Quantization Theory Formulas
When a signal is quantized, the resulting signal approximately has the second-order statistics of a signal with independent additive white noise. Assuming that the signal value is in the range of one step of the quantized value with an equal distribution, the root mean square value of this quantization noise is
In reality, the quantization noise is of course not independent of the signal; this dependence is the source of idle tones and pattern noise in Sigma-Delta converters.
Over sampling ratio (OSR), where is the sampling frequency and is Nyquist rate
The RMS noise voltage within the band of interest can be expressed in terms of OSR
Read more about this topic: Delta-sigma Modulation
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