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# hw4 - x n looks like Then use the linearity of the system...

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ECE 301, Homework #4, due date: 2/08/2012 https://engineering.purdue.edu/ chihw/12ECE301S/12ECE301S.html Question 1: [Basic] p. 61, Problem 1.27 (a,b,c) Question 2: [Basic] p. 61, Problem 1.28 (a,b,c). Question 3: [Basic] p. 62, Problem 1.28 (e,f,g). Question 4: [Basic] Consider a linear time-invariant system. Suppose we know that when the input is x [ n ] = δ [ n ], the output y [ n ] = 2 n e - jn U [ n - 1]. 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
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Unformatted text preview: x [ n ] looks like. Then use the linearity of the system and the result of the previous sub-question.) Question 5: [Advanced] p. 62, Problem 1.30(a,b,c,e). Question 6: [Advanced] p. 62, Problem 1.30(f,g,j,n). Question 7: [Basic] p. 62, Problem 1.31. Question 8: [Advanced] Solve p. 69, Problem 1.43(a). Take a look at Problem 1.43(b) but no need to turn it in. For the later part of this semester, we will introduce new techniques that can solve Problem 1.43(b) Question 9: [Optional] There is no need to turn in this question. p. 68, Problem 1.42....
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