Rate-Distortion with Side-Information at Many Decoders

Roy Timo; Terence Chan; Alexander Grant

doi:10.1109/tit.2011.2158472

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arXiv · 0901.1705

Rate-Distortion with Side-Information at Many Decoders

Roy Timo·Terence Chan·Alexander Grant

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Abstract

We present a new inner bound for the rate region of the $t$-stage successive-refinement problem with side-information. We also present a new upper bound for the rate-distortion function for lossy-source coding with multiple decoders and side-information. Characterising this rate-distortion function is a long-standing open problem, and it is widely believed that the tightest upper bound is provided by Theorem 2 of Heegard and Berger's paper "Rate Distortion when Side Information may be Absent", \emph{IEEE Trans. Inform. Theory}, 1985. We give a counterexample to Heegard and Berger's result.

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Roy Timo, Terence Chan, Alexander Grant. 2009-01-13. Rate-Distortion with Side-Information at Many Decoders. https://doi.org/10.1109/tit.2011.2158472

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