信号与系统复习.ppt

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1、SignalsandSystemsSectionIFundamentalsContinuoussignalsanddiscretesignalsPeriodicsignalsandaperiodicsignals★Transformationsoftheindependentvariable★Theunitimpulseandunitstepfunction★Linearity,timeinvariance,causalityandstability★PropertiesofunitimpulsefunctionSec

2、tionIILTISystemsDescribesystemswithdifferentialanddifferenceequationsZero-stateandzero-inputresponse★Concept★Solution:LaplacetransformResponsestounitimpulseandunitstepfunctionsConvolutionintegralandconvolutionsumCalculationandgraphicdemonstration★Convolutionandu

3、nitimpulseSectionIIITheFourierTransformRepresentperiodicsignalswithFourierSeries★Why?Spectrumofperiodicsignals；RepresentaperiodicsignalswithFourierTransformConvergenceofFSorFTFTofsomespecialsignals★Unitimpulse,rectangularpulse,exponentialsignal…★PropertiesofFTDu

4、ality,scaling,shiftintimeandinfrequency,convolution,differentialintime★FTofperiodicsignals★FrequencyresponseofLTIsystems★Idealow-passfilterTimedomainandfrequencydomain★SamplingSectionIVTheLaplaceTransformWhatistheLaplaceTransformofaconcernedsignal?★WhatistheROCo

5、ftheLT?★PropertiesofROCForcausalandstablesystemsPropertiesofLT★DifferentiationintheTime-domain,Initialvalue★ILTbypartial-fractionalexpansion；UnilateralLT★SolvingDifferentialequations☆Systemfunctionins-domain☆TherelationshipbetweenLTandFTSectionVTheZ-Transform★Th

6、eZ-transformandcorrespondingROCThepropertiesofROCThepropertiesoftheZT★TheIZTbypartial-fractionalexpansion★SolvingdifferenceequationsbytheZT☆SystemsfunctionsintheZ-domain☆FrequencyresponseindiscretesystemsThanksforyourcooperationinthissemester!