EX: Find the F.T. of the triangular pulses g(t) = AA (+) Sols Apply differentiation property of F-T g(t) = 2A S(t+1)-4A S(t) + 2A S(t-1) The F. I for the both sides gives. j들 -jwz (jw)² G(w) = 2 (e juz jwz 들 (JW)³2(W) = 4A ( 2² +2 e T 8A -2+e № 2 sin wt G-(W) = -4A ( cos W = -1 =3A (1-CUSKE 24 8A 2A w²t 2 -₁) AT 2 WE -2A d 0 8(0) - () =9c |H| -9 24 w/er How did he get the value inside the circle ot st
EX: Find the F.T. of the triangular pulses g(t) = AA (+) Sols Apply differentiation property of F-T g(t) = 2A S(t+1)-4A S(t) + 2A S(t-1) The F. I for the both sides gives. j들 -jwz (jw)² G(w) = 2 (e juz jwz 들 (JW)³2(W) = 4A ( 2² +2 e T 8A -2+e № 2 sin wt G-(W) = -4A ( cos W = -1 =3A (1-CUSKE 24 8A 2A w²t 2 -₁) AT 2 WE -2A d 0 8(0) - () =9c |H| -9 24 w/er How did he get the value inside the circle ot st
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:EX: Find the F.T. of the triangular pulses g(t)=AA(+)
Sols Apply differentiation property of F-T
g(t) = 2A S(t+1)-4A S(t) + 2A S(t-1)
T
The F. I for the both sides gives.
jwz
jwz
(jw)² G(w) = 24 (²
juz juz
들
(JW)³ G(W) = 4A (e
+
2
_SA_ sin WE
.8A
wt
4
-2+e
2
-₁)
G(W) = -4A ( COS WE-1 =3A (1-CUS KE)
8A
w²t
2
KK
AT
2
3
WE
2A
-2A
d
-4A
세요
10
8(0)-A()
0
2
=gc
N/H
-9C2A
IF
N/N
How did he get the
value inside the circle
ot
st
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