A PM modulator produces a modulated signal with the equation: EpM=10sin[27(500k)t-4 cos2n(1000)t],volts. The phase deviation constant of the modulator is 0.175rad/V. a. what is the approximate bandwidth of the PM signal (use Bessel approximation)? b. calculate the effective voltage of the modulated signal. c. What is the equation of the modulating signal? d. If the amplitude of the modulating signal is the same as (c), what is the frequency deviation constant of an FM modulator needed to produce the same modulated signal as 10sin[27(500k)t-4 cos2n(1000)t]? e. If an FM modulator with a frequency deviation constant of 500HZ/V is used to produce modulated signal as 10sin[27(500k)t-4 cos2n(1000)t], what must be the equation of the modulating signal?

A PM modulator produces a modulated signal with the equation: EpM=10sin[27(500k)t-4 cos2n(1000)t],volts. The phase deviation constant of the modulator is 0.175rad/V. a. what is the approximate bandwidth of the PM signal (use Bessel approximation)? b. calculate the effective voltage of the modulated signal. c. What is the equation of the modulating signal? d. If the amplitude of the modulating signal is the same as (c), what is the frequency deviation constant of an FM modulator needed to produce the same modulated signal as 10sin[27(500k)t-4 cos2n(1000)t]? e. If an FM modulator with a frequency deviation constant of 500HZ/V is used to produce modulated signal as 10sin[27(500k)t-4 cos2n(1000)t], what must be the equation of the modulating signal?

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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Concept explainers

Amplitude modulation

A radio signal can carry information in the form of sound or image for broadcasting or communication. For it to be sent to a greater distance, the signal must be changed or modulated in some way. One of the easiest way is to change the amplitude of the signal with variations of the video or the audio signal. This is called Amplitude Modulaton. In this modulation information of message is carried in amplitude of carrier signal.

Question

A PM modulator produces a modulated signal with the equation:
EpM=10sin[27(500k)t-4 cos2n(1000)t],volts.
The phase deviation constant of the modulator is 0.175rad/V.
a. what is the approximate bandwidth of the PM signal (use Bessel approximation)?
b. calculate the effective voltage of the modulated signal.
c. What is the equation of the modulating signal?
d. If the amplitude of the modulating signal is the same as (c), what is the frequency deviation
constant of an FM modulator needed to produce the same modulated signal as
10sin[27(500k)t-4 cos2n(1000)t]?
e. If an FM modulator with a frequency deviation constant of 500HZ/V is used to produce
modulated signal as 10sin[27(500k)t-4 cos2n(1000)t], what must be the equation of the
modulating signal?

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