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4.3 Repeat Example 4.1, but using the function f(t) = A for 0 < t

4.3 Repeat Example 4.1, but using the function f(t) = A for 0 < t

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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4.3 Repeat Example 4.1, but using the function f(t) = A for 0 < t <T and f(t) = 0 for all other values of t. Explain the reason for any differences between your results and the results in the example. EXAMPLE 4.1: Obtaining the Fourier transform of a simple continuous function. The Fourier transform of the function in Fig. 4.4(a) follows from Eq. (4-20): 8 F(μ) = √ ƒ(t)e-²µ³ d = e-j2μt] W/2 -W/2 A 2πμ A W AW sin(μW) (лμW) -e W/2 = Ae-j2πμt dt -W/2 -A 2πμ =
Transcribed Image Text:4.3 Repeat Example 4.1, but using the function f(t) = A for 0 < t <T and f(t) = 0 for all other values of t. Explain the reason for any differences between your results and the results in the example. EXAMPLE 4.1: Obtaining the Fourier transform of a simple continuous function. The Fourier transform of the function in Fig. 4.4(a) follows from Eq. (4-20): 8 F(μ) = √ ƒ(t)e-²µ³ d = e-j2μt] W/2 -W/2 A 2πμ A W AW sin(μW) (лμW) -e W/2 = Ae-j2πμt dt -W/2 -A 2πμ =
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