301 - NAME:__________________________________ ECE 301...

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Unformatted text preview: NAME:__________________________________ ECE 301 Division 2 Exam 1 Solutions, 9/29/2010. This is a closed-book exam. No calculators are allowed. You have 1 hour 45 minutes to complete FOUR problems. All problems are multiple-choice. We will only grade the answers. We will not grade any explanations for the answers. Please do NOT provide any explanations for your answers. Please do NOT write anything other than the answers. Scratch paper is provided which you can use to solve the problems. There will not be any discussion of grades. All re-grade requests must be submitted in writing, as stated in the course information handout. Problem Points Score 1 10 2 20 3 10 4 10 TOTAL 50 1-1 1 2 3 4 0.5 1 1.5 2 t x 1 (t)-1 1 2 3 4 0.5 1 1.5 2 t y 1 (t) x 1 response to x 1-1 1 2 3 4 0.5 1 1.5 2 t x 2 (t)-1 1 2 3 4 0.5 1 1.5 2 t y 2 (t) x 2 response to x 2-1 1 2 3 4 0.5 1 1.5 2 t x 3 (t)-1 1 2 3 4 0.5 1 1.5 2 t y 3 (t) x 3 response to x 3 Figure 1: Three input signals for Problem 1 (left column) and the corresponding system responses (right column). Problem 1 (10 points). Three input-output pairs for a system are given in Fig. 1: the responses of the system to the input signals x 1 , x 2 , and x 3 , are, respectively, y 1 , y 2 , and y 3 . All these six signals are zero for t <- 1 and for t > 4. Assume that x 1 (0) = x 2 (0) = x 3 (2) = y 3 (2) = 1 and that x 1 (1) = x 2 (2) = x 3 (3) = y 1 (1) = y 2 (2) = y 3 (3) = 0. It is given that the system is linear. Answer each of the following multiple-choice questions by circling the correct answer. a (2 points). A. The system is memoryless. B. The system could be memoryless. C. The system is not memoryless. b (2 points). A. The system is causal. B. The system could be causal. C. The system is not causal. 2 c (2 points). A. The system is BIBO stable. B. The system could be BIBO stable. C. The system is not BIBO stable. d (2 points). A. The system is time-invariant. B. The system could be time-invariant. C. The system is not time-invariant. e (2 points). Given the following input signal x ( t ) = 1 , t < 1 2 , 1 t < 2 , otherwise A. the systems response to x is y A ( t ) = 1 , t < 1 2 , 1 t < 2 , otherwise B. the systems response to x is y B ( t ) = t, t <...
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This note was uploaded on 02/14/2012 for the course ECE 301 taught by Professor V."ragu"balakrishnan during the Fall '06 term at Purdue University-West Lafayette.

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301 - NAME:__________________________________ ECE 301...

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