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1、CICFilterIntroductionMatthewP.Donadiom.p.donadio@ieee.org18July2000ForFreePublicationbyIowegian1IntroductionAsdataconvertersbecomefasterandfaster,theapplicationofnarrow-bandextractionfromwidebandsources,andnarrow-bandconstructionofwidebandsignalsisbecomingmoreimportant.Thesefu
2、nctionsrequiretwobasicsignalprocessingprocedures:decimationandinterpolation.Andwhiledigitalhardwareisbecomingfaster,thereisstilltheneedforecientsolutions.Techniquesfoundin[CR83]workverywellinpractice,butlargeratechangesrequireverynarrowbandlters.Largeratechangesrequirefastmu
3、ltipliersandverylonglters.ThiscanendupbeingthelargestbottleneckinaDSPsystem.In[Hog81],anecientwayofperfomingdecimationandinterpolationwasintroduced.Hogenauerdeviseda
exible,multiplier-freeltersuitableforhardwareimplementation,thatcanalsohandlearbitraryandlargeratechanges.Th
4、eseareknownascascadedintegrator-comblters,orCICltersforshort.Thispapersumarizesthendingspublishedin[Hog81].Anoverviewcanalsobefoundin[Fre94].AnextensionofCICltershasbeenpublishedin[KJW97],andisbrie
ymentionedhere.Whenindoubt,thereadershouldrefertothesesources.2BuildingBloc
5、ksThetwobasicbuildingblocksofaCIClterareanintegratorandacomb.Anintegratorissimplyasingle-poleIIRlterwithaunityfeedbackcoecient:y[n]=y[n