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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.

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.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**5.1-3** A signal \( f(t) = \text{sinc}(200\pi t) \) 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.
Transcribed Image Text:**5.1-3** A signal \( f(t) = \text{sinc}(200\pi t) \) 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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