Ex: Find the F.T. of the rectangular pulse (gate function) f(t) = A rect ( =) = ATT (t/), I is the duration of the pulse. Sol: F(W) = 3 Tlz f (A) coswt dt = 2A F(W) = AZ sinc (WI) Recall that sincx = at x = + nT T12 sin (W) sinwt] = 2^ sin WI = Az W Note that sincx- Sinx WZ 2 X → WI = I NIT W = $2nT n=1₂2₁3₂ Hello expert, I want you to explain how he got the value inside the circle Can you explain step by step and in a clear line, please?
Ex: Find the F.T. of the rectangular pulse (gate function) f(t) = A rect ( =) = ATT (t/), I is the duration of the pulse. Sol: F(W) = 3 Tlz f (A) coswt dt = 2A F(W) = AZ sinc (WI) Recall that sincx = at x = + nT T12 sin (W) sinwt] = 2^ sin WI = Az W Note that sincx- Sinx WZ 2 X → WI = I NIT W = $2nT n=1₂2₁3₂ Hello expert, I want you to explain how he got the value inside the circle Can you explain step by step and in a clear line, please?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Ex: Find the F. T. of the rectangular pulse (gate function).
f(t) = A rect ( ² ) = ATT (t/), I is the duration of the
pulse.
Sol: F(W) =
3
Tlz
√ (A) coswt dt = 2A
T1₂
sin (W)
sinwt] = 2^ sin WI = A=
W
2
Note that sincx- Sinx WZ
→ WI = I NIT W=2 n
X
n=1₂ 2₁ 3₁
Hello expert, I want you to explain how
he got the value inside the circle
Can you explain step by step and in
a clear line, please?
F(W) = AZ sinc (WI)
Recall that
Sincx = at x = + nT](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbfc577c7-618d-444d-b620-4d3c029d9c55%2Fde95e714-a78e-4618-ac39-e3e9970d2e14%2Fjuukg3c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Ex: Find the F. T. of the rectangular pulse (gate function).
f(t) = A rect ( ² ) = ATT (t/), I is the duration of the
pulse.
Sol: F(W) =
3
Tlz
√ (A) coswt dt = 2A
T1₂
sin (W)
sinwt] = 2^ sin WI = A=
W
2
Note that sincx- Sinx WZ
→ WI = I NIT W=2 n
X
n=1₂ 2₁ 3₁
Hello expert, I want you to explain how
he got the value inside the circle
Can you explain step by step and in
a clear line, please?
F(W) = AZ sinc (WI)
Recall that
Sincx = at x = + nT
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