(t) Xp(t) Conversion to a sequence p(t) = (t - nT) n=-00 Conversion x[n] h[n]y[n] = to an Te(nT) H(e)ye(nT) impulse train = (A) Yp(t) T H(jw) # ye(t)
(t) Xp(t) Conversion to a sequence p(t) = (t - nT) n=-00 Conversion x[n] h[n]y[n] = to an Te(nT) H(e)ye(nT) impulse train = (A) Yp(t) T H(jw) # ye(t)
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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Question
![Sampling
Figure (A) shows the overall system for filtering a continuous-time signal using a discrete-
time filter. (Note that this is the same procedure we have always followed in this class!)
Plots of Xe(jw) (the original signal in the frequency domain) and H(e) (the discrete-time
filter) are shown in Figure (B). For this problem, assume that the sampling period, T, equals
0.05 seconds.
_x[n] =_ _h[n] |_y[n] =
TYD-3-6
re(nT) H(e) ye(nT)
sequence
Xp(t)
Conversion
to a
p(t) = (t - nT)
+∞o
in=-∞0
Xc (jw)
-30T
30π
(A)
(B)
Conversion
to an
impulse train
(a) Sketch Xp(jw). Be sure to accurately label both axes!
-T-
Yp(t) T
H(e)
[¨
π
NE
H(jw)
-FFFF
Ye(t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b5d3f26-cda5-43e5-8223-bfa02258241c%2Fa0359ff3-f974-483b-aaa4-c80fa2cc7c19%2F0b4trs9_processed.png&w=3840&q=75)
Transcribed Image Text:Sampling
Figure (A) shows the overall system for filtering a continuous-time signal using a discrete-
time filter. (Note that this is the same procedure we have always followed in this class!)
Plots of Xe(jw) (the original signal in the frequency domain) and H(e) (the discrete-time
filter) are shown in Figure (B). For this problem, assume that the sampling period, T, equals
0.05 seconds.
_x[n] =_ _h[n] |_y[n] =
TYD-3-6
re(nT) H(e) ye(nT)
sequence
Xp(t)
Conversion
to a
p(t) = (t - nT)
+∞o
in=-∞0
Xc (jw)
-30T
30π
(A)
(B)
Conversion
to an
impulse train
(a) Sketch Xp(jw). Be sure to accurately label both axes!
-T-
Yp(t) T
H(e)
[¨
π
NE
H(jw)
-FFFF
Ye(t)
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