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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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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This is a practice question from the Signal and Systems course of my Electrical Engineering Program.

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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 — *) -
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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