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1、*.信号与系统练习题集第一部分:信号与系统的时域分析一、填空题1.().2.Theunitstepresponseisthezero-stateresponsewhentheinputsignalis().3.Giventwocontinuous–timesignalsx(t)andh(t),iftheirconvolutionisdenotedbyy(t),thentheconvolutionofandis().4.Theconvolution().5.Theunitimpulseresponseisthezero-
2、stateresponsewhentheinputsignalis().6.Acontinuous–timeLTIsystemisstableifitsunitimpulseresponsesatisfiesthecondition:().7.Acontinuous–timeLTIsystemcanbecompletelydeterminedbyits().8.().9.Giventwosequencesand,theirconvolution().10.GiventhreeLTIsystemsS1,S2andS3,t
3、heirunitimpulseresponsesare,andrespectively.Now,constructanLTIsystemSusingthesethreesystems:S1parallelinterconnectedbyS2,thenseriesinterconnectedbyS3.theunitimpulseresponseofthesystemSis().11.Itisknownthatthezero-statresponseofasystemtotheinputsignalx(t)is,thent
4、heunitimpulseresponseh(t)is().12.ThecompleteresponseofanLTIsystemcanbeexpressedasasumofitszero-stateresponseandits()response.13.ItisknownthattheunitstepresponseofanLTIsystemis,thentheunitimpulseresponseh(t)is().14.().15.Wecanbuildacontinuous-timeLTIsystemusingth
5、efollowingthreebasicoperations:(),(),and().16.Thezero-stateresponseofanLTIsystemtotheinputsignalis*.,wheres(t)istheunitstepresponseofthesystem,thentheunitimpulseresponseish(t)=().17.Theblockdiagramofacontinuous-timeLTIsystemisillustratedinthefollowingfigure.Thed
6、ifferentialequationdescribingtheinput-outputrelationshipofthesystemis().+--+2318.Therelationshipbetweentheunitimpulseresponseh(t)andunitstepresponses(t)iss(t)=(),orh(t)=().二、选择题1.Foreachofthefollowingequations,()istrue.A、B、C、D、2.Giventwocontinuous-timesignalsand
7、,iftheconvolutionofandisdenotedby,thentheconvolutionofsignalsandis().A.B.C.D.3.TheunitimpulseresponseofanLTIsystemish(t)=,thissystemis().A.causalandstableB.causalandunstableC.noncausalandunstableD.noncausalandstable4.=().A.1B.3C.9D.05.ForanLTIsystem,iftheinputsi
8、gnalis,thecorrespondingoutputresponseis,iftheinputsignalis,thecorrespondingoutputresponseis.Andiftheinputsignalis,thecorrespondingoutputresponseis(aandbarearbitraryre