中南大学信号与系统考试2007

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1、学院专业班级学号姓名---○---○------○---○---…………评卷密封线………………密封线内不要答题，密封线外不准填写考生信息，违者考试成绩按0分处理………………评卷密封线…………中南大学考试试卷（A）2007~2008学年上学期信号与系统课程时间110分钟64学时，4学分，闭卷，总分100分，占总评成绩70%题号一二三四五六七八九十合计得分评卷人复查人得分评卷人一、判断题(本题10分，每小题2分)（对的打√，错的打×）1.Foranycasualsignals,UnilateralLT=Bilateral

2、LT.()2.Iftheinput-outputrelationshipofasystemis,thenthesystemisacausalsystem.()3.IfistheLTofacontinuoustimesignal,thentheFTofthesignalis.()4.Ifanabsolutelyintegrablesignalisknowntohaveapoleat,thencouldberightsided.()5.IfallpolesofacontinuousLTIsystemarelocatedo

3、ntheleftS-plane,thenthesystemmustbestable.()得分评卷人二、填空题(本题20分，每小题2分)1．Let,thenthelowestsamplingfrequencyofis()Hz.2．Compute().3．If,then().4．Given，thentheunilateralLTofis().45.If，then().6．Thesystemfunctionofadelayunitis（）；Thesystemfunctionofaintegratoris（）7．Theaxi

4、sinS-planeiscorrespondingtothe()inZ-plane.8．TheLTofis（）；TheZTofis().9．TheFTofis().10.IftheinputtoanLTIsystemisandif,then()，herearepolesofsystemfunctionH(z).得分评卷人三、计算题(本题40分，每小题8分)1.Letand.Computeandplot.2.AcausalandstableLTIsystemShasthefrequencyresponse.(a)Det

5、ermineadifferentialequationrelatingtheinputandoutputofS.(b)DeterminetheimpulseresponseofS.4学院专业班级学号姓名---○---○------○---○---…………评卷密封线………………密封线内不要答题，密封线外不准填写考生信息，违者考试成绩按0分处理………………评卷密封线…………3.Suppose,and.Iftheproductispassedthroughanideallowpassfilterwithcutofffreq

6、uencyandpassbandgainof2,determinethesignalobtainedattheoutputofthelowpassfilter.4Letimpulsetrain,DetermineitsFS,FTanddrawthespectrum.5．AccordingFig.1,determinethesystemfunctionandtheunitimpulseresponse.Fig.14得分评卷人四、综合题（本题30分，每小题各15分）R=1.5ΩL=0.5Hx(t)y(t)C=1F+-+-

7、1.ConsidertheRLCcircuitFig.2.(1)Determinethezero-stateresponseofthiscircuitwhentheinputvoltageis.(2)Determinethezero-inputresponseofvoltagefor,giventhatand.(3)Determinetheoutputofthecircuitwhentheinputvoltageisandtheinitialconditionisthesameastheonespecifiedinp

8、art(2).Fig.22.ConsideracausalLTIsystemwhoseinputandoutputarerelatedthroughthedifferenceequation.(a)Determinethesystemfunctionandunitresponse.(b)Designthissystem(Drawaz-domai