mn header will be provided by the publisher Optimal Quantization for Dyadic Homogeneous Cantor Distributions

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. Copyright line will be provided by the publisher