Determine the complex Fourier coefficients, T/2 1 Cn = | f(t)e-inodt, 21 00 = -T/2 of the function, f(t), shown in Figure 1. Hence show that the complex Fourier series of f(t) is τ 00 f(t)= U sinc T n=18 not jnoot 2 f(t) t -1/2 1/2 T/2 -T/2 -1

Determine the complex Fourier coefficients, T/2 1 Cn = | f(t)e-inodt, 21 00 = -T/2 of the function, f(t), shown in Figure 1. Hence show that the complex Fourier series of f(t) is τ 00 f(t)= U sinc T n=18 not jnoot 2 f(t) t -1/2 1/2 T/2 -T/2 -1

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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Concept explainers

Fourier Series

Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental frequency and harmonics) through a process called Fourier analysis.

Question

Determine the complex Fourier coefficients,
T/2
1
=
Cn
T
| f(t)e-ino t
dt, 00
-T/2
=
21
T
'
of the function, f(t), shown in Figure 1. Hence show that the complex Fourier series of
f(t) is
f(t)
=
τ
sinc
πωρτ
jnoot
2
n=-8
f(t)
t
-1/2
1/2
T/2
-T/2
-1
Figure 1

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