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arXiv · 1709.03102

The Golden Quantizer: The Complex Gaussian Random Variable Case

Peter Larsson·Lars K. Rasmussen·Mikael Skoglund
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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.

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Peter Larsson, Lars K. Rasmussen, Mikael Skoglund. 2017-09-10. The Golden Quantizer: The Complex Gaussian Random Variable Case. https://arxiv.org/abs/1709.03102

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