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A carrier frequency modulated with a sinusoidal signal of frequency 4 kHz resulting in a maximum frequency deviation of 7kHz. The bandwidth of the modulated signal in Khz is 

Correct answer is '22'. Can you explain this answer?
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A carrier frequency modulated with a sinusoidal signal of frequency 4 ...
Using Carson’s rule


BW = 2(β + 1)fm


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A carrier frequency modulated with a sinusoidal signal of frequency 4 ...
Explanation:

Carrier frequency modulation:

Carrier frequency modulation is a process in which the frequency of the carrier wave is varied in accordance with the amplitude of the modulating signal. The amplitude of the modulating signal is used to vary the frequency of the carrier wave. The amount of frequency variation depends on the amplitude of the modulating signal.

Maximum frequency deviation:

Maximum frequency deviation is the maximum amount by which the frequency of the carrier wave can be varied. In this case, the maximum frequency deviation is 7kHz.

Frequency of modulating signal:

The frequency of the modulating signal is 4kHz.

Bandwidth of modulated signal:

The bandwidth of the modulated signal can be calculated using the following formula:

Bandwidth = 2 x (Maximum frequency deviation + Frequency of modulating signal)

= 2 x (7kHz + 4kHz)

= 2 x 11kHz

= 22kHz

Therefore, the bandwidth of the modulated signal is 22kHz.
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A carrier frequency modulated with a sinusoidal signal of frequency 4 kHz resulting in a maximum frequency deviation of 7kHz. The bandwidth of the modulated signal in Khz isCorrect answer is '22'. Can you explain this answer?
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