Optimal Quantization for Dyadic Homogeneous Cantor Distributions
نویسنده
چکیده
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.
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