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Consider a frequency-modulated (FM) signal
where 
and 
are, respectively, the amplitude and frequency (in Hz) of the carrier waveform. The frequency 
is in Hz, and assume that 
.
The peak frequency deviation of the FM signal in Hz is __________.
By comparison with standard angle modulated signal expression:
Clearly, change in frequency 
is given by derivative of argument of cosine with respect to time.
Here, 
change in angular frequency (in rad/s) 
Note in question that unit asked is Hz, thus we have to divide 
by 
to get
Max value of summation of sinusoids of different frequency is summation of amplitudes, thus peak frequency deviation
