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Stochastic structure of asymptotic quantization errors
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2006 (English)In: Statistics and Probability Letters, ISSN 0167-7152, E-ISSN 1879-2103, Vol. 76, no 5, 453-464 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier, 2006. Vol. 76, no 5, 453-464 p.
Keyword [en]
Distortion, noise model, optimal design, scalar quantization, random process
National Category
Probability Theory and Statistics
Research subject
Mathematical Statistics
Identifiers
URN: urn:nbn:se:umu:diva-63662DOI: 10.1016/j.spl.2005.08.022OAI: oai:DiVA.org:umu-63662DiVA: diva2:582125
Available from: 2013-01-11 Created: 2013-01-03 Last updated: 2017-12-06Bibliographically approved

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Shykula, MykolaSeleznjev, Oleg
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