The Fourier Transform of a continuous time signal x(t) which is bandlimited with maximum frequency m= 5007 (rad/sec) is shown in below figure. x(t) is sampled with an impulse train at sampling frequency of Fs-250 Hz. Draw the sampled signal's Fourier transform. Determine if it can be recovered with any of the filtering methods, low pass filtering band pass filtering, or high pass filtering. If so what should be the cutoff frequency ? -500T Χ(Ω) 1 500 T Q2 [rad/s]

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2)
The Fourier Transform of a continuous time signal x(t) which is
bandlimited with maximum frequency Qm= 500n (rad/sec) is shown in
below figure. x(t) is sampled with an impulse train at sampling frequency
of Fs=250 H7. Draw the sampled signal's Fourier transform. Determine if
it can be recovered with any of the filtering methods, low pass filtering
band pass filtering, or high pass filtering. If so what should be the cutoff
frequency ?
X(Ω)
1
O [rad/s]
-5007
500 T
Transcribed Image Text:2) The Fourier Transform of a continuous time signal x(t) which is bandlimited with maximum frequency Qm= 500n (rad/sec) is shown in below figure. x(t) is sampled with an impulse train at sampling frequency of Fs=250 H7. Draw the sampled signal's Fourier transform. Determine if it can be recovered with any of the filtering methods, low pass filtering band pass filtering, or high pass filtering. If so what should be the cutoff frequency ? X(Ω) 1 O [rad/s] -5007 500 T
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