A conventional amplitude modulator (AM), where m(t) is the analogue message, VDC 5 volt is an offset voltage and c(t) is the carrier signal. Let m(t) = 3 cos(2710¹t), and the carrier frequency is fc =1 MHz, Answer the following questions: 1) Evaluate the modulation depth m. 2) Draw the AM modulator circuit used to generate this AM signal. 3) Write the mathematical equation of modulated signal for the above values. 4) Sketch VAM(1) at the output of the modulator in the time domain. 5) Draw the double side frequency spectrum of the signal VAM (t). 6) Evaluate the efficiency (n) of this AM modulator.

A conventional amplitude modulator (AM), where m(t) is the analogue message, VDC 5 volt is an offset voltage and c(t) is the carrier signal. Let m(t) = 3 cos(2710¹t), and the carrier frequency is fc =1 MHz, Answer the following questions: 1) Evaluate the modulation depth m. 2) Draw the AM modulator circuit used to generate this AM signal. 3) Write the mathematical equation of modulated signal for the above values. 4) Sketch VAM(1) at the output of the modulator in the time domain. 5) Draw the double side frequency spectrum of the signal VAM (t). 6) Evaluate the efficiency (n) of this AM modulator.

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

Frequency Modulation

Frequency modulation is a method or process of encoding the data of a specific signal (analog or digital) by modulating the carrier wave frequency according to the frequency of the modulated signal. Modulated signals are nothing more than information or data that should be conveyed after being converted into electronic signals.

Question

A conventional amplitude modulator (AM), where m(t) is the analogue message,
VDC 5 volt is an offset voltage and c(t) is the carrier signal. Let m(t) = 3 cos(2710¹t),
and the carrier frequency is fc =1 MHz, Answer the following questions:
1) Evaluate the modulation depth m.
2) Draw the AM modulator circuit used to generate this AM signal.
3) Write the mathematical equation of modulated signal for the above values.
4) Sketch VAM(1) at the output of the modulator in the time domain.
5) Draw the double side frequency spectrum of the signal VAM (t).
6) Evaluate the efficiency (n) of this AM modulator.

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Step 1: 1. Evaluate the modulation depth m.

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Step 2: 2. The AM modulator circuit used to generate this AM signal can be drawn as follows:

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Step 3: 3. The mathematical equation of the modulated signal VAM(t) is given by:

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Step 4: 4. Sketch of VAM(t) at the output of the modulator in the time domain:

VIEW

Step 5: 5. The double side frequency spectrum of the signal VAM(t) is shown below:

VIEW

Step 6: 6. The efficiency (n) of an AM modulator is given by:

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