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Unformatted text preview: Question 6: [Basic] Consider a linear timeinvariant system. Suppose we know that when the input is x [ n ] = δ [ n ], the output y [ n ] = 2 n ejn U [ n1]. Solve the following questions in order. 1. If the input is x [ n ] = δ [ n1], what is the output y [ n ]? (Hint: Use the timeinvariance property.) 2. If the the input is x [ n ] = U [ n ]U [ n2], 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 subquestion.) Question 7: [Advanced] p. 62, Problem 1.30(a,b,c,e). Question 8: [Advanced] p. 62, Problem 1.30(f,g,j,n). Question 9: [Basic] p. 62, Problem 1.31....
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 Fall '06
 V."Ragu"Balakrishnan
 infinite sum

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