Power of A Single-Tone Amplitude Modulated (AM) Signal

Power of A Single-Tone Amplitude Modulated (AM) Signal

Mathematical Expressions

PCBWay

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 Pis the sum of Pc and Ps. Therefore ,

But,

Hence,

But,

Therefore,