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1、Signals&Systems(SecondEdition)—LearningInstructions(ExercisesAnswers)DepartmentofComputerEngineering2005.1217ContentsChapter1·······················································2Chapter2·······················································17Chapt
2、er3·······················································53Chapter4·······················································80Chapter5·······················································101Chapter6····················································
3、···127Chapter7·······················································137Chapter8·······················································150Chapter9·······················································158Chapter10······································
4、·················17817Chapter1Answers1.1ConvertingfrompolartoCartesiancoordinates:1.2convertingfromCartesiantopolarcoordinates:,,,,,1.3.(a)=,=0,because(b),.Therefore,===,17=(c)=cos(t).Therefore,===,=(d),.Therefore,==0，because<.(e)=,=1.therefore,==,=.(
5、f)=.Therefore,===,=1.4.(a)Thesignalx[n]isshiftedby3totheright.Theshiftedsignalwillbezeroforn<1,Andn>7.(b)Thesignalx[n]isshiftedby4totheleft.Theshiftedsignalwillbezeroforn<-6.Andn>0.(c)Thesignalx[n]isflippedsignalwillbezeroforn<-1andn>2.(d)Thesignalx[n
6、]isflippedandtheflippedsignalisshiftedby2totheright.ThenewSignalwillbezeroforn<-2andn>4.(e)Thesignalx[n]isflippedandtheflippedandtheflippedsignalisshiftedby2totheleft.Thisnewsignalwillbezeroforn<-6andn>0.1.5.(a)x(1-t)isobtainedbyflippingx(t)andshiftin
7、gtheflippedsignalby1totheright.Therefore,x(1-t)willbezerofort>-2.(b)From(a),weknowthatx(1-t)iszerofort>-2.Similarly,x(2-t)iszerofort>-1,Therefore,x(1-t)+x(2-t)willbezerofort>-2.(c)x(3t)isobtainedbylinearlycompressionx(t)byafactorof3.Therefore,x(3t)wil
8、lbezerofort<1.(d)x(t/3)isobtainedbylinearlycompressionx(t)byafactorof3.Therefore,x(3t)willbezerofort<9.1.6(a)x1(t)isnotperiodicbecauseitiszerofort<0.(b)x2[n]=1foralln.Therefore,itisperiodicwithafundamentalperiodof1.(c)x3[n]isasshownintheFigure
