; Computer errors ; Control system analysis ; Control system synthesis ; Detection, estimation, filtering, equalization, prediction ; Exact sciences and technology ; Filtered-X least mean square (FXLMS) ; Frequency estimation ; frequency mismatch ; Frequency synthesizers ; Information, signal and communications theory ; Miscellaneous ; Narrowband ; narrowband active noise control ; Noise reduction ; Signal analysis ; Signal and communications theory ; Signal processing ; Signal, noise ; Telecommunications and information theory</subject><ispartof>IEEE transactions on audio, speech, and language processing, 2010-08, Vol.18 (6), p.1632-1642</ispartof><rights>2015 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Aug 2010</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c323t-657f9d7b5d861453f75df92b2d06babe6ffdc45a560a0865c4d41fd4f5b9491e3</citedby><cites>FETCH-LOGICAL-c323t-657f9d7b5d861453f75df92b2d06babe6ffdc45a560a0865c4d41fd4f5b9491e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5356227$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5356227$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=23047448$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Hyeon-Jin Jeon</creatorcontrib><creatorcontrib>Tae-Gyu Chang</creatorcontrib><creatorcontrib>Kuo, Sen M</creatorcontrib><title>Analysis of Frequency Mismatch in Narrowband Active Noise Control</title><title>IEEE transactions on audio, speech, and language processing</title><addtitle>TASL</addtitle><description>This paper analyzes the effects of frequency mismatch between the actual frequency of the primary noise and the frequency of the synthesized reference signal in narrowband active noise control (ANC) systems using the filtered-X least-mean-square (FXLMS) algorithm. Two stability conditions are derived in terms of the frequency mismatch and the phase error of the estimated secondary-path model. Conditions to guarantee that ANC systems can achieve noise reduction are also developed by considering the overall effect of frequency mismatch and phase error. The optimum step-size to reach the minimum excess mean-square error is obtained and analyzed. Theoretical analysis shows that the noise reduction and convergence rate are functions of frequency mismatch, step size, and phase error in the secondary-path model for the FXLMS algorithm. Computer simulations are conducted to verify the analysis results presented in the paper.</description><subject>Active noise reduction</subject><subject>Algorithm design and analysis</subject><subject>Applied sciences</subject><subject>Computer errors</subject><subject>Control system analysis</subject><subject>Control system synthesis</subject><subject>Detection, estimation, filtering, equalization, prediction</subject><subject>Exact sciences and technology</subject><subject>Filtered-X least mean square (FXLMS)</subject><subject>Frequency estimation</subject><subject>frequency mismatch</subject><subject>Frequency synthesizers</subject><subject>Information, signal and communications theory</subject><subject>Miscellaneous</subject><subject>Narrowband</subject><subject>narrowband active noise control</subject><subject>Noise reduction</subject><subject>Signal analysis</subject><subject>Signal and communications theory</subject><subject>Signal processing</subject><subject>Signal, noise</subject><subject>Telecommunications and information theory</subject><issn>1558-7916</issn><issn>2329-9290</issn><issn>1558-7924</issn><issn>2329-9304</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kE1LAzEQhoMoWKs_QLwExOPWfO_muBSrQq0H63nJ5gNTtpuabC3996a09DIzMM87vPMCcI_RBGMkn5f113xCEJK50KrC_AKMMOdVUUrCLs8zFtfgJqUVQowKhkegrnvV7ZNPMDg4i_Z3a3u9hx8-rdWgf6Dv4ULFGHat6g2s9eD_LFwEnyychn6IobsFV051yd6d-hh8z16W07di_vn6Pq3nhaaEDoXgpZOmbLmpBGacupIbJ0lLDBKtaq1wzmjGFRdIoUpwzQzDzjDHW8kktnQMHo93NzFkl2loVmEbs_vUYETym5xSlil8pHQMKUXrmk30axX3GWoOSTWHpJpDUs0pqax5Ol1WSavORdVrn85CQhErGasy93DkvLX2vOaUC0JK-g_Z53DY</recordid><startdate>20100801</startdate><enddate>20100801</enddate><creator>Hyeon-Jin Jeon</creator><creator>Tae-Gyu Chang</creator><creator>Kuo, Sen M</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| subjects | Active noise reduction Algorithm design and analysis Applied sciences Computer errors Control system analysis Control system synthesis Detection, estimation, filtering, equalization, prediction Exact sciences and technology Filtered-X least mean square (FXLMS) Frequency estimation frequency mismatch Frequency synthesizers Information, signal and communications theory Miscellaneous Narrowband narrowband active noise control Noise reduction Signal analysis Signal and communications theory Signal processing Signal, noise Telecommunications and information theory |
| title | Analysis of Frequency Mismatch in Narrowband Active Noise Control |
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