Angle Modulation
PM Description
Test Tone
where
is the maximum phase deviation. The term
is periodic in t with period
This periodic term may be expressed as
where
Thus
and
Carrier Power
This can also be determined for the case of sinusoidal modulation by using
Parseval's Theorem. The power spectral density of
Thus by Parseval's Theorem,
Just as in the case for FM, the power spectral density and bandwidth are
impossible to determine for arbitrary
where
is the maximum phase deviation. Note that this definition of
where
InterferenceLet the received signal be
where
Clearly, the carrier-to-interference ratio is
The PM demodulator is an FM demodulator followed by an integrator. Thus
The signal power is
The interference power is determined by calculating the power of the
demodulator output when the input is an unmodulated carrer. With
The signal-to-interference ratio is
FM - PM Comparisons
|
is called the phase deviation constant.
.
is
. For sinusoidal modulation
Carson's rule is used to determine 
. Thus
is different than that for the
FM case. 
is not a
function of 
.
Extending these results to the case of arbitrary 
, it is seen that
in
Figure 3.24 page 174
in
Figure 3.26 page 175 