Problem 13-1 A discrete-time LTI system has the impulse response h[n] given below: 씨씨씨 + 10-21 (a) Sketch the impulse response h[n]. (b) Find an expression for H(), the frequency response of the system. (c) Sketch the frequency response magnitude, i.e., sketch |H(e)| for-2 <<+2x. (d) Determine the output of this system when the input is a[n] given below: = |n] 2+ cos * (*) + +3 cos n- for all n 2

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Problem 13-1
A discrete-time LTI system has the impulse response h[n] given below:
씨씨씨 + 10-21
(a) Sketch the impulse response h[n].
(b) Find an expression for H(), the frequency response of the system.
(c) Sketch the frequency response magnitude, i.e., sketch |H(e)| for-2 <<+2x.
(d) Determine the output of this system when the input is a[n] given below:
=
|n] 2+ cos
* (*) +
+3 cos n-
for all n
2
Transcribed Image Text:Problem 13-1 A discrete-time LTI system has the impulse response h[n] given below: 씨씨씨 + 10-21 (a) Sketch the impulse response h[n]. (b) Find an expression for H(), the frequency response of the system. (c) Sketch the frequency response magnitude, i.e., sketch |H(e)| for-2 <<+2x. (d) Determine the output of this system when the input is a[n] given below: = |n] 2+ cos * (*) + +3 cos n- for all n 2
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