Assume that the input signal S(t) is sinusoidal with amplitude A and quantized to R number of binary bits, how can I calculate the SQNR of the PCM system in dB? I know that the output signal-to-quantizing-noise ratio (SQNR) in a PCM system is the same as the ratio of the average-signal power to the average-quantization-noise power.
$$SQNR_{PCM}=\frac{P_{AvgS}}{P_{AvgQN}}$$
I know that \$P_{AvgS}={σ_x}^2\$ but how about \$P_{AvgQN}\$? Average-noise power (\$\frac{Δ^2}{12}\$) seems not the same as average-quantization-noise power since the answer should not be 1.76+6.02R when using this.
Thank you for your attention.
