Calculation of carrier frequency and modulating frequency in FM wave

Q.  For a FM signal v(t) = 15 cos ( 10 * 108t + 10 sin 1220t), calculate

1. Carrier frequency
2. Modulating frequency
- Published on 14 Oct 15

a. 159.1MHz, 194.1Hz
b. 185.5MHz, 200.15Hz
c. 350.1MHz, 200.1Hz
d. 159.1Hz, 194.1Hz

ANSWER: 159.1MHz, 194.1Hz
 
Standard expression for FM signal is given by
v(t) = A cos ( ωct + mf sin ωmt)
comparing with the given equation,
Carrier frequency is given by fc = 10 * 108/2Π
= 159.1MHz
Modulating frequency is given by fm = 1220/2Π
= 194.1Hz

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