Quantization schemes for bivariate Gaussian random variables
James Antonio Bucklew, Neal C. Gallagher · IEEE Transactions on Information Theory · 1979
The problem of quantizing two-dimensional Gaussian random variables is considered. It is shown that, for all but a finite number of cases, a polar representation gives a smaller mean square quantization error than a Cartesian representation. Applications of the results to a transform coding scheme known as spectral phase coding are discussed.