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数字信号处理英文课件Chapter9.pdf

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Chapter9:IIRDitigitalFilterDesign CHAPTER9IIRDIGITALFILTERDESIGN1Introduction TECHNIQUES •IIRdigitalfiltersarecharacterizedbythefollowing: NM ynaynkbxnk =–¦k–+¦k–(3.1) kk 1.Introduction..............................................................................2=1=0 –1–M b+++bz}bMz 2.ClassicalIIRfilterdesignmethods..........................................3Hz=-----------------------------------------------------------01(3.2) az–1az–N 2.1AnalogFiltercharacteristics..............................................41+++1}N NM– 2.2Impulseinvarianttransformation.................................15bzzz–}zz–zz–M Hz=----------------------------------------------------------------------------------012(3.3) zpzpzp 2.3BilinearTransformation..............................................22–1}–2–N 3.SpectraltransformationsofIIRfilter.....................................29•SimpleIIRfiltercanbedesignedbypole-zeroplacement. 4.Suggestedreadings.................................................................33 •IIRfiltersareusedwhensharpcutoffandhighthroughputarethe 5.Problems..................................................................................34importantrequirements. A.Bouzerdoum Page2of36 Chapter9:IIRDitigitalFilterDesignTechniquesChapter9:IIRDitigitalFilterDesignTechniques 2ClassicalIIRFilterDesignMethods2.1AnalogFilterSpecifications •Theclassicalapproachinvolvesthetransformationofananalog filterintoadigitalIIRfiltermeetingprescribedspecifications. StopbandattenuationA=–20logδ •Suchanapproachisusefulforthreemainreasons.ss ()δ 1.Theartofanalogfilterdesignishighlyadvanced;thus,itis1PassbandrippleAp=–20log1–p advantageoustousethedesignproceduresofanalogfilters.δ–0.05A 1–pδs s=10 2.Manyusefulanalogdesignmethodshaverelativelysimple δ–0.05Ap designformulas.Therefore,digitalfilterdesignmethodsbasedp=110– onsuchanalogdesignformulasarerathereasytoimplement. δ 3.Inmanyapplicationsitisofinteresttouseadigitalfiltertos simulatetheperformanceofananalogfilter.Ω ΩΩ •Someofthetransf