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matlab-滤波器-外文翻译-外文文献-英文文献-IIR数字滤波器的设计.doc

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IIRDigitalFilterDesign作者：SanjitK.Mitra国籍：USA出处：DigitalSignalProcessing-AComputer-BasedApproach3eAnimportantstepinthedevelopmentofadigitalfilteristhedeterminationofarealizabletransferfunctionG(z)approximatingthegivenfrequencyresponsespecifications.IfanIIRfilterisdesired,itisalsonecessarytoensurethatG(z)isstable.TheprocessofderivingthetransferfunctionG(z)iscalleddigitalfilterdesign.AfterG(z)hasbeenobtained,thenextstepistorealizeitintheformofasuitablefilterstructure.Inchapter8,weoutlinedavarietyofbasicstructuresfortherealizationofFIRandIIRtransferfunctions.Inthischapter,weconsidertheIIRdigitalfilterdesignproblem.ThedesignofFIRdigitalfiltersistreatedinchapter10.Firstwereviewsomeoftheissuesassociatedwiththefilterdesignproblem.AwidelyusedapproachtoIIRfilterdesignbasedontheconversionofaprototypeanalogtransferfunctiontoadigitaltransferfunctionisdiscussednext.Typicaldesignexamplesareincludedtoillustratethisapproach.WethenconsiderthetransformationofonetypeofIIRfiltertransferfunctionintoanothertype,whichisachievedbyreplacingthecomplexvariablezbyafunctionofz.Fourcommonlyusedtransformationsaresummarized.Finallyweconsiderthecomputer-aideddesignofIIRdigitalfilter.Tothisend,werestrictourdiscussiontotheuseofmatlabindeterminingthetransferfunctions.9.1preliminaryconsiderationsTherearetwomajorissuesthatneedtobeansweredbeforeonecandevelopthedigitaltransferfunctionG(z).Thefirstandforemostissueisthedevelopmentofareasonablefilterfrequencyresponsespecificationfromtherequirementsoftheoverallsysteminwhichthedigitalfilteristobeemployed.ThesecondissueistodeterminewhetheranFIRorIIRdigitalfilteristobedesigned.Inthesection,weexaminethesetwoissuesfirst.NextwereviewthebasicanalyticalapproachtothedesignofIIRdigitalfiltersandthenconsiderthedeterminationofthefilterorderthatmeetstheprescribedspecifications.Wealsodiscussappropriatescalingofthetransferfunction.9.1.1DigitalFilterSpecificationsAsinthecaseoftheanalogfilter,eitherthemagnitudeand/orthephase(delay)responseisspecifiedforthedesignofadigitalfilter