WOLFRAM|DEMONSTRATIONS PROJECT

Power Efficiency of Amplitude Modulation

​
modulation parameters
µ
0.8
f
c
(hz)
7000
f
m
(hz)
500
modulated carrier plot options
show carrier
show message
This Demonstration illustrates the effect of changing the modulation factor
μ
(also called the modulation depth) on the power efficiency of ordinary amplitude modulation (AM) technique. A modulation factor
μ
greater than 1 results in envelope distortion, causing difficulties during demodulation. Hence
μ
must be kept less than 1.
At 100% modulation (
μ=1)
, the power efficiency of AM is 33.33%, that is, the total power carried by the sidebands is 1/3 of the total power. The middle graph shows the modulated carrier
s(t)=(1+μm(t))cos(2π
f
c
t)
, where
m(t)=cos(2tπ
f
m
)
is the message signal and
μ
is the modulation factor. For simplicity, the amplitude of the carrier signal and the amplitude of the message signal are both kept equal to 1.