A necessary and sufficient condition for quantization errors to be uniform and white

Anekal B. Sripad, Donald L. Snyder · IEEE Transactions on Acoustics Speech and Signal Processing · 1977

In this paper, a necessary and sufficient condition is given to model the output of a quantizer as an infinite-precision input and an additive, uniform, white noise. The statistical properties of the quantization error are studied, and a detailed analysis for Gaussian distributed inputs is given.

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