= An analog signal x(t), whose spectrum Ŷ (ƒ) is shown below, is sampled with the impulse train p(t) = Σn=∞ (t - nT) [use ƒ instead of w]. What is the minimum sampling rate to be able to recover the original signal x(t) from xp(t) x(t)p(t)? For this sampling rate, sketch Ŷp(f) and the frequency response of the reconstruction filter, Hr(f), that must be used to obtain x(t) = x(t). [Hint: The answer is not 26kHz!] X(jw)↑ 1 -13 -10-6 6 10 13 w [kHz]

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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=
An analog signal x(t), whose spectrum Ŷ (ƒ) is shown below, is sampled
with the impulse train p(t) = Σn=∞ (t - nT) [use ƒ instead of w]. What is the
minimum sampling rate to be able to recover the original signal x(t) from xp(t)
x(t)p(t)? For this sampling rate, sketch Ŷp(f) and the frequency response of the
reconstruction filter, Hr(f), that must be used to obtain x(t) = x(t). [Hint: The
answer is not 26kHz!]
X(jw)↑
1
-13 -10-6
6 10 13
w [kHz]
Transcribed Image Text:= An analog signal x(t), whose spectrum Ŷ (ƒ) is shown below, is sampled with the impulse train p(t) = Σn=∞ (t - nT) [use ƒ instead of w]. What is the minimum sampling rate to be able to recover the original signal x(t) from xp(t) x(t)p(t)? For this sampling rate, sketch Ŷp(f) and the frequency response of the reconstruction filter, Hr(f), that must be used to obtain x(t) = x(t). [Hint: The answer is not 26kHz!] X(jw)↑ 1 -13 -10-6 6 10 13 w [kHz]
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