For each of the following Fourier transforms, use Fourier transform properties (Table 4.1) to determine whether the corresponding time-domain signal is (i) real, imaginary, or neither and (ii) even, odd, or neither. Do this without evaluating the inverse of any of the given transforms. - - (a) X₁(jw) = u(w) – u(w − 2) (b) X2(jw) = cos(2w) sin(1/2) (c) X3(jw) = A(w)ej B(w), where A(w) == (sin 2w)/w and B(w) = 20 + 1/2 (d) X(jw) = Σ%=-∞(½)|*| 8(w — *) -
For each of the following Fourier transforms, use Fourier transform properties (Table 4.1) to determine whether the corresponding time-domain signal is (i) real, imaginary, or neither and (ii) even, odd, or neither. Do this without evaluating the inverse of any of the given transforms. - - (a) X₁(jw) = u(w) – u(w − 2) (b) X2(jw) = cos(2w) sin(1/2) (c) X3(jw) = A(w)ej B(w), where A(w) == (sin 2w)/w and B(w) = 20 + 1/2 (d) X(jw) = Σ%=-∞(½)|*| 8(w — *) -
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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This is a practice question from the Signal and Systems course of my Electrical Engineering Program.
Could you please walk me through the steps for solving this?
Thank you for your assistance.
![For each of the following Fourier transforms, use Fourier transform properties (Table
4.1) to determine whether the corresponding time-domain signal is (i) real, imaginary,
or neither and (ii) even, odd, or neither. Do this without evaluating the inverse of any
of the given transforms.
-
-
(a) X₁(jw) = u(w) – u(w − 2)
(b) X2(jw) = cos(2w) sin(1/2)
(c) X3(jw) = A(w)ej B(w), where A(w)
==
(sin 2w)/w and B(w)
=
20 + 1/2
(d) X(jw) = Σ%=-∞(½)|*| 8(w — *)
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b9e8ebd-ceba-4fff-be05-4ffc155e08e3%2F0e701efb-42e5-4019-aced-83f32ddbd3cf%2F3uwvxe8_processed.png&w=3840&q=75)
Transcribed Image Text:For each of the following Fourier transforms, use Fourier transform properties (Table
4.1) to determine whether the corresponding time-domain signal is (i) real, imaginary,
or neither and (ii) even, odd, or neither. Do this without evaluating the inverse of any
of the given transforms.
-
-
(a) X₁(jw) = u(w) – u(w − 2)
(b) X2(jw) = cos(2w) sin(1/2)
(c) X3(jw) = A(w)ej B(w), where A(w)
==
(sin 2w)/w and B(w)
=
20 + 1/2
(d) X(jw) = Σ%=-∞(½)|*| 8(w — *)
-
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