Lattice-based Robust Distributed Source Coding

TL;DR

This paper introduces a lattice-based distributed source coding system for correlated sources, demonstrating its ability to approach the theoretical limit under high resolution conditions, outperforming previous Gaussian code schemes.

Contribution

It presents a novel lattice-based coding scheme for distributed source coding that achieves the information-theoretic limit in certain asymptotic regimes.

Findings

Achieves the information-theoretic limit of quadratic multiple description coding for identical sources.

Outperforms Gaussian code-based schemes with a performance loss of 0.5 bits.

Effective under high resolution assumptions with low side distortion.

Abstract

In this paper, we propose a lattice-based robust distributed source coding system for two correlated sources and provide a detailed performance analysis under the high resolution assumption. It is shown, among other things, that, in the asymptotic regime where 1) the side distortion approaches 0 and 2) the ratio between the central and side distortions approaches 0, our scheme is capable of achieving the information-theoretic limit of quadratic multiple description coding when the two sources are identical, whereas a variant of the random coding scheme by Chen and Berger with Gaussian codes has a performance loss of 0.5 bits relative to this limit.