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What is the frequency deviation produced by noise if the signal to noise ratio is 3:1 and modulating frequency is 800Hz?

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What is the frequency deviation produced by noise if the signal to noise ratio is 3:1 and modulating frequency is 800Hz?

(a) 152.32Hz

(b) 482.5Hz

(c) 132.8Hz

(d) 271.Hz

I have been asked this question during an interview.

My question comes from Noise Suppression Effects of FM in portion Amplitude & Frequency Modulation of Avionics

1 Answer

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Correct answer is (d) 271.Hz

To explain I would say: ɸ=sin^-1(N/S)=sin^-1(1/3)=sin-1(0.3333)=19.47°=0.34rad

          δ=ɸ(fm)=0.34(800)=271.8Hz.

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