Answered: Fourier series for rectangular pulse…

Fourier series for rectangular pulse shown: v(t) -T -T/2 -t/2 t/2 T/2 Answer: 2VT sin x sin 2x sin nx Vt v(t) = T T x cos ot + 2x cos 2at +...+ cos not nx where x TT IT

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 Transform

In mathematics, the Fourier transformation is a mathematical transformation that rotates responsibilities by using region or time into tasks depending on the local or temporal frequency, such as the rendering of a musical track in step with existing volumes and frequencies. The term Fourier amendment refers to each illustration of the frequency range and the mathematical functionality related to the representation of the frequency domain and the function of space or time.

Question

How to do using Fourier series ?

Fourier series for rectangular pulse shown:
v(t)
-T
-T/2
-t/2
t/2
T/2
Answer:
2V T sin x
sin 2x
sin nx
Vt
v(t) :
T
cos ot +
cos 2ot + ...+
cos not
%3D
2x
nx
where x = Tt /T

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