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Unformatted text preview: ECE 301, Homework #4, due date: 2/10/2010 http://cobweb.ecn.purdue.edu/ ∼ chihw/10ECE301S/10ECE301S.html Question 1: p. 61, Problem 1.27 (d,e,f). Question 2: p. 62, Problem 1.28 (b,c,f,g). Question 3: Consider a linear time-invariant system. Suppose we know that when the input is x [ n ] = δ [ n ], the output y [ n ] = e- ( n- 2) U [ n- 2]. Solve the following questions in order. 1. If the input is x [ n ] = δ [ n- 1], what is the output y [ n ]? (Hint: Use the time-invariance property.) 2. If the the input is x [ n ] = U [ n ]-U [ n- 2], what is the output y [ n ]? (Hint: First plot the signal, and see what x [ n ] looks like. Then use the linearity of the system and the result of the previous sub-question.) Question 4: p. 62, Problem 1.30(a,c,f,k,m). Question 5: p. 62, Problem 1.31. Question 6: p. 69, Problem 1.43. Question 7: p. 141, Problem 2.21 (a,c). Question 8: p. 141, Problem 2.22 (b,d)....
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- Spring '06
- LTI system theory