Power of A Single-Tone Amplitude Modulated (AM) Signal
Let us consider that a carrier signal A cosωct is amplitude-modulated by a single-tone modulating signal
x(t) = Vmcosωmt.
Then the unmodulated or carrier power is :
Pc = mean square value of A cosωct
The sideband power is given by :
We know that the total modulated power Pt is the sum of Pc and Ps. Therefore ,