熵约束标量量化子的结构

Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252) Pub Date : 2001-06-24 DOI:10.1109/ISIT.2001.935892

A. Gyorgy, T. Linder

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引用次数: 4

摘要

给出了关于最优熵约束标量量化器(ECSQs)的结构和存在性的新结果。一个主要结果表明，对于连续源和广泛的失真测度，任何有限级ECSQ都可以被具有相同熵和相等或更小失真的区间单元的ECSQ所取代。此外，在相当一般的条件下，证明了任意熵约束下最优ECSQ的存在性。

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On the structure of entropy-constrained scalar quantizers

New results concerning the structure and existence of optimal entropy-constrained scalar quantizers (ECSQs) are presented. One main result shows that for continuous sources and a wide class of distortion measures, any finite-level ECSQ can be replaced by an ECSQ with interval cells which has the same entropy and equal or less distortion. Furthermore, the existence of an optimal ECSQ for an arbitrary entropy constraint is shown under rather general conditions.

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Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)

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