A signal x(1) has a spectrum shown below: X(f) -2 2 fikHz)) a) Sketch the spectrum of the sampled signal if f.=5 kHz. b) If a LPF is used with cutoff frequency f=3 kHz. Will the original signal be recovered? Sketch the LPF output signal. c) Repeat parts (a) and (b) if f.=3 kHz.

A signal x(1) has a spectrum shown below: X(f) -2 2 fikHz)) a) Sketch the spectrum of the sampled signal if f.=5 kHz. b) If a LPF is used with cutoff frequency f=3 kHz. Will the original signal be recovered? Sketch the LPF output signal. c) Repeat parts (a) and (b) if f.=3 kHz.

EBK ELECTRICAL WIRING RESIDENTIAL

19th Edition

ISBN:9781337516549

Author:Simmons

Publisher:Simmons

Chapter25: Television, Telephone, And Low-voltage Signal Systems

Section25.3: Signal System

Problem 1R

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Concept explainers

Sample and Hold circuit

The sampling circuit and the holding circuit generate electrical samples as input and then hold these samples for a specified period. The time at which the sample and circuit holder produces the input signal sample is called the sampling time. Correspondingly, the length of the circuit that holds the sampled value is called the holding time.

Question

A signal x(t) has a spectrum shown below:
X(f)
-2
2
f(kHz))
a) Sketch the spectrum of the sampled signal if f=5 kHz.
b) If a LPF is used with cutoff frequency f=3 kHz. Will the original signal be recovered?
Sketch the LPF output signal.
c) Repeat parts (a) and (b) if f.=3 kHz.

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