A continuous-time signal x(t) is sampled every T, second by an impulse train to generate the sampled signal s(t) G(a)) p(t)=E 8(t – kT,) s(t) v(t). x(t) H(@) a) Assume G(@) is the spectrum of a real signal g(t). Sketch the spectrum S(@) of the sampled signal s(t) when x(t) =g(t) and T, = 27 seconds. b) Assuming the frequency response of the reconstruction filter H(ω)- 2πτοct (ω / 2): Sketch the spectrum V(@) of the output signal v(t). i. ii. Specify whether the original signal g(t) is recovered from its samples. c) Sketch the spectrum V(@) of the output signal v(t) for the input x(t) = g(t/2).
A continuous-time signal x(t) is sampled every T, second by an impulse train to generate the sampled signal s(t) G(a)) p(t)=E 8(t – kT,) s(t) v(t). x(t) H(@) a) Assume G(@) is the spectrum of a real signal g(t). Sketch the spectrum S(@) of the sampled signal s(t) when x(t) =g(t) and T, = 27 seconds. b) Assuming the frequency response of the reconstruction filter H(ω)- 2πτοct (ω / 2): Sketch the spectrum V(@) of the output signal v(t). i. ii. Specify whether the original signal g(t) is recovered from its samples. c) Sketch the spectrum V(@) of the output signal v(t) for the input x(t) = g(t/2).
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Signals and system
Sampling
Transcribed Image Text:A continuous-time signal x(t) is sampled every T, second by an impulse train to
generate the sampled signal s(t)
G(a)
p(t)=E 8(t – kT,)
s(t)
v(t)
x(t)
H(@)
a) Assume G(@) is the spectrum of a real signal g(t). Sketch the spectrum S(@)
of the sampled signal s(t) when x(t) =g(t) and T, = 27 seconds.
b) Assuming the frequency response of the reconstruction filter
H(ω) -2πτοct (ω / 2) :
i.
Sketch the spectrum V(@) of the output signal v(t).
ii.
Specify whether the original signal g(t) is recovered from its samples.
c) Sketch the spectrum V(@) of the output signal v(t) for the input
x(t)
g(t/2).
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