EX: Find the F.T. of the triangular pulse: g(t) = AA ( + ) Sols Apply differentiation property of F-T (jw)² G(W) = 2A (2² - 2 + (x²) (e -_-1) get) = 2A S(t+1)-4A S(t) + 2A S(t-1) The F.T for the both sides gives (JW) ³G (W) = 4A (e juz 8A w²t G(W) = − 4A ( cos w ² - 1) = SA ( cos w들 - = 2 2 sin wt 4 1) = 82 ( 1-05 0 ) 2 AT sin we Wt 4 2 24 AZ انه A ZA -44 8(1)-(2) 15 How did he get the value inside the circle =9c 7 2A F ~/N st
EX: Find the F.T. of the triangular pulse: g(t) = AA ( + ) Sols Apply differentiation property of F-T (jw)² G(W) = 2A (2² - 2 + (x²) (e -_-1) get) = 2A S(t+1)-4A S(t) + 2A S(t-1) The F.T for the both sides gives (JW) ³G (W) = 4A (e juz 8A w²t G(W) = − 4A ( cos w ² - 1) = SA ( cos w들 - = 2 2 sin wt 4 1) = 82 ( 1-05 0 ) 2 AT sin we Wt 4 2 24 AZ انه A ZA -44 8(1)-(2) 15 How did he get the value inside the circle =9c 7 2A F ~/N 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 pulse: g(t) = AA (+)
Sols Apply differentiation property of F-T
g(t) = 2A S(t+1)_4A S(t) + 2A S(t-I)
The F. I for the both sides gives.
(jw)² G (w) = 2A (NE_2 +2²)
(e
j들
(JW)³&(W) = 4A (2 ² + 2²
(e
2
G(W) = -4A
whe
- 8A
w²t
-₁)
8A
( cos 뜰 -1) = 82 (1-005)
2
sin wt
4
At sin wt
2
Wt
4
2
3/4
N
2A
T
ZA
0
0
8(1)-A(+)
=9c
How did he get the
value inside the circle
Hes
-9C2A
ہم تم
at
ot
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