EE 341, Spring 2011 Problem Set 3: Due by 9:30am, Tuesday, April 19 Problem 1 Consider discrete-time LTI systems with inputx nand outputyn, defined by parts a-c below. For each of these systems, find the unit impulse responsehn. 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]nnkkxkb) 212111[ ] (a moving-average system)MMMkMxn kc)  0.1[ 1] ,0(a difference-equation system which is initially at rest)[ ]0, 0xnnnProblem 2Oppenheim, Willsky and Nawab, 2.21 (a), (c) and (d). For parts (a) and (c), find the expression for y nin closed-form (without summation signs). For part (d), you may draw y n. Problem 3Oppenheim, Willsky and Nawab, 2.25 (b).
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