Consider the sequence h[n] of Fourier transform H(w) = w² for all wE [-T, T7] as illustrated in the figure. T 34 .H(w) T Is it possible to find c so that the LTI system of impulse response g[n] = h[n] + co[n] cancels the input shown below? If so, show how you derive it. If not, explain why

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Consider the sequence h[n] of Fourier transform H() = w²
for all w E [-T, T] as illustrated in the figure.
3
H(w)
S
O
3
Is it possible to find c so that the LTI system of impulse response g[n] = h[n] + co[n] cancels
the input shown below? If so, show how you derive it. If not, explain why
1
n
T
M
Transcribed Image Text:Consider the sequence h[n] of Fourier transform H() = w² for all w E [-T, T] as illustrated in the figure. 3 H(w) S O 3 Is it possible to find c so that the LTI system of impulse response g[n] = h[n] + co[n] cancels the input shown below? If so, show how you derive it. If not, explain why 1 n T M
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