3.12. An AM modulator is operating with an index of0.7. The modulation input ism(t)=2 cos (27 fmt) + cos (4x fmt) +2 cos (10zx fl)(a) Sketch the spectrum of the modulator outputshowing the weights of all impulse functions.(b) What is the efficiency of the modulation process?

Given:a message signal is provided as input to the AM modulator with modulation index,To do:a)…

Answered: 3.12. An AM modulator is operating with…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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3.12. An AM modulator is operating with an index of
0.7. The modulation input is
m(t)=2 cos (27 fmt) + cos (4x fmt) +2 cos (10zx fl)
(a) Sketch the spectrum of the modulator output
showing the weights of all impulse functions.
(b) What is the efficiency of the modulation process?

Expert Solution

Step 1: what is given and what to do:

Given:

a message signal

$m open parentheses t close parentheses equals 2 cos open parentheses 2 straight pi straight f subscript straight m straight t close parentheses plus cos open parentheses 4 straight pi straight f subscript straight m straight t close parentheses plus 2 cos open parentheses 10 straight pi straight f subscript straight m straight t close parentheses$

is provided as input to the AM modulator with modulation index, $m subscript a equals 0.7$

To do:

a) Sketch the spectrum of the modulated signal showing the weights of all impulses.

b) Find the efficiency of the modulation process.

Note:

As the carrier signal is not mentioned, we need to assume it as

$c open parentheses t close parentheses equals cos open parentheses omega subscript c t close parentheses comma text where, end text space omega subscript c greater than omega subscript m space o r space f subscript c less than f subscript m.$

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