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This paper i s concerned with the use of Voronoi constellations for vector quantization of stat i o n a r y and nonstationary Gaussian sources. First, stationary Gaussian sources are t r e a t e d . The meansquared error (mse) criterion is used as the distort i o n measure and a p p r o x i m a t i o n s for the granular and the overload mse are derived. Then, nonstationary Gaussian sources are introduced. A new technique for quantization using a weighted metric and a high-diversity Voronoi constellation as the codebook is presented. Each part p r o v i d e s s i m u l a t i o n results for Voronoi constellations based on 0 4 , and h16.

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