Problem 13-3 A discrete-time LTI system has the frequency response shown below. 3.5 35 2.5 2 I 1.5 1 0.5 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 w/T (DT frequency normalized by x) 0.8 0.6 0.4 0.2元| H(e) 4 0 1.0.2 -0.4 -0.6π -0.8 "0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 w/T (DT frequency normalized by *) Suppose that the input to the system is the signal [n] defined below: [n] 3+ cos(0.3an) +5 cos(0.8xn) + 9 cos(0.5mm) +0.9mm Determine the output y[n] of the system. Provide a short justification explaining how you obtained your answer.

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Problem 13-3
A discrete-time LTI system has the frequency response shown below.
3.5
35
2.5
2
I 1.5
1
0.5
0
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2
w/T (DT frequency normalized by x)
0.8
0.6
0.4
0.2元|
H(e)
4
0
1.0.2
-0.4
-0.6π
-0.8
"0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2
w/T (DT frequency normalized by *)
Suppose that the input to the system is the signal [n] defined below:
[n] 3+ cos(0.3an) +5 cos(0.8xn) + 9 cos(0.5mm) +0.9mm
Determine the output y[n] of the system. Provide a short justification explaining how you obtained your
answer.
Transcribed Image Text:Problem 13-3 A discrete-time LTI system has the frequency response shown below. 3.5 35 2.5 2 I 1.5 1 0.5 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 w/T (DT frequency normalized by x) 0.8 0.6 0.4 0.2元| H(e) 4 0 1.0.2 -0.4 -0.6π -0.8 "0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 w/T (DT frequency normalized by *) Suppose that the input to the system is the signal [n] defined below: [n] 3+ cos(0.3an) +5 cos(0.8xn) + 9 cos(0.5mm) +0.9mm Determine the output y[n] of the system. Provide a short justification explaining how you obtained your answer.
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