信号与系统10-1

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1、Chapter10Thez-transformDefinitionandpropertiesSignaltransformSystemexpressionSystemresponseTransformpairDefinition10.1TheDefinitionandbasictransformpairsRelationbetweenz-transformandLaplacetransformRelationbetweenz-transformandLaplacetransformaxisUnitcircleBasictra

2、nsformpairswhenBasictransformpairswhenBasictransformpairswhen10.2Theregionofconvergence(ROC)Eachz-transformmustbelinkedwitharegionofconvergence(ROC)andonlyvalidinitsROC!TheexpressionofROCTheregionofconvergencemaybeexpressedasfollows:Foragiven,thereisonlyoneROC!Ther

3、eisnopolesinROC!ThreepossibleROCs!TherelationbetweenpolesandROCPole-zeroplotTherelationofROCwiththeregionoftimesignaltwosidedleftsidedrightsidedfinitedurationringinsideoutsideentireplane10.3Propertiesofthez-transformTimeshiftingLinearitycomparePropertiesofthez-tran

4、sformScalinginz-domaincomparePropertiesofthez-transformTimereversalConvolutioncomparePropertiesofthez-transformDifferentiationinz-domaincompare