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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
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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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
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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