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Carson’s rule is used to calculate ________

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Carson’s rule is used to calculate  ________

(a) Bandwidth of FM signal

(b) SNR

(c) Modulation index of FM signal

(d) Figure of merit

This question was posed to me during an online interview.

My doubt is from Coherent Detection of DSBSC Waves topic in division Double Sideband Suppressed Carrier Modulation of Analog Communications

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The correct option is (a) Bandwidth of FM signal

To explain I would say: Carson’s rule states that only (β+1) (where β = modulation index) upper and lower sidebands along with the carrier, have significant magnitude and contain 99% of total power. Thus, as per Carson’s rule, required bandwidth is equal to the twice of sum of the maximum frequency deviation (fd) and the maximum modulating frequency(fm), B = 2(fd + fm)Hz.

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