A message to be transmitted using AM is given by m(t): = 4 cos 400πt + 3 cos 300πt where the unit of time is milliseconds. It is to be sent using a carrier frequency of 30 kHz. a) What is the message bandwidth? b) Sketch its magnitude spectrum, clearly specifying the units used on the frequency axis. c) For a modulation index of 50%, write an explicit time domain expression for the AM signal. d) What is the power efficiency of the AM signal? e) Sketch the magnitude spectrum for the AM signal, again clearly specifying the units used on the frequency axis.

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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Chapter1: Introduction
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Question
A message to be transmitted using AM is given by
m(t):
= 4 cos 400πt + 3 cos 300πt
where the unit of time is milliseconds. It is to be sent using a carrier frequency
of 30 kHz.
a) What is the message bandwidth?
b) Sketch its magnitude spectrum, clearly specifying the units used on the
frequency axis.
c) For a modulation index of 50%, write an explicit time domain expression for
the AM signal.
d) What is the power efficiency of the AM signal?
e) Sketch the magnitude spectrum for the AM signal, again clearly specifying
the units used on the frequency axis.
Transcribed Image Text:A message to be transmitted using AM is given by m(t): = 4 cos 400πt + 3 cos 300πt where the unit of time is milliseconds. It is to be sent using a carrier frequency of 30 kHz. a) What is the message bandwidth? b) Sketch its magnitude spectrum, clearly specifying the units used on the frequency axis. c) For a modulation index of 50%, write an explicit time domain expression for the AM signal. d) What is the power efficiency of the AM signal? e) Sketch the magnitude spectrum for the AM signal, again clearly specifying the units used on the frequency axis.
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