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1、Test(Chapter1,2,3,4)参考答案I.Blankfilling(Totalscores60,eachscores5.)1、(70%)2、(96%)3、(92%)4、Piecewisefunctioncanbecomprisedbyrectangularwindowfunctions(可以用矩形窗函数构造分段函数).Considerasignal,theevencomponentofis=,theoddcomponentofis=(46%)(92%)5、Considerasignal,and,so。(Expressyouranswerbyrectangularwindowfunct
2、ionlikeI.4)先做微分(76%)6、Necessaryandsufficientconditionsforstabilityofthesystemisitsimpulseresponseshouldbe【int(f(x),-inf,inf)=】(37%)7、considerasignal,则(ExpressyouranswerbyrectangularwindowfunctionlikeI.4)(87%)8、KnownFouriertransformoff(t)is,sotheFouriertransformofis。(71%)9、TheFouriertransformofis(83%
3、)10、AsystemSwithinputandoutputrelatedbyistimeinvariantwhile=.Constant(6%)11、,thenofis2T(73%)II.Singlechoice(Totalscores24,eachscores6.)1.Theequivalentexpressionofis(D)A:B:C:D:2.RefertotheFouriertransformof,todeterminewhentheFouriertransformofis,thenis(B)A:B:C:D:3.Theinpute(t)andoutputr(t)ofacontinuo
4、ussystemisregulatedbyr(t)=e(t+2),thenthesystemis(D)A:causal,time-variant,linear,stableB:causal,time-invariant,nonlinear,unstableC:non-causal,time-variant,linear,stableD:non-causal,time-invariant,linear,stable4.Theinputf(t)andoutputr(t)ofasystemisgovernedby,thenthesystemis(B)A:Linearandtime-invariant
5、systemB:Linearandtime-variantsystemC:Nonlinearandtime-invariantsystemD:Nonlinearandtime-variantsystemIII.TrueorFalse.(Totalscore16,eachscores2.)1.Ifsysteminputis,thenthesystemislinear.T2.If(foranyn),andkisaknownconstant,thentheLTIsystemwithunitimpulseresponseh[n]isstable.F3.TheFouriertransformofreal
6、evensignalisalsoarealevenfunction.T4.Foranysystem,theimpulseresponsecompletelydescribesitsbehavior.F5.Ifh(t)istheunitimpulseresponseofaLTIsystem,andh(t)isperiodicandnon-zero,thenthesystemisunstable.T6.Thesummationoftwoperiodicsignalsisalsoaperiodicsignal.F7.LTIsystemmustbecausal.F8.TheFouriertransfo
7、rmofarealoddsignalisapurelyimaginaryandoddfunctionoffrequency.T