The transmitted signal
v(t)
to which the Frequency Modulation is applied is given as
v(t)=Acos[2\pi f_(c)t+ksin(2\pi f_(m)t)],
where
f_(c)
and
k
are the carrier frequency and the modulation index, respectively.
f_(c)≫f_(m)
. Derive the signal power of
v(t)
. Derive the instantaneous frequency of
v(t)
. Derive the demodulated (recovered) signal. Estimate the frequency bandwidth of
v(t)
Figure 3