Calculation of carrier frequency and modulating frequency in FM wave

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

Carrier frequency
Modulating frequency

Options:

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

Correct Answer: a) 159.1MHz, 194.1Hz

Explanation:

Standard expression for FM signal is given by
v(t) = A cos ( ω_ct + m_f sin ω_mt)
comparing with the given equation,
Carrier frequency is given by f_c = 10* 10⁸/2Π
= 159.1MHz
Modulating frequency is given by f_m = 1220/2Π
= 194.1Hz