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On $L_{\infty}$ Properties of Multiresolution...
Journal article

On $L_{\infty}$ Properties of Multiresolution Scalar Quantizers

Abstract

We investigate the max-norm $(L_{\infty})$ properties of multiresolution scalar quantizers (MRSQ). The multiresolution requirement imposes nontrivial constraints on the maximum distortion at each level of the quantizer. To quantify these constraints, we define the overall multiresolution $L_{\infty}$ distortion of an MRSQ to be a weighted sum of $L_{\infty}$ distortions over all refinement levels of the MRSQ. We then seek MRSQ constructions …

Authors

Sarshar N; Wu X

Journal

IEEE Transactions on Information Theory, Vol. 56, No. 11, pp. 5805–5810

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Publication Date

November 1, 2010

DOI

10.1109/tit.2010.2068730

ISSN

0018-9448