Multidimensional spherical coordinates quantization

Authors:
P. Swaszek;J. Thomas
Affiliations:
-;-
Venue:
IEEE Transactions on Information Theory
Year:
2006

Citing 0
Cited 2

Geometric piecewise uniform lattice vector quantization of the memoryless Gaussian source

Information Sciences: an International Journal
Variable-length coding for performance improvement of asymptotically optimal unrestricted polar quantization of bivariate Gaussian source

Information Sciences: an International Journal

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Abstract

Several investigators have considered polar coordinates quantization of a circularly symmetric source; in particular, the independent bivariate Gaussian source. Their schemes quantize the polar coordinates independently in an attempt to reduce the mean-square error below that of an analogous rectangular coordinates quantizer yet retain an implementation simpler than that of the optimal bivariate quantizer. The design of a spherical coordinates quantizer inkdimensions withk>2(k=2matches published results) is considered. Examples are presented along with comparisons to the rectangular (one-dimensional) and optimal schemes.