PROBLEM 7.4.* Consider an LTI system whose frequency response H(e1") is the real-valued function of ô shown below: A H(ej@) 2 -3T 3T 4 4 4 4 Find the system output when the system input is a[n] = (-1)". Find the system output when the system input is: (а) (b) x[n] = = 0.1 + 0.2cos(0.2rn) + 0.3cos(0.3rn) + 0.8cos(0.8tn).

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PROBLEM 7.4.* Consider an LTI system whose frequency response H(e®) is the real-valued
function of o shown below:
2,
1
-T
-3T
4
4
4
4
(а)
Find the system output when the system input is x[n] = (-1)".
(b)
Find the system output when the system input is:
x[n] = 0.1 + 0.2cos(0.2rn) + 0.3cos(0.3rn) + 0.8cos(0.8tn).
Transcribed Image Text:PROBLEM 7.4.* Consider an LTI system whose frequency response H(e®) is the real-valued function of o shown below: 2, 1 -T -3T 4 4 4 4 (а) Find the system output when the system input is x[n] = (-1)". (b) Find the system output when the system input is: x[n] = 0.1 + 0.2cos(0.2rn) + 0.3cos(0.3rn) + 0.8cos(0.8tn).
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