For a rectangular wave train signal: :- kTo x(t) = E where To > a > 0. rect a

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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For a rectangular wave train signal:
t – kTo
=(1) = Ë rect (T)
-
Σ
where To > a > 0.
a
k=-00
Transcribed Image Text:For a rectangular wave train signal: t – kTo =(1) = Ë rect (T) - Σ where To > a > 0. a k=-00
Show that
x(t)
= rect
E 8(t – kTo),
as a convolution;
k=-00
Find its CTFT F{x(t)} = X(w);
If x (t) is inputed into a brick-wall low-pass filter, i.e. the output Fourier transform
is
Y (w) = rect ). x (w),
b
where b = 67/To, determine the output signal y(t) in time-domain and also sketch
it.
Transcribed Image Text:Show that x(t) = rect E 8(t – kTo), as a convolution; k=-00 Find its CTFT F{x(t)} = X(w); If x (t) is inputed into a brick-wall low-pass filter, i.e. the output Fourier transform is Y (w) = rect ). x (w), b where b = 67/To, determine the output signal y(t) in time-domain and also sketch it.
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