HW3 - EE 341, Spring 2011 Problem Set 3: Due by 9:30am,...

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EE 341, Spring 2011 Problem Set 3: Due by 9:30am, Tuesday, April 19 Problem 1 Consider discrete-time LTI systems with input[] x n and output[] yn , defined by parts a-c below. For each of these systems, find the unit impulse response[] hn . In addition, determine, for each of the parts a-c, if the system is causal and determine if the system is stable. a) [] 2 [ 1 ] n nk k xk   b) 2 12 1 1 1 [ ] [ ] (a moving-average system) M MM kM xn k   c) [] 0 . 1[ 1 ] [] , 0 (a difference-equation system which is initially at rest) [ ] 0, 0 xn n n  Problem 2 Oppenheim, Willsky and Nawab, 2.21 (a), (c) and (d). For parts (a) and (c), find the expression for [] y n in closed-form (without summation signs). For part (d), you may draw y n . Problem 3 Oppenheim, Willsky and Nawab, 2.25 (b).
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This document was uploaded on 07/08/2011.

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