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EE 301B_ final

EE 301B_ final - EE 301A(DR JONCKHEERE FINAL Closed books...

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1 EE 301A (DR. JONCKHEERE) FINAL Closed books, closed notes, calculators allowed. Three 1 1 2 1 8 × (2-sided) sheets of notes (“memory aid”) allowed. Show all work to get full credit. As a reminder, University policy is zero tolerance for cheating in exams. Name (Last, First, Middle Initial):_________________________________ e-mail address:________________________________________________ Maximum possible Scores Problem 1 (Fourier) 25 Problem 2 (discrete Fourier) 25 Problem 3 (Laplace) 25 Problem 4 (Laplace) 25 Total 100
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2 Problem 1 (25 points). Consider a hypothetical LTI system with real transfer function H( j ϖ ) defined as below: a) (15 points). Without computing the inverse Fourier transform h(t), that is, the impulse response of the system, evaluate dt e t t t h jt - π sin ) (
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3 b) (10 points). Compute the output of the system to the following input: ) 1 2 sin( 1 ) ( - = t t x
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4 Problem 2 (25 points). A discrete-time, causal, LTI system with impulse response ] [ 3 1 ] [ 1 n u n h n = , where u[n] is the discrete unit step, is
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