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Multidimensional spherical coordinates quantization

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2 Author(s)

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 in k dimensions with k> 2(k=2 matches published results) is considered. Examples are presented along with comparisons to the rectangular (one-dimensional) and optimal schemes.

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Information Theory, IEEE Transactions on  (Volume:29 ,  Issue: 4 )