Quantization of both stationary and nonstationary Gaussian sources with Voronoi constellations

Abstract

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.

About the Performance of Practical Dirty Paper Coding Schemes in Gaussian MIMO Broadcast Channels

“…However, for higher dimensions no simple and complete solution to this problem, which consists in quantizing a source with Voronoi constellations, is available. For example, suboptimum mapping schemes such as those proposed by Pepin et al [15] can be used.…”