Real-time streaming of Gauss-Markov sources over sliding window burst-erasure channels

We study sequential streaming of Gauss-Markov sources over a burst-erasure channel. In any sliding window of length L, the channel introduces a single erasure burst of maximum length B. The encoder observes a sequence of vector Gaussian sources, where the vectors are i.i.d. across the spatial dimension and correlated across the temporal dimension. The encoder output can depend on all source vectors observed up to that time but not on any future source vectors. The decoder is required to reconstruct the source vectors instantaneously and within a quadratic distortion constraint of D, except those source vectors that either appear during the erasure periods or a recovery period of W following each erasure burst. We focus on time-invariant encoders and establish upper and lower bounds on the minimum compression rate R(L, B, W, D). Our lower bound is obtained by making connection to a Gaussian multi-terminal source coding problem. The upper bound is based on distributed source coding, but requires a careful analysis of the achievable rate. Numerical comparisons indicate that the proposed technique provides significant gains over other baseline schemes.