Ex: Find the F.T. of the rectangular pulse (gate function). f(t) = A rect ( =) = ATT (t/), I is the duration of the pulse. Tlz Sol : FCW) = f (A) coswt dt = 2A Fcw) = AZ sinc (WI) Recall that Sincx = at x = ± n Tha sin (W) sinwt] = 2^ sin WI WZ = Az Note that sincx- Sinx WE X → WI = ± nit > W = ²2n n=1₂2₁3.. 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?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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
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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