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In the phase modulated signal, the deviation of frequency is ________.
- a)constant
- b)proportional to both amplitude and frequency
- c)proportional to frequency
- d)square of amplitude
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
In the phase modulated signal, the deviation of frequency is ________....
The frequency deviation in a phase-modulated carrier is proportional to the amplitude and frequency of the modulating signal.
Derivation:
A general expression for a phase-modulated wave is:
xPM (t) = A cos [2πfct + kpm(t)]
The instantaneous angle is given as:
ϕi(t) = 2πfct + kp m(t)
The instantaneous frequency (in Hz) will be obtained as:
Frequency deviation is given by:
For a single tone modulation:
m(t) = Am sin ωmt
The frequency deviation becomes:
A general expression for a phase-modulated wave is:
xPM (t) = A cos [2πfct + kpm(t)]
The instantaneous angle is given as:
ϕi(t) = 2πfct + kp m(t)
The instantaneous frequency (in Hz) will be obtained as:
Frequency deviation is given by:
For a single tone modulation:
m(t) = Am sin ωmt
The frequency deviation becomes:
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Community Answer
In the phase modulated signal, the deviation of frequency is ________....
Frequency Deviation in Phase Modulated Signal:
Frequency deviation in a phase modulated signal is proportional to both amplitude and frequency. This means that as the amplitude and frequency of the signal change, the frequency deviation also changes accordingly.
Explanation:
- Proportional to Amplitude: In phase modulation, the instantaneous phase of the carrier signal is varied in proportion to the amplitude of the modulating signal. As the amplitude of the modulating signal changes, the phase of the carrier signal also changes, leading to a deviation in frequency.
- Proportional to Frequency: Additionally, the frequency deviation in a phase modulated signal is also proportional to the frequency of the modulating signal. This means that as the frequency of the modulating signal changes, the frequency deviation of the carrier signal will also change.
- Constant Deviation: Unlike frequency modulation where the frequency deviation is constant, in phase modulation the frequency deviation varies with both the amplitude and frequency of the modulating signal. This allows for a more efficient use of bandwidth and better signal quality.
- Effect on Signal Quality: By adjusting the frequency deviation based on both the amplitude and frequency of the modulating signal, phase modulation can provide better signal quality and improved spectral efficiency compared to other modulation techniques.
In conclusion, the frequency deviation in a phase modulated signal is proportional to both amplitude and frequency, allowing for more flexibility and efficiency in signal transmission.
Frequency deviation in a phase modulated signal is proportional to both amplitude and frequency. This means that as the amplitude and frequency of the signal change, the frequency deviation also changes accordingly.
Explanation:
- Proportional to Amplitude: In phase modulation, the instantaneous phase of the carrier signal is varied in proportion to the amplitude of the modulating signal. As the amplitude of the modulating signal changes, the phase of the carrier signal also changes, leading to a deviation in frequency.
- Proportional to Frequency: Additionally, the frequency deviation in a phase modulated signal is also proportional to the frequency of the modulating signal. This means that as the frequency of the modulating signal changes, the frequency deviation of the carrier signal will also change.
- Constant Deviation: Unlike frequency modulation where the frequency deviation is constant, in phase modulation the frequency deviation varies with both the amplitude and frequency of the modulating signal. This allows for a more efficient use of bandwidth and better signal quality.
- Effect on Signal Quality: By adjusting the frequency deviation based on both the amplitude and frequency of the modulating signal, phase modulation can provide better signal quality and improved spectral efficiency compared to other modulation techniques.
In conclusion, the frequency deviation in a phase modulated signal is proportional to both amplitude and frequency, allowing for more flexibility and efficiency in signal transmission.
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In the phase modulated signal, the deviation of frequency is ________.a)constantb)proportional to both amplitude and frequencyc)proportional to frequencyd)square of amplitudeCorrect answer is option 'B'. Can you explain this answer?
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