Multidimensional asymptotic quantization theory with th power distortion measures

Authors:
J. Bucklew;G. Wise
Affiliations:
-;-
Venue:
IEEE Transactions on Information Theory
Year:
2006

Citing 0
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Abstract

Asymptotic properties of therth power distortion measure associated with quantizedk-dimensional random variables are considered. Subject only to a moment condition, it is shown that the infimum over allNlevel quantizers of the quantityN^{r/k}times therth power average distortion converges to a finite constant asN rightarrow infty.