Answered: f(t) is a periodic rectangular pulse…

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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f(t) is a periodic rectangular pulse train (sketched below). Could you answer the question by explaining each step and showing the calculations clearly, thanks a lot.

a) Find the average value and average power of f(t).

b)Find the exponential Fourier series coefficients of f(t) for the frequency interval |f| ≤ 1000 Hz.

c) Write the summation of the terms in the trigonometric Fourier Series of f(t) for the frequency interval 0 ≤ f ≤ 1000 Hz.

d) Sketch the amplitude spectrum of f(t) for the frequency interval |f| ≤ 1000 Hz.

e) Sketch the phase spectrum of f(t) for the frequency interval |f| ≤ 1000 Hz.

Q.2) f(t) is a periodic rectangular pulse train (sketched below).
1 f(t)
4
>t (ms)
-9 -8
-7
-1
0 1
7 8 9
a) Find the average value and average power of f(t).
b) Find the exponential Fourier series coefficients of f(t) for the
frequency interval |f| < 1000 Hz.
c) Write the summation of the terms in the trigonometric Fourier
Series of f(t) for the frequency interval0 <f< 1000 Hz.
d) Sketch the amplitude spectrum of f(t) for the frequency interval
|f| < 1000 Hz.
e) Sketch the phase spectrum of f(t) for the frequency interval
|f| < 1000 Hz.

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