Diversity Embedded Streaming Erasure Codes (DE-SCo): Constructions and Optimality

Computer Science – Information Theory

Scientific paper

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JSAC, May 2011, Special Issue on Trading Rate for Delay at the Transport and Application Layers, Shorter version will appear i

Scientific paper

Streaming erasure codes guarantee that each source packet is recovered within a fixed delay at the receiver over a burst-erasure channel. This paper introduces a new class of streaming codes: Diversity Embedded Streaming Erasure Codes (DE-SCo), that provide a flexible tradeoff between the channel quality and receiver delay. When the channel conditions are good, the source stream is recovered with a low delay, whereas when the channel conditions are poor the source stream is still recovered, albeit with a larger delay. Information theoretic analysis of the underlying burst-erasure broadcast channel reveals that DE-SCo achieve the minimum possible delay for the weaker user, without sacrificing the single-user optimal performance of the stronger user. Our constructions are explicit, incur polynomial time encoding and decoding complexity and outperform random linear codes over burst-erasure channels.

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