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finalv2_s09_soln

# finalv2_s09_soln - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL...

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PROBLEM SPR-08-F.1: - - Continuous-Time LTI System H.j!/ x.t/ y.t/ Suppose that the frequency response H.j!/ could be written in terms of a few parameters, e.g., H.j!/ D j! d a C j! where a and d are real-valued parameters. (a) Determine the impulse response of the system above when a D 3 and d D 2 . Determine the simplest possible formula for h.t/ . h.t/ D (b) Determine the output signal y.t/ when the input signal has a Fourier transform given by X.j!/ D 2 ı.! 6/ Once again assume that the parameters of the system are a D 3 and d D 2 . Determine a simple formula for the output y.t/ , which is complex-valued in this case. y.t/ D
PROBLEM SPR-08-F.2: The two subparts of this problem are completely independent of one another.

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