ps4[ExamI]

# ps4[ExamI] - ECE 351 Systems I OSU Winter 2009 Feb 13 2009...

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ECE 351, Systems I Feb. 13, 2009 OSU, Winter 2009 Due: Feb. 23, 2009 Problem Set 4 Problem 1 For each of the following statements, answer True if the statement is always true, and answer False otherwise. If you answered True, provide a brief argument (e.g., you can cite a property given in class or in the textbook.). If you answered False, clearly state the reason or provide the correct answer. Answers without any justi±cation will get no credit. For parts (a)-(c) consider the following discrete-time impulse response: h [ n ] = 2 a n u [ n - b ] . (a) The system is BIBO stable for all a > 0. (b) The system is causal for all b > 0. (c) The system is memoryless for a = 1 2 and b > 0. For parts (d)-(f) consider the following two continuous-time signals. ( t ) x 2 ( t ) x 1 t t 1 1 1 1 1/2 -1 (d) x 1 ( t ) * x 2 ( t ) | t =1 = 0. (e) x 1 ( t ) * x 2 ( t ) | t =2 = 1. (f) x 1 ( t ) * x 2 ( t ) | t =1 / 2 = 0. For parts (g)-(j) consider the signal

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ps4[ExamI] - ECE 351 Systems I OSU Winter 2009 Feb 13 2009...

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