Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Please help with answering part d of this question, thanks

Consider the system for discrete-time processing of a continuous-time signal with
sampling period T. Operations include A/D and D/A as shown in the figures below.
xc(t)
x[n]
y[n]
Ye(t)
A/D
G(w)
D/A
Xc()
G(w)
1
S2
3-
-8kHz 8πkHz
-π/4
π/4
p(t)
xc(t)
Convert to
sequence
| x[n] = xc(nTs)
yn Sequence to
T
impulse train (T)
-T/T
H(S)
/T
Ye(t)
Ω
The filter G(w) is the low-pass filter shown in Figure below. The Fourier transform of x(t),
X() is as shown. Sketch accurately the following transforms given a sampling frequency of
8 kHz:
(a) Xp()
(b) X(w)
(c) Y(w)
(d) Ye(n)
expand button
Transcribed Image Text:Consider the system for discrete-time processing of a continuous-time signal with sampling period T. Operations include A/D and D/A as shown in the figures below. xc(t) x[n] y[n] Ye(t) A/D G(w) D/A Xc() G(w) 1 S2 3- -8kHz 8πkHz -π/4 π/4 p(t) xc(t) Convert to sequence | x[n] = xc(nTs) yn Sequence to T impulse train (T) -T/T H(S) /T Ye(t) Ω The filter G(w) is the low-pass filter shown in Figure below. The Fourier transform of x(t), X() is as shown. Sketch accurately the following transforms given a sampling frequency of 8 kHz: (a) Xp() (b) X(w) (c) Y(w) (d) Ye(n)
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