06FFinal

06FFinal - ECE 301, final exam of the session of Prof....

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Unformatted text preview: ECE 301, final exam of the session of Prof. Chih-Chun Wang 3:20-5:20pm Monday, April 28, 2008, CL50 224, 1. Enter your name, student ID number, e-mail address, and signature in the space provided on this page, NOW! 2. This is a closed book exam. 3. This exam contains both multiple-choice and work-out questions. The students are suggested not spending too much time on a single question, and working on those that you know how to solve. 4. There are 25 pages in the exam booklet. Use the back of each page for rough work. The last pages are all the Tables. You may rip the last pages for easier reference. Do not use your own copy of the Tables. Using your own copy of Tables will be considered as cheating. 5. Neither calculators nor help sheets are allowed. Name: Student ID: E-mail: Signature: Question 1: [30%] 1. [7.5%] What is the definition of an LTI system? If y [ n ] = ( x [ n ] + x [ n- 1]) 2 an LTI system? 2. [7.5%] Let x ( t ) = ∑ 100 n =0 δ ( t- πn ) and y [ n ] = R n t = n- 1 cos( t ) dt . Is x ( t ) periodic? Is y ( t ) periodic? 3. [7.5%] What is an impulse response? Write down one impulse response such that the corresponding LTI system is causal. 4. [7.5%] Consider an LTI system with the impulse response h ( t ) = δ ( t + 1). Is this system stable? Is this system invertible? Question 2: [40%] Consider an LTI system with impulse response h ( t ) = U ( t )-U ( t- 1). 1. [10%] Let x 1 ( t ) = cos(2 π ( t )), find out the output y 1 ( t ). 2. [10%] Let x 2 ( t ) = δ ( t + 5) + δ ( t- 5), find out the output y 2 ( t )....
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This note was uploaded on 02/07/2011 for the course ECE 301 taught by Professor V."ragu"balakrishnan during the Fall '06 term at Purdue.

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06FFinal - ECE 301, final exam of the session of Prof....

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