Answer to Question #90169 in Electric Circuits for Shivam Nishad

Question

Calculate the quantization noise for a digital
signal with step size 10 mV.

Answer 1

Quantization noise is caused by rounding errors between the analog input voltage and nearest quantization level. Quantization noise power is related to step size as

$$P = \frac {\Delta^2}{12}.$$

For step size

$$\Delta = 10mV = 0.01\ V$$

the noise power is equal to

$$P = \frac {0.01^2}{12} = 8.33*10^{-6}\ W.$$