A signal x(t) with period T, = 2 × 10¯³ s in Figure Q2(a) is passed through a low pass filter with the frequency response as per illustrated in Figure Q2(b) and Figure Q2(c). The input x(t) is given as: x(1) = +E• , а, cos (пnt) n=1 (a) Find the value of x(t) for 0 < n < 5 given that 2 sin An and bn = 0.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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|H(f)|
f(kHz)
-150
150
Figure Q2(b)
ZH(f)
2
f (kHz)
2
Figure Q2(c)
Transcribed Image Text:|H(f)| f(kHz) -150 150 Figure Q2(b) ZH(f) 2 f (kHz) 2 Figure Q2(c)
A signal x(t) with period T, = 2 x 10-5 s in Figure Q2(a) is passed through a low pass
filter with the frequency response as per illustrated in Figure Q2(b) and Figure Q2(c). The
input x(t) is given as:
Q2
x(t) =;+)
an cos (ant)
n=1
(a)
Find the value of x(t) for 0 < n < 5 given that
2
-sin
πη
and
bn = 0.
an
(b)
Determine the output of the filter y(t).
x(t)
...
t(10-5)
1 o 1 1 3 2
-2
3
-1
5
2
2
2
--
2
Figure Q2(a)
Transcribed Image Text:A signal x(t) with period T, = 2 x 10-5 s in Figure Q2(a) is passed through a low pass filter with the frequency response as per illustrated in Figure Q2(b) and Figure Q2(c). The input x(t) is given as: Q2 x(t) =;+) an cos (ant) n=1 (a) Find the value of x(t) for 0 < n < 5 given that 2 -sin πη and bn = 0. an (b) Determine the output of the filter y(t). x(t) ... t(10-5) 1 o 1 1 3 2 -2 3 -1 5 2 2 2 -- 2 Figure Q2(a)
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