数字信号处理 chapter08答案

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1、Chapter8DSPAlgorithmImplementationDeshuangZhaoInstituteofAppliedPhysics,SchoolofPhysicalElectronics,UESTCdszhao@uestc.edu.cn;dsp_uestc@163.com2011.05.122011/5/111Chapter8DSPAlgorithmImplementationTextbookS.K.Mitra，DigitalSignalProcessing_AComputer-BasedA

2、pproach（thefifthversion），清华大学出版社，2001年9月.ISBN：7-302-04546-1/TN.119Readings[1]DigitalSignalProcessingPrinciples,Algorithms,andApplications（thefourthversion）,JohnG.Proakis,DimitrisG.Manolakis,电子工业出版社，2007[2]A.V.Oppenheim著，刘树棠、黄建国译:Discrete-TimeSignalProces

3、sing,西安交通大学出版社，20022011/5/1122OutlineMatrixRepresentationofDigitalFilterStructureComputationoftheDiscreteFourierTransformFastFourierTransform(FFT)2011/5/113Notice:SkippedSections8.28.48.58.68.78.82011/5/114Chapter8DSPAlogrithm•Objective(1)Capable

4、ofusingMatrixrepresentationtodeterminethecomputabilityoftheequationsdescribingadigitalfilterstructure(2)Capableofdrawingprecedencegraphforacomputabledigitalstructure(3)UnderstandtheprincipleoftheFastFourierTransformalgorithm2011/5/1158.0Introduction2011/5

5、/116Introduction•TwotypesofDSPalgorithm:(1)filteringalgorithm(2)signalanalysisalgorithm•Realization:(1)hardware(digitalcircuity)(2)firmware(read-only-memorychip)(3)software(computerprogram)2011/5/1178.1BasicIssuesforDigitalFilterAlgorithm8.1.1MatrixRepres

6、entationoftheDigitalFilterStructureDigitalfilterdescription:differenceequationintimedomain.Problem:Aretheycomputable?Example:AcascadedlatticedigitalstructureW1WX211YzzWWW5432011/5/1188.1BasicIssuesforDigitalFilterAlgorithm8.1.1MatrixRepresentatio

7、noftheDigitalFilterStructureExample:AcascadedlatticedigitalstructureW1WX211YzzWWW543★Equationsfordigitalfilter:WzXz15()()Wz()wnxn15[][]wn[]WzWz215()()Wz()wnwn[][]wn[]2131WzzWz()()wnwn[][1]3232WzWzWz()()()wnwn[][]wn[]4324321

8、wnwn[][1]WzzWz54()()54Yz()Wz()Wz()y[]nw[]nw[]n15152011/5/1198.1BasicIssuesforDigitalFilterAlgorithm8.1.1MatrixRepresentationoftheDigitalFilterStructureProblem:isthefollowingequationscomputable?Answer:Why?