I need help understanding why the total power delivered by an AM signal equal to the sum of the power delivered by the carrier and the sidebands. I know that an AM signal can be decomposed into different sinusoids.
What I have trouble understanding is why the formula for the total power is \(P_{T}=\frac{(E_{c})^{2}}{R}+\frac{(E_{m})^{2}}{2R}\) and not \(P_{T}=\frac{(E_{c}+2E_{m})^{2}}{R}\) because the former formula kind of contradicts the result obtained when applying the superposition principle.
Thank you for your time.
What I have trouble understanding is why the formula for the total power is \(P_{T}=\frac{(E_{c})^{2}}{R}+\frac{(E_{m})^{2}}{2R}\) and not \(P_{T}=\frac{(E_{c}+2E_{m})^{2}}{R}\) because the former formula kind of contradicts the result obtained when applying the superposition principle.
Thank you for your time.