17.3 Find the Fourier transform of each function. In Answer: (a) each case, a is a positive real constant. (a + jw)? + wi t < 0, a) f(t) = 0, f(t) = e"sin et, 12 0. b) f() = 0, -te". (b) (a – jus)?" 1> 0, I 0. 12 0, Is0. f(1) -j4aw c) f(1) = te = te", f(t) (a + w)*"
17.3 Find the Fourier transform of each function. In Answer: (a) each case, a is a positive real constant. (a + jw)? + wi t < 0, a) f(t) = 0, f(t) = e"sin et, 12 0. b) f() = 0, -te". (b) (a – jus)?" 1> 0, I 0. 12 0, Is0. f(1) -j4aw c) f(1) = te = te", f(t) (a + w)*"
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 43E
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Transcribed Image Text:17.3 Find the Fourier transform of each function. In
Answer: (a)
each case, a is a positive real constant.
(a + jw)? + wi'
t < 0,
f(t) = e"sin et, 12 0.
1> 0,
I S0.
12 0,
a) f(t) = 0,
(b)
(a – jus)?"
b) f(t) = 0,
f(1)
-te",
c) f(t) = te ",
-j4aw
f(t)
= te".
is0.
(a + w)*"
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