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1、Homework:9.29.59.79.89.99.139.21(a,b,i,j)9.22(a,b,c,d)9.289.319.329.339.359.451Chapter9ProblemSolution9.2Considerthesignal(a)Evaluate(b)29.5ForeachofthefollowingalgebraicexpressionsfortheLaplacetransformofasignal,determinethenumberofzeroslocatedinthefinites-planeandthenumber
2、ofzeroslocatedatinfinity:Chapter9ProblemSolution1,20,11,03Chapter9ProblemSolution9.7HowmanysignalshaveaLaplacetransformthatmaybeexpressedasinitsregionofconvergence?Poles:Therearefoursignals.4Chapter9ProblemSolution9.8LetbeasignalthathasarationalLaplacetransformwithexactlytwo
3、poles,locatedats=-1ands=-3.Ifandconvergence,determinewhetherisleftsided,rightsided,ortwosided.convergenceistwosided.5Chapter9ProblemSolution9.9DeterminetheinverseLaplacetransformof6Chapter9ProblemSolution9.13Let,whereandDeterminethevaluesoftheconstantsαandβ.7Chapter9ProblemS
4、olution9.21DeterminetheLaplacetransform.8Chapter9ProblemSolution9Chapter9ProblemSolution9.22Determinethefunctionoftime,10Chapter9ProblemSolution11④③②①Chapter9ProblemSolution9.28ConsideranLTIsystemforwhichthesystemfunctionhasthepole-patternshowninFigureP9.28.Indicateallpossib
5、leROCs.ForeachROC,specifywhethertheassociatedsystemisstableand/orcausal.Causal,unstablenoncausal,unstableanticausal,unstablenoncausal,stable12Chapter9ProblemSolution9.31Consideracontinuous-timeLTIsystem(a)Determine.(b)Determineforeachofthefollowingcases:1.Thesystemisstable.2
6、.Thesystemiscausal.3.Thesystemisneitherstablenorcausal.13Chapter9ProblemSolution9.32ConsideracausalLTIsystem,b——unknownconstantDeterminethesystemfunctionandb.SolutionCausalistheeigenfunctionofsystem.14Chapter9ProblemSolutionThesystemisunstable.15Chapter9ProblemSolution9.33Ac
7、ausalLTIsystemDetermineandsketchtheresponse16Chapter9ProblemSolution17Chapter9ProblemSolution9.35ConsideracausalLTIsystemwiththeinputandoutput.(a)Determineadifferentialequationrelatingand(b)Isthissystemstable?-6-1-2-1L1L218Chapter9ProblemSolutionThissystemisstable.19Chapter9
8、ProblemSolution9.45AnLTIsystem:DetermineanditsROC.20Chapter9ProblemSolution
