A result on multidimensional quantization
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- by Eric B. Hall and Gary L. Wise
- Proc. Amer. Math. Soc. 118 (1993), 609-613
- DOI: https://doi.org/10.1090/S0002-9939-1993-1129878-X
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Abstract:
For any integer $N > 1$, a probability space, a Gaussian random vector $X$ defined on the space with a positive definite covariance matrix, and an $N$-level quantizer $Q$ are presented such that the random vector $Q(X)$ takes on each of the $N$ values in its range with equal probability and such that $X$ and $Q(X)$ are independent.References
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Bibliographic Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 609-613
- MSC: Primary 60A10
- DOI: https://doi.org/10.1090/S0002-9939-1993-1129878-X
- MathSciNet review: 1129878