The periodical signal x() is defined as below in one period [0, 27].(t/A 0

Given Data:A periodic signal of,Period To Find:The plot of the signal when for 2 periods.Fourier…

Answered: The periodical signal r(t) is defined…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

The periodical signal x() is defined as below in one period [0, 27].
(t/A 0<t<A
x(t)= 1 Ast<#
Ο π≤t<2π
(a) Generate the plot of the signal x(t) for two periods assuming A=1.
(b) Find the Fourier series expansion of x(t).
(c) Plot the magnitude of the Fourier series coefficients for the first 20 terms
assuming A=1.

Expert Solution

Step 1: Summarize the details given:

Given Data:

A periodic signal of,

$x open parentheses t close parentheses equals open curly brackets table row cell t over A end cell cell 0 less or equal than t less than A end cell row 1 cell A less or equal than t less than straight pi end cell row 0 cell straight pi less or equal than straight t less than 2 straight pi end cell end table close$
Period $T equals 2 straight pi space text s end text$

To Find:

The plot of the signal when $A equals 1$ for 2 periods.
Fourier series of the signal.
The magnitude plot of the FS coefficients for the first 20 terms.

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