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Unformatted text preview: Question 6: [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 x [ n ] looks like. Then use the linearity of the system and the result of the previous sub-question.) 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
- infinite sum