信号与系统_奥本海默_华科_电信系_英文_试卷（完整版）(文档可以直接使用，也可根据实际需要修改使用,可编辑欢迎下载）TESTOFHUAZHONGUNIVERSITYOFSCIENCE&TECHNOLOGY(A)Course:SIGNALS&SYSTEMS(ClosedBook)(2008/05/24)SPECIALTY_________CLASS_________NAME__________No.____________No.ofQuestions12345678TotalScore(20points)Considerthefollowingproblems,thenfillintheblanks.(2pointsforeachblank)Score(a)__________________;(b)Thefundamentalperiodofsequenceis________________;(c)Ifacontinuous-timesystemisdefinedby,thenwecandeterminethatit’sa(linear/nonlinear)_____________,(timeinvariant/timevariant)_________________,(causal/noncausal)_____________system;(d)Consideradiscrete-timesystemwiththeinputandoutputrelationshipbeing,iftheinput,hereisanarbitraryrealorcomplexnumber,theoutput___________;(e)IfanLTIsystemwithimpulseresponseisinvertible,anditsinversesystemhasanimpulseresponse,thenwehave______________;(f)Theconstantcomponentofthecontinuous-timeperiodicsignalis________;(g)AsignalwithFouriertransformundergoesimpulse-trainsampling.Iffor,thentheNyquistsamplingperiodis___________second;(h)ConsiderasignalwithFT.Iffor,thenforsignalwithFT,theremustbefor_________.-101t212．(10points)isshowninFigure1,sketchandlabelcarefullythesignalsand.ScoreFigure1(8points)VerifythatiftheinputsignaltoanLTIsystemisperiodicwithperiod,thentheoutputisalsoaperiodicsignalwiththesameperiod.Score4.(10points)Score(a)EvaluatetheLaplacetransformofsignalandspecifyitsROC.(b)Evaluatetheinversez-transformof.5.(10points)Considerthediscrete-timeperiodicsequence,determineitsFourierseriescoefficientsanditsFouriertransform,andplotand.Score6.(10points)Consideranideallow-passfilterwithfrequencyresponse.Supposethattheinputsignal,pleaseanswerthefollowingquestions:(a)Determinetheoutputinthecaseof;(b)Determinetheoutputinthecaseof;(c)Inwhichcase,theinputsignalisnotdistorted?Andevaluateinthiscase.Score7.(16points)SupposewearegiventhefollowinginformationaboutacausalLTIsystemdescribedbyalinearconstant-coefficientsecond-orderdiffe