Rate distortion with side-information at many receivers
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2011
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Timo, R.
Chan, T.
Grant, A.
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IEEE Transactions on Information Theory, 2011; 57(8):5240-5257
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We present a new inner bound for the admissible rate region of the t-stage successive-refinement problem with sideinformation. We also present a new upper bound for the ratedistortion function for lossy-source coding with multiple receivers and side-information. A single-letter characterisation of this ratedistortion 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," IEEE Trans. Inform. Theory, 1985. We give a counterexample to Heegard and Berger’s result.
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