GATE EC 2021 Set 1 — Question 59
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Communications → Analog Communications → Angle Modulation (FM & PM)
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Question
A sinusoidal message signal having root mean square value of and frequency of is fed to a phase modulator with phase deviation constant . If the carrier signal is , the maximum instantaneous frequency of the phase modulated signal (rounded off to one decimal place) is ________ Hz.
Correct answer
1011310 to 1011320
Solution
Given:
RMS value of message signal
Frequency of message signal
Phase deviation constant
Carrier signal The phase modulated signal is .
The instantaneous frequency is .
Let , then .
.
The maximum instantaneous frequency is .
.
RMS value of message signal
Frequency of message signal
Phase deviation constant
Carrier signal The phase modulated signal is .
The instantaneous frequency is .
Let , then .
.
The maximum instantaneous frequency is .
.
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