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.