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1、SignalsandSystemsYouxinLv&JunjieWuSchoolofElectronicEngineeringExerciseLesson(PartI)1SignalProperties----Periodic,EvenandOddSystemProperties----Linear,Causal,Stable,Time-invariant,MemorylessPropertiesofDeltafunctionConvolution----Integral,Sum,PropertiesFourierS
2、eries----Properties,SystemoutputofanLTIMainPointsofMid-termExam2SignalPropertiesEx.1.1(2011’)FundamentalPeriodThefundamentalperiodof3SignalPropertiesEx.1.2(2011’)FundamentalPeriodThefundamentalperiodofthesignal4SignalPropertiesEx.1.3(2007’)FundamentalPeriodThef
3、undamentalperiodofthesignal5SignalPropertiesEx.1.4(2012)EvenandOddAcontinuous-timesignalisillustratedinFig.1,theoddpartofit?0-111tx(t)6SystemPropertiesEx.2.1(2012)Linear,Causal,Time-invariant,Stable,MemorylessConsideracontinuous-timesystemwithinputx(t)andoutput
4、y(t)relatedbyLinear?Time-invariant?Causal?Memoryless?Stable?7SystemPropertiesEx.2.2(2011)Linear,Causal,Time-invariant,Stable,MemorylessWhichofthefollowingsystemsarecausalandstablesystems?8SystemPropertiesEx.2.3(2011)Linear,Causal,Time-invariant,Stable,Memoryles
5、sDeterminethefollowingsignalswhichhavefinitetotalenergy9SystemPropertiesEx.2.4(2012)TheoutputofanLTIsystemConsideranLTIsystemwhoseresponsetothesignalinFig.2isthesignalinFig.3.DetermineandsketchtheresponseofthesystemtotheinputdepictedinFig.4t0112011t011t223-110S
6、ystemPropertiesEx.2.5(2011)TheoutputofanLTIsystemt0112011t011t2311PropertiesofDeltafunctionEx.3.1(2011’)Ex.3.2(2006’)SiftingProperty(筛选)12Ex.3.3(2007’)Ex.3.4(2012’)PropertiesofDeltafunction13ConvolutionEx.4.1(2011)Integral----continuous-timesignalTheconvolution
7、integralEx.4.2(2011)Theconvolutionintegral14ConvolutionEx.4.3(2011)Sum----discrete-timesignalConsideranLTIsystemwhoseinputx[n]andunitimpulseresponseh[n]aregivenbyEx.4.4(2012)Determinetheoutputofthissystem.ConsideranLTIsystemwhoseinputx[n]andunitimpulseresponseh
8、[n]aregivenbyDeterminetheoutputofthissystem.15ConvolutionEx.4.5(2011)PropertiesConsideranLTIsystemwithunitimpulseresponseh(t)illustratedinFig.1.Iftheinputis,theoutputis011t2
