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Optimal quantization for dyadic homogeneous Cantor distributions

✍ Scribed by Wolfgang Kreitmeier

Publisher: John Wiley and Sons
Year: 2008
Tongue: English
Weight: 243 KB
Volume: 281
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200510680

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✦ Synopsis

Abstract

For a large class of dyadic homogeneous Cantor distributions in ℝ, which are not necessarily self‐similar, we determine the optimal quantizers, give a characterization for the existence of the quantization dimension, and show the non‐existence of the quantization coefficient. The class contains all self‐similar dyadic Cantor distributions, with contraction factor less than or equal to 1/3. For these distributions we calculate the quantization errors explicitly. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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