The Golden Quantizer: The Complex Gaussian Random Variable Case
Information Theory
2017-09-12 v1 math.IT
Abstract
The problem of quantizing a circularly-symmetric complex Gaussian random variable is considered. For this purpose, we design two non-uniform quantizers, a high-rate-, and a Lloyd-Max-, quantizer that are both based on the (golden angle) spiral-phyllotaxis packing principle. We find that the proposed schemes have lower mean-square error distortion compared to (non)-uniform polar/rectangular-quantizers, and near-identical to the best performing trained vector quantizers. The proposed quantizer scheme offers a structured design, a simple natural index ordering, and allow for any number of centroids.
Cite
@article{arxiv.1709.03102,
title = {The Golden Quantizer: The Complex Gaussian Random Variable Case},
author = {Peter Larsson and Lars K. Rasmussen and Mikael Skoglund},
journal= {arXiv preprint arXiv:1709.03102},
year = {2017}
}
Comments
4 pages, 4 figures, submitted for possible publication in IEEE wireless communications letters