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1、SpringerBriefsinElectricalandComputerEngineeringForfurthervolumes:http://www.springer.com/series/10059JacobBenesty•JingdongChenOptimalTime-DomainNoiseReductionFiltersATheoreticalStudy123Prof.Dr.JacobBenestyJingdongChenINRS-EMTNorthwesternPolytechnicalUniversityUniversityofQuebec127YouyiWestR
2、oaddelaGauchetiereOuest800Xian,Shanxi710072Montreal,H5A1K6,QCChinaCanadae-mail:jingdongchen@ieee.orge-mail:benesty@emt.inrs.caISSN2191-8112e-ISSN2191-8120ISBN978-3-642-19600-3e-ISBN978-3-642-19601-0DOI10.1007/978-3-642-19601-0SpringerHeidelbergDordrechtLondonNewYorkÓJacobBenesty2011Thisworki
3、ssubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcast-ing,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicationofthispublicationorpartsthereofispermittedo
4、nlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliabletoprosecutionundertheGermanCopyrightLaw.Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenin
5、theabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Coverdesign:eStudioCalamar,Berlin/FigueresPrintedonacid-freepaperSpringerispartofSpringerScience+BusinessMedia(www.springer.com)Contents1Introduction..................
6、......................11.1NoiseReduction..................................11.2OrganizationoftheWork............................2References..........................................22Single-ChannelNoiseReductionwithaFilteringVector........32.1SignalModel....................................32.
7、2LinearFilteringwithaVector.........................52.3PerformanceMeasures..............................62.3.1NoiseReduction.............................62.3.2SpeechDistortion............................82.3.3Mean-SquareError(MSE)Criterion........