A signal f(t) = sinc (200rt) is sampled (using uniformly spaced impulses) at a rate of (a) 150 Hz (b) 200 Hz (c) 300 Hz. For each of the three cases (i) sketch the spectrum of the sampled signal, (ii) explain if you can recover the signal f(t) from the sampled signal, (iii) if the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz, sketch the spectrum of the output signal.

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A signal f(t) = sinc (200rt) is sampled (using uniformly spaced impulses) at a rate of
(a) 150 Hz (b) 200 Hz (c) 300 Hz. For each of the three cases (i) sketch the spectrum
of the sampled signal, (ii) explain if you can recover the signal f(t) from the sampled
signal, (iii) if the sampled signal is passed through an ideal lowpass filter of bandwidth
100 Hz, sketch the spectrum of the output signal.
%3D
Transcribed Image Text:A signal f(t) = sinc (200rt) is sampled (using uniformly spaced impulses) at a rate of (a) 150 Hz (b) 200 Hz (c) 300 Hz. For each of the three cases (i) sketch the spectrum of the sampled signal, (ii) explain if you can recover the signal f(t) from the sampled signal, (iii) if the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz, sketch the spectrum of the output signal. %3D
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