Problem

Suppose that S is an LTI system whose exact form is unknown. It is tested by running some...

Suppose that S is an LTI system whose exact form is unknown. It is tested by running some inputs into the system, and then observing the output signals. Suppose that the following input-output pairs are the result of the tests:

Input: x[n]	Output: y[n]
δ[n] − δ[n − 1]	δ[n]− δ[n − 1] + 2δ[n − 3]
cos(πn/2)	2 cos(πn/2 − π/4)

(a) Make a plot of the signal:

(b) Use linearity and time invariance to find the output of the system when the input is

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Solutions For Problems in Chapter 5

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