Delay-constrained streaming of Gauss-Markov sources over erasure channels

Abstract

Two setups involving delay-constrained sequential transmission of a vector Gauss-Markov source over a burst-erasure channel are studied. The encoder sequentially compresses the source vectors to be transmitted in a causal fashion. The channel introduces a single erasure burst of length up to B during the transmission. In streaming with controlled-interruption, the decoder reconstructs the source vectors within average distortion D and maximum delay of T, whenever the channel packets are not erased. In streaming with ideal-playback, the decoder reconstructs all the source vectors within average distortion D and maximum delay of T. Upper and lower bounds on the minimum compression rate are derived for each setup. The bounds coincide in the high resolution regime for both cases and in large delay regime for the case of ideal-playback.