IF.T for the signal shown below:

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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* 30.ul zain IQ
HW FT.pdf
Homework of Fourier Transform
Q1: Find F.T for the signal shown below:
ATA.
2
4
-2
Ans. (8 cos3aw - 4 cos4w – 4 cos2w)/w?
Q2: Find inverse F.T of:
1
Y(ω) - πδ (ω) +
2(1+ jw)
jw ' (1+ jw)² + 16
Ans. y(t) = (1+ 2et cos4t)u(t)
Q3: Find F.T of the pulse sine wave shown in fig. below:
5
sin mt
Ans.
(e-2/w
' – 1)
Q4: Show that:
sin aw
-)2 dw =
aw
-00
Hint: use the following:
Flu(t + a) – u(t – a)] = 2a sinaw/aw
Transcribed Image Text:* 30.ul zain IQ HW FT.pdf Homework of Fourier Transform Q1: Find F.T for the signal shown below: ATA. 2 4 -2 Ans. (8 cos3aw - 4 cos4w – 4 cos2w)/w? Q2: Find inverse F.T of: 1 Y(ω) - πδ (ω) + 2(1+ jw) jw ' (1+ jw)² + 16 Ans. y(t) = (1+ 2et cos4t)u(t) Q3: Find F.T of the pulse sine wave shown in fig. below: 5 sin mt Ans. (e-2/w ' – 1) Q4: Show that: sin aw -)2 dw = aw -00 Hint: use the following: Flu(t + a) – u(t – a)] = 2a sinaw/aw
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