Ex: Find the F. T. of the periodic rectangular pulse shown below X(t) Sols -To Cn=c -212 1 1/1 (n = 1 sin(n=2²) * It T₁=2, T=1 + (n = + sin() = + sine (WT). Wo=TT Cn ntt 2 _n=o+C₁ = 1₁ n is even +10/1/ X (W) = 2πT ½ sinc(1) S (W-NTT) I n To How did he get the value inside the circle

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 19E
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Ex: Find the F. To of the periodic rectangular pulse shown
below
X(t)
Sols
Cn=1
1 = 1/ sin(n+1)
nào c
n is even
THIN
* It T₁=2, I=1 + (n = 1/²
Cn
52n=0
-To
-212
1
ntt
2
812
sin (1) = sine (1) g Wo = πT
1
To
X(W) = 2π = ½ sinc(11) S(W-nπ)
I
p
How did he get the
value inside the circle
Transcribed Image Text:Ex: Find the F. To of the periodic rectangular pulse shown below X(t) Sols Cn=1 1 = 1/ sin(n+1) nào c n is even THIN * It T₁=2, I=1 + (n = 1/² Cn 52n=0 -To -212 1 ntt 2 812 sin (1) = sine (1) g Wo = πT 1 To X(W) = 2π = ½ sinc(11) S(W-nπ) I p How did he get the value inside the circle
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