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Monotonicity of Step Sizes of MSE-Optimal Symmetric Uniform Scalar Quantizers.
- Source :
-
IEEE Transactions on Information Theory . Mar2019, Vol. 65 Issue 3, p1782-1792. 11p. - Publication Year :
- 2019
-
Abstract
- For generalized gamma probability densities, this paper studies the monotonicity of step sizes of optimal symmetric uniform scalar quantizers with respect to mean squared-error distortion. The principal results are that for the special cases of Gaussian, Laplacian, two-sided Rayleigh, and gamma densities, optimal step size monotonically decreases when the number of levels $N$ increases by two, and that for any generalized gamma density and all sufficiently large $N$ , optimal step size again decreases when $N$ increases by two. Also, it is shown that for a Laplacian density and sufficiently large $N$ , optimal step size decreases when $N$ increases by just one. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 65
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 134886971
- Full Text :
- https://doi.org/10.1109/TIT.2018.2867182