Lattice-based Robust Distributed Source Coding for Three Correlated Sources

In this paper, we propose a lattice-based robust distributed source coding system for three correlated sources and provide a detailed performance analysis under the high resolution assumption. The analysis implies, among other things, that for the degenerate case where the three sources are identical Gaussian, the performance of our scheme is close to the informationtheoretic limit of quadratic symmetric Gaussian multiple description coding with central and individual decoders, when the side distortion and the ratio between the central and side distortions both approach 0. Specifically, our scheme can achieve within an asymptotic gap of 0.069 bits from the theoretical limit in terms of rate per description.