102_1_Final-05[1]

102_1_Final-05[1] - UCLA Dept of Electrical Engineering...

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Unformatted text preview: UCLA Dept. of Electrical Engineering EE102: Systems and Signals Final Exam Thursday, June 16, 2005 Please, write your name and ID on the top of each sheet! This exam has 5 questions, for a total of 60 points. Answer the questions in the spaces provided on the question sheets. If you run out of room for an answer, continue on the back of the page. Name and ID: Name of person to your left: Name of person to your right: 1. The output of a linear, time-invariant system is y ( t ) = e- 2 t sin( t ) U ( t ) when the input is x ( t ) = δ ( t ) + U ( t ). (a) 5 points Find the transfer function H ( s ) of the system. (b) 5 points Find the frequency response H ( iω ) of the system. Is H ( iω ) = H ( s ) | s = iω ? Why? (c) 5 points The input x 1 ( t ) = 5 + cos( t ) + e- t U ( t ) is now applied to the system. Compute the corresponding output, y 1 ( t ). Page 1 of 5 Please go to next page. . . 2. A linear system S 1 is described by the following input-output relation y ( t ) = Z t-∞ 2 e- (...
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102_1_Final-05[1] - UCLA Dept of Electrical Engineering...

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