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arXiv · 2103.02335

Universal Gaussian Quantization with Side Information using Polar Lattices

Shubham Jha
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Abstract

We consider universal quantization with side information for Gaussian observations, where the side information is a noisy version of the sender's observation with noise variance unknown to the sender. In this paper, we propose a universally rate optimal and practical quantization scheme for all values of unknown noise variance. Our scheme uses Polar lattices from prior work, and proceeds based on a structural decomposition of the underlying auxiliaries so that even when recovery fails in a round, the parties agree on a common "reference point" that is closer than the previous one. We also present the finite blocklength analysis showing an sub-exponential convergence for distortion and exponential convergence for rate. The overall complexity of our scheme is $O(N^2\log^2 N)$ for any target distortion and fixed rate larger than the rate-distortion bound.

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Shubham Jha. 2021-03-03. Universal Gaussian Quantization with Side Information using Polar Lattices. https://doi.org/10.1109/jsait.2023.3247864

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