HW#5

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Signals and Systems 15 September 2010 Fall 2010 Quiz: Tuesday 21 September 2010 Homework Assignment #5 1. Are the following systems BIBO stable? Justify your answer. (a) (E 2 3E 2) y ( k ) x ( k ) (b) (10E 2 3E 2) y ( k ) (E 2){ x ( k )} (c) (E 2 1.2E 0.2) y ( k ) x ( k ) (d) (E 3 3E 2 3E 1) y ( k ) (E 2 0.1E){ x ( k )} 2. Find the simulation diagrams and transfer functions of the systems having the following impulse responses: (a) h ( k ) 2 , 0 2 , 1 k k (b) h ( k ) 0 , 0 0 , 1 k k (c) h ( k ) 1 , 0 1 , 1 k k (d) h ( k ) 2 , 0 2 , 1 k k (e) h ( k ) otherwise 0 2 , 3 1 , 2 0 , 1 k k k 3. Use a convolutional sum to find the zero-state response of an LTI system to a unit step sequence if the system impulse response is (a) h ( k )
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