Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 18.3, Problem 6PP
(a)
To determine
Calculate the inverse Fourier transform of
(b)
To determine
Calculate the inverse Fourier transform of
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Use identities plus known transform pairs to find the inverse Fourier transforms of the followingfunctions.
1. f(w) = e-(w^2)/9
2. f(w) = e-3|w-2|
3. f(w) = δ (ω − 1)
x(t)
4
1
2
Which of the following is the Fourier transform of the sign x(t) given above ?
one) X (w) = j
je ju
2nd) X (w)
j +
2
2
je-jw
3) X (w)
2
4) X (w)
2
je-jw
2
O 2nd
one
O 4
+13 +|3 +13
3.
2. The continuous-time Fourier transform of the triangular signal x(t) shown below left is
sin²
X(n) = 4
22²
-1
Fourier transform of the signal z(t) shown below right
Using the properties of linearity, time shifting, and time scaling, find the
x(t)
z(t)
1
or
2
3
4
01
5
6
Hint: Note that the shape of z(t) may be represented in several ways, two of which are shown
below:
M
Chapter 18 Solutions
Fundamentals of Electric Circuits
Ch. 18.2 - Prob. 1PPCh. 18.2 - Prob. 2PPCh. 18.2 - Prob. 3PPCh. 18.3 - Prob. 5PPCh. 18.3 - Prob. 6PPCh. 18.4 - Prob. 7PPCh. 18.4 - Prob. 8PPCh. 18.5 - (a) Calculate the total energy absorbed by a 1-...Ch. 18.5 - Prob. 10PPCh. 18.8 - If a 2-MHz carrier is modulated by a 4-kHz...
Ch. 18.8 - Prob. 12PPCh. 18 - Prob. 1RQCh. 18 - Prob. 2RQCh. 18 - The inverse Fourier transform of ej2+j is (a) e2t...Ch. 18 - Prob. 4RQCh. 18 - Prob. 5RQCh. 18 - Prob. 6RQCh. 18 - Prob. 7RQCh. 18 - Prob. 8RQCh. 18 - A unit step current is applied through a 1-H...Ch. 18 - Prob. 10RQCh. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Prob. 4PCh. 18 - Prob. 5PCh. 18 - Prob. 6PCh. 18 - Prob. 7PCh. 18 - Prob. 8PCh. 18 - Prob. 9PCh. 18 - Prob. 10PCh. 18 - Prob. 11PCh. 18 - Prob. 12PCh. 18 - Prob. 14PCh. 18 - Prob. 15PCh. 18 - Prob. 16PCh. 18 - Prob. 17PCh. 18 - Given that F=Fft, prove the following results,...Ch. 18 - Prob. 19PCh. 18 - Prob. 21PCh. 18 - Prob. 22PCh. 18 - Prob. 23PCh. 18 - Prob. 24PCh. 18 - Prob. 25PCh. 18 - Prob. 26PCh. 18 - Prob. 27PCh. 18 - Prob. 28PCh. 18 - Prob. 29PCh. 18 - For a linear system with input x(t) and output...Ch. 18 - Prob. 31PCh. 18 - Prob. 32PCh. 18 - Prob. 33PCh. 18 - Prob. 34PCh. 18 - Prob. 35PCh. 18 - Prob. 36PCh. 18 - Prob. 37PCh. 18 - Prob. 38PCh. 18 - Prob. 39PCh. 18 - Prob. 40PCh. 18 - Prob. 41PCh. 18 - Prob. 42PCh. 18 - Prob. 43PCh. 18 - Prob. 44PCh. 18 - Prob. 45PCh. 18 - Prob. 46PCh. 18 - Prob. 47PCh. 18 - Prob. 49PCh. 18 - Prob. 51PCh. 18 - Prob. 52PCh. 18 - Prob. 53PCh. 18 - Prob. 54PCh. 18 - Prob. 55PCh. 18 - Prob. 56PCh. 18 - Prob. 57PCh. 18 - Prob. 58PCh. 18 - Prob. 59PCh. 18 - Prob. 60PCh. 18 - Prob. 61PCh. 18 - Prob. 62PCh. 18 - Prob. 63PCh. 18 - Prob. 64PCh. 18 - Prob. 65PCh. 18 - Prob. 66PCh. 18 - Given a signal g(t) = sinc(200 t), find the...Ch. 18 - Prob. 68CPCh. 18 - Prob. 69CP
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