Stochastic structure of asymptotic quantization errors

Mykola Shykula and Oleg Seleznjev

Statistics & Probability Letters, 2006, vol. 76, issue 5, 453-464

Abstract: We consider quantization of continuous-valued random variables and processes in a probabilistic framework. Stochastic structure for non-uniform quantization errors is studied for a wide class of random variables. Asymptotic properties of the additive quantization noise model for a random process are derived for uniform and non-uniform quantizers. Some examples and numerical experiments demonstrating the rate of convergence in the obtained asymptotic results are presented.

Keywords: Distortion; Noise; model; Optimal; design; Scalar; quantization; Random; process (search for similar items in EconPapers)
Date: 2006
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