102_1_S09-102-A-PAST-Final

102_1_S09-102-A-PAST-Final - EE-102A PAST FINALQUESTION 1...

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Unformatted text preview: EE-102A PAST FINALQUESTION 1 (40%)(Each part is stand-alone)(i)(15 points) A systemSis described by the IPOP relation:y(t) =Zt[e(t)+ 1]x()d,t >t >:x(t)[S]y(t)Write down the differential equation relating inputx(t) and outputy(t).Find theFRFH(i) ofS.Letx(t) =(t)2etU(t)be the input toSand lety(t) be the corresponding outputt >:x(t) =(t)2etU(t)[S]y(t)Calculate the amplitude|Y(i)|and the phase () of the Fourier TransformY(i) of the outputy(t).(ii)(5 points) Compute the signalf(t) whose Fourier TransformF(i)is given in terms of itsamplitude:|F(i)|=1for1 <,=,for <1,=otherwise,and itsphase:()=2, <,=2,.1(iii) (20 points)(10 points) Letf(t) be a periodic signal with period T. LetFn,n= 0,1,2, . . . ,be the Fourier Coecients off(t). Iff(t) is real then tell us in details aboutthe FS off(t)....
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This note was uploaded on 03/29/2011 for the course ELECTRICAL EE102 taught by Professor Levan during the Spring '09 term at UCLA.

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102_1_S09-102-A-PAST-Final - EE-102A PAST FINALQUESTION 1...

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