Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > The amount of frequency shift in FM isa)direc...
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The amount of frequency shift in FM is
- a)directly proportional to amplitude of the modulating signal.
- b)inversely proportional to amplitude of the modulating signal.
- c)independent of amplitude of the modulating signal.
- d)proportional to frequency deviation.
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The amount of frequency shift in FM isa)directly proportional to ampli...
Explanation:
Frequency modulation is a method of encoding information on a carrier wave by varying its frequency. In FM, the frequency of the carrier wave is varied in proportion to the amplitude of the modulating signal. This variation in frequency is what allows the transmission of information.
To understand why the frequency shift in FM is directly proportional to the amplitude of the modulating signal, let's break down the process:
1. Modulating Signal: The modulating signal is the signal that carries the information to be transmitted. It can be an audio signal, such as a voice or music, or any other type of signal.
2. Frequency Deviation: In FM, the frequency of the carrier wave is shifted above and below its center frequency. The extent of this frequency shift is known as the frequency deviation. It determines the range of frequencies that the carrier wave can vary.
3. Amplitude of the Modulating Signal: The amplitude of the modulating signal directly affects the frequency deviation in FM. When the amplitude of the modulating signal increases, the frequency deviation also increases.
4. Direct Proportionality: The relationship between the amplitude of the modulating signal and the frequency shift can be described as direct proportionality. This means that as the amplitude of the modulating signal increases, the frequency shift also increases proportionally. Similarly, if the amplitude decreases, the frequency shift will decrease accordingly.
In summary, the amount of frequency shift in FM is directly proportional to the amplitude of the modulating signal. This relationship allows for the transmission of information through varying frequencies, with the amplitude of the modulating signal determining the extent of the frequency shift.the change in the amplitude of modulating signal value.
Frequency modulation is a method of encoding information on a carrier wave by varying its frequency. In FM, the frequency of the carrier wave is varied in proportion to the amplitude of the modulating signal. This variation in frequency is what allows the transmission of information.
To understand why the frequency shift in FM is directly proportional to the amplitude of the modulating signal, let's break down the process:
1. Modulating Signal: The modulating signal is the signal that carries the information to be transmitted. It can be an audio signal, such as a voice or music, or any other type of signal.
2. Frequency Deviation: In FM, the frequency of the carrier wave is shifted above and below its center frequency. The extent of this frequency shift is known as the frequency deviation. It determines the range of frequencies that the carrier wave can vary.
3. Amplitude of the Modulating Signal: The amplitude of the modulating signal directly affects the frequency deviation in FM. When the amplitude of the modulating signal increases, the frequency deviation also increases.
4. Direct Proportionality: The relationship between the amplitude of the modulating signal and the frequency shift can be described as direct proportionality. This means that as the amplitude of the modulating signal increases, the frequency shift also increases proportionally. Similarly, if the amplitude decreases, the frequency shift will decrease accordingly.
In summary, the amount of frequency shift in FM is directly proportional to the amplitude of the modulating signal. This relationship allows for the transmission of information through varying frequencies, with the amplitude of the modulating signal determining the extent of the frequency shift.the change in the amplitude of modulating signal value.
Most Upvoted Answer
The amount of frequency shift in FM isa)directly proportional to ampli...
Explanation:
Frequency Modulation (FM) is a modulation technique in which the frequency of the carrier signal is varied in accordance with the amplitude of the modulating signal. The amount of frequency shift in FM is directly proportional to the amplitude of the modulating signal. Let's understand why this is the case.
Understanding Frequency Modulation (FM):
In FM, the frequency of the carrier signal is modified to carry the information. The instantaneous frequency of the modulated signal is given by:
fi(t) = fc + kf * m(t)
where:
- fi(t) is the instantaneous frequency of the modulated signal at time t.
- fc is the frequency of the carrier signal.
- kf is the frequency sensitivity or modulation index.
- m(t) is the modulating signal.
Frequency Shift in FM:
The frequency shift in FM is determined by the modulation index (kf) and the amplitude of the modulating signal (m(t)).
The modulation index (kf) represents the sensitivity of the frequency shift to the amplitude of the modulating signal. Higher values of kf result in larger frequency shifts for a given amplitude of the modulating signal.
Direct Proportionality:
The frequency shift is directly proportional to the amplitude of the modulating signal. This means that as the amplitude of the modulating signal increases, the frequency shift also increases proportionally. Similarly, as the amplitude of the modulating signal decreases, the frequency shift decreases proportionally.
This relationship can be intuitively understood by considering that a larger amplitude of the modulating signal corresponds to a larger variation in the instantaneous frequency of the carrier signal. This variation results in a larger frequency shift in the modulated signal.
Conclusion:
In summary, the amount of frequency shift in FM is directly proportional to the amplitude of the modulating signal. This relationship is governed by the modulation index, which represents the sensitivity of the frequency shift to the amplitude of the modulating signal. As the amplitude of the modulating signal increases, the frequency shift also increases proportionally.
Frequency Modulation (FM) is a modulation technique in which the frequency of the carrier signal is varied in accordance with the amplitude of the modulating signal. The amount of frequency shift in FM is directly proportional to the amplitude of the modulating signal. Let's understand why this is the case.
Understanding Frequency Modulation (FM):
In FM, the frequency of the carrier signal is modified to carry the information. The instantaneous frequency of the modulated signal is given by:
fi(t) = fc + kf * m(t)
where:
- fi(t) is the instantaneous frequency of the modulated signal at time t.
- fc is the frequency of the carrier signal.
- kf is the frequency sensitivity or modulation index.
- m(t) is the modulating signal.
Frequency Shift in FM:
The frequency shift in FM is determined by the modulation index (kf) and the amplitude of the modulating signal (m(t)).
The modulation index (kf) represents the sensitivity of the frequency shift to the amplitude of the modulating signal. Higher values of kf result in larger frequency shifts for a given amplitude of the modulating signal.
Direct Proportionality:
The frequency shift is directly proportional to the amplitude of the modulating signal. This means that as the amplitude of the modulating signal increases, the frequency shift also increases proportionally. Similarly, as the amplitude of the modulating signal decreases, the frequency shift decreases proportionally.
This relationship can be intuitively understood by considering that a larger amplitude of the modulating signal corresponds to a larger variation in the instantaneous frequency of the carrier signal. This variation results in a larger frequency shift in the modulated signal.
Conclusion:
In summary, the amount of frequency shift in FM is directly proportional to the amplitude of the modulating signal. This relationship is governed by the modulation index, which represents the sensitivity of the frequency shift to the amplitude of the modulating signal. As the amplitude of the modulating signal increases, the frequency shift also increases proportionally.
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The amount of frequency shift in FM isa)directly proportional to amplitude of the modulating signal.b)inversely proportional to amplitude of the modulating signal.c)independent of amplitude of the modulating signal.d)proportional to frequency deviation.Correct answer is option 'A'. Can you explain this answer?
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