Robust Streaming Erasure Codes based on Deterministic Channel Approximations
arXiv:1305.3596
Abstract
We study near optimal error correction codes for real-time communication. In our setup the encoder must operate on an incoming source stream in a sequential manner, and the decoder must reconstruct each source packet within a fixed playback deadline of packets. The underlying channel is a packet erasure channel that can introduce both burst and isolated losses. We first consider a class of channels that in any window of length introduce either a single erasure burst of a given maximum length or a certain maximum number of isolated erasures. We demonstrate that for a fixed rate and delay, there exists a tradeoff between the achievable values of and and propose a family of codes that is near optimal with respect to this tradeoff. We also consider another class of channels that introduce both a burst {\em and} an isolated loss in each window of interest and develop the associated streaming codes. All our constructions are based on a layered design and provide significant improvements over baseline codes in simulations over the Gilbert-Elliott channel.
An abridged version of this paper will appear in ISIT 2013