On suboptimal multidimensional companding

Author

Simon, Stephan F.

Author_Institution

Tech. Hochschule Aachen, Germany

fYear

1998

fDate

30 Mar-1 Apr 1998

Firstpage

438

Lastpage

447

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

Keywords

compandors; vector quantisation; companding loss; compressor; conformal transformations; expander; large VQ dimensions; lattice VQ; linear transformations; linear translations; nonlinear mapping; normalized second moments; reciprocal radii; reflections; spherically symmetric compander; suboptimal multidimensional companding; vector quantizer; Conformal mapping; Data compression; Lattices; Multidimensional systems; Probability density function; Shape; Vector quantization;

fLanguage

English

Publisher

ieee

Conference_Titel

Data Compression Conference, 1998. DCC '98. Proceedings

Conference_Location

Snowbird, UT

ISSN

1068-0314

Print_ISBN

0-8186-8406-2

Type

conf

DOI

10.1109/DCC.1998.672191

Filename

672191