The conversation between human and AI assistant.
Prove that SNR of power = (SNR of voltage) sequare?
Okay.
The power of the signal is given by P_signal = (V_signal)^2 / R, where R is the resistance of the circuit. Similarly, the power of the noise is given by P_noise = (V_noise)^2 / R. Therefore, the SNR of power is P_signal / P_noise. On the other hand, the voltage ratio SNR is V_signal / V_noise. Squaring this gives us (V_signal / V_noise)^2 = V_signal^2 / V_noise^2.