重大信号与系统作业.doc

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1、SignalsandSystemChap11.6Determinewhetherornoteachofthefollowingsignalsisperiodic:(a):(b):(c):1.9Determinewhetherornoteachofthefollowingsignalsisperiodic,Ifasignalisperiodic,specifyitsfundamentalperiod:(a):(b):(c):(d):(e):1.14consideraperiodicsignalwithperio

2、dT=2.Thederivativeofthissignalisrelatedtothe“impulsetrain”,withperiodT=2.Itcanbeshownthat.Determinethevaluesof,,,.1.15.ConsiderasystemSwithinputx[n]andoutputy[n].ThissystemisobtainedthroughaseriesinterconnectionofasystemS1followedbyasystemS2.Theinput-output

3、relationshipsforS1andS2areS1:S2:Whereanddenoteinputsignals.(a)Determinetheinput-outputrelationshipforsystemS.(b)Doestheinput-outputrelationshipofsystemSchangeiftheorderinwhichS1andS2areconnectedinseriesisreversed(ie,ifS2followsS1)?1.16.Consideradiscrete-tim

4、esystemwithinputx[n]andoutputy[n].Theinput-outputrelationshipforthissystemis(a)Isthesystemmemoryless?(b)Determinetheoutputofthesystemwhentheinputis,whereAisanyrealorcomplexnumber.(c)Isthesysteminvertible?1.17.Consideracontinuous-timesystemwithinputx(t)andou

5、tputy(t)relatedby(a)Isthissystemcausal?(b)Isthissystemlinear?1.21.Acontinous-timesignalisshowninFigureP1.21.Sketchandlabelcarefullyeachofthefollowingsignals:(a):(b):(c):(d):(e):(f):1.22.Adiscrete-timesignalisshowninFigureP1.22.Sketchandlabelcarefullyeachoft

6、hefollowingsignals:(a):(b):(c):(d):(e):(f):(g):(h):1.25.Determinewhetherornoteachofthefollowingcontinuous-timesignalsisperiodic.Ifthesignalisperiodic,determineitsfundamentalperiod.(a):(b):(c):(d):(e):(f):1.26.Determinewhetherornoteachofthefollowingdiscrete-

7、timesignalsisperiodic.Ifthesignalisperiodic,determineitsfundamentalperiod.(a):(b):(c):(d):(e):Chap22.1LetandComputeandploteachofthefollowingconvolutions:(a)(b)(c)2.3Consideraninputx[n]andaunitimpulseresponseh[n]givenbyDetermineandplottheoutput2.7Alinearsyst

8、emShastherelationshipBetweenitsinputx[n]anditsoutputy[n],whereg[n]=u[n]-u[n-4].(a)Determiney[n]where(b)Determiney[n]where(c)IsSLTI?(d)Determiney[n]whenx[n]=u[n]2.10SupposethatAnd,where.(a)Determineands