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On suboptimal multidimensional companding

Authors: Stephen F. Simon;

On suboptimal multidimensional companding

Abstract

A vector quantizer (VQ) consisting of a nonlinear mapping (compressor), a lattice VQ, and the inverse of the compressor (expander) is considered. While it was previously pointed out that in dimensions k>2 except for linear transformations and translations only reflections through reciprocal radii can preserve optimality in terms of the lattice cells' normalized second moments, we consider the suboptimal case and provide a method to determine the loss introduced by companding. Using a spherically symmetric compander as an example, it is demonstrated that the loss can be kept very small in practical situations, especially when large VQ dimensions are chosen.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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