A baseband signal is the input to an integrator. The output of the filter is then sent to a phase modulatorhaving a modulation constant equals to 50 rad./v to produce a new signal g(t). Assume the basebandsignal is m(t) = 5 cos(400πt) + 3 cos (200πt), and the carrier has an unmodulated power of 18 W and acarrier frequency of 10 MHz.1) What type of modulated signal is g(t)?2) Give the time-domain representation of g(t).3) What is the resulting modulation index?4) Sketch the spectrum of g(t).5) Estimate the transmission bandwidth of g(t)

Answered: A baseband signal is the input to an…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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A baseband signal is the input to an integrator. The output of the filter is then sent to a phase modulator
having a modulation constant equals to 50 rad./v to produce a new signal g(t). Assume the baseband
signal is m(t) = 5 cos(400πt) + 3 cos (200πt), and the carrier has an unmodulated power of 18 W and a
carrier frequency of 10 MHz.
1) What type of modulated signal is g(t)?
2) Give the time-domain representation of g(t).
3) What is the resulting modulation index?
4) Sketch the spectrum of g(t).
5) Estimate the transmission bandwidth of g(t)

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Given:

The baseband signal is, $m open parentheses t close parentheses equals 5 space cos open parentheses 400 straight pi straight t close parentheses plus 3 space cos open parentheses 200 straight pi straight t close parentheses$ .

It is the input to an integrator and the output is then sent to a phase modulator with modulation constant $k subscript p equals 50 straight pi space bevelled rad over straight V$ to produce a signal g(t).

The unmodulated carrier has power 18 W and frequency of 10 MHz.

To do:

i) what type of modulated signal is g(t)?

ii) find expression of g(t).

iii) find resulting modulation index.

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