Quantization (signal processing): Difference between revisions

Revision as of 06:41, 8 October 2004

Revision as of 14:53, 9 October 2004

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In computer audio, a linear scale is most common. If ''x'' is a real valued number between -1 and 1, the quantization operator can therefore be alternately expressed as,

:<math>Q(x) = \operatorname{floorround}(2^{M-1}x)/2^{M-1}</math>

where ''floor()'' returns the highest integer less than or equal to x and M is the number of bits used to quantize the value. Using this quantization law and assuming that quantization noise is [[uniform distribution|uniformly distributed]] (accurate for rapidly varying ''xxx'' or high ''M''), the [[signal to noise ratio]] can be approximated as

:<math>\begin{matrix}\frac{S}{N_q}\end{matrix} \approx (6.02M + 1.76)dB</math>.