On Zero-Error Source Coding with Feedback

Details On Zero-Error Source Coding with Feedback On Zero-Error Source Coding with Feedback

2010-01-14

arxiv.org/abs/1001.2547v1

Computer Science

Information Theory

Scientific paper

We consider the problem of zero error source coding with limited feedback when side information is present at the receiver. First, we derive an achievable rate region for arbitrary joint distributions on the source and the side information. When all source pairs of source and side information symbols are observable with non-zero probability, we show that this characterization gives the entire rate region. Next, we demonstrate a class of sources for which asymptotically zero feedback suffices to achieve zero-error coding at the rate promised by the Slepian-Wolf bound for asymptotically lossless coding. Finally, we illustrate these results with the aid of three simple examples.

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