Multidimensional asymptotic quantization theory withrth power distortion measures

1 March 1982

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory

Vol. 28 (2) , 239-247
https://doi.org/10.1109/tit.1982.1056486

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.

Keywords

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