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Which is the true statement about frequency deviation in frequency modulation?

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Which is the true statement about frequency deviation in frequency modulation?

(a) frequency deviation is proportional to carrier signal frequency

(b) frequency deviation is proportional to amplitude of carrier signal

(c) frequency deviation is proportional to modulating frequency

(d) frequency deviation is proportional to amplitude of modulating signal

The question was posed to me in examination.

Origin of the question is Comparison Between FM and PM in chapter Noise of Analog Communications

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Right choice is (d) frequency deviation is proportional to amplitude of modulating signal

The best I can explain: In frequency modulated system, the frequency deviation is proportional to the amplitude of the modulating signal.

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