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**Unformatted text preview: **GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM DATE: 27-Apr-09 COURSE: ECE-2025 NAME: GT username: LAST, FIRST (ex: gpburdell3 ) 3 points 3 points 3 points Recitation Section: Circle the date & time when your Recitation Section meets (not Lab): L05:Tues-Noon (Bhatti) L06:Thur-Noon (Barry) L07:Tues-1:30pm (Bhatti) L08:Thur-1:30pm (Barry) L01:M-3pm (Chang) L09:Tues-3pm (Lee) L02:W-3pm (Fekri) L11:Tues-4:30pm (Lee) L04:W-4:30pm (Fekri) Write your name on the front page ONLY. DO NOT unstaple the test. Closed book, but a calculator is permitted. One page ( 8 1 2 00 11 00 ) of HAND-WRITTEN notes permitted. OK to write on both sides. Justify your reasoning clearly to receive partial credit. Explanations are also required to receive FULL credit for any answer. You must write your answer in the space provided on the exam paper itself. Only these answers will be graded. Circle your answers, or write them in the boxes provided. If space is needed for scratch work, use the backs of previous pages. Problem Value Score 1 20 2 20 3 20 4 20 5 20 6 20 7 20 8 20 9 20 10 20 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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