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 (a) Make a plot of the signal (b) Use linearity and time invariance to find the output of the system when the input is Input x n Output y n n n 1 5 n n 1 25 n 3 COS(n 2) 2 os(n 2 4) y n 8 n 8 n 1 28 n 3 x n 78 n 78 n 2

Question: 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

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] [n] [n 1] | 5[n]- [n 1] +

(a) Make a plot of the signal

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

Input: x[n] Output: y[n] [n] [n 1] | 5[n]- [n 1] + 25[n 3] COS(n/2) 2 os(n/2 - /4) y[n] = 8[n] 8[n 1] + 28[n-3]. - x[n] = 78[n] - 78[n - 2]

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