信号与系统-半期试卷

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1、SIGNALSANDSYSTEMS一．(60points).Eachofthefollowingquestionsmayhaveoneortworightanswers,justifyyouranswersandwriteitintheblank.1.（）（a)(b)(c)(d)02.Iftheconvolutionintegral,thesignalx(t)mustbe()(a)(b)1(c)(d)3.ConsideranLTIsystemwhoseunitimpulseresponseh[n]aregivenby.Theoutputy[n]=x[n]*h[n]o

2、fthissystemis()(a)x[n](b)x[n-1](c)x[n+1](d)ax[n+1]4.ConsideranLTIsystemwithinputandoutputthroughtheequation.Whatistheimpulseh(t)forthissystem()(a)h(t)=cos(t+1)u(t+1)(b)h(t)=cos(t)u(t)(c)h(t)=cos(t-1)u(t-1)(d)h(t)=cos(t+1)5.Thefundamentalperiodofthesignalis（）（a）(b)(c)(d)6.Whichofthefoll

3、owingsystemsisanlinearsystem()(a)(b)(c)(d)7.Whichofthefollowingsystemsisnotastablesystem()(a)(b)(c)(d)8.Letand.TheFourierseriescoefficientsofx(t)maybe()(a)and(b)and(c)and(d)and9.Consideracontinuous-timeLTIsystemwhosefrequencyresponseis.Ifweinputaperiodicoddsignaltothissystem,andgettheo

4、utputy(t)=0,thentheperiodoftheinputsignalmaybe()(a)T=1(b)T=2(c)T=0.5(d)T=310.WhichofthefollowingLTIsystemsarecausalandstablesystem().Ineachexample,h[n]denotestheimpulseresponseofthefollowingsystems.(a)(b)(c)(d)2.（10分）Acontinuous-timesignalx(-3t+2)isillustratedinfigure2.(a)Determinethes

5、ignalx(t).(b)Sketchandlabelcarefullyx(t).x(-3t+2)1t01-1Figure13.(15分）ConsideranLTIsystemwhoseresponsetothesignalx1(t)infigure2isthesignaly1(t)illustratedinx2(t)Figure3.Determinetheresponsey2(t)totheinputsignalx2(t)depictedinfigure4.y2(t)x1(t)1.5111ttt-0.5101.510-0.51-0.50-1Figure2figur

6、e3figure44.(15points)Consideracontinuous-timeLTIsystemwhosefrequencyresponseH(jw)isillustratedinfigure5.Iftheinputsignal,determinetheoutputy(t)ofthissystem.Figure5ω0963-3-6-912