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Lossy Broadcasting With Complementary Side Information

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3 Author(s)
Timo, R. ; Inst. for Telecommun. Res., Univ. of South Australia, Adelaide, SA, Australia ; Grant, A. ; Kramer, G.

A pair of strings (X,Y) put out by a memoryless source needs to be reliably communicated over a memoryless broadcast channel. Receiver 1 has Y as side information and must reconstruct X to within some distortion. Receiver 2 has X and must reconstruct Y to within some distortion. The problem is motivated by the broadcast phase (downlink) of the two-way relay channel. We characterize reliable communication for Gaussian sources with quadratic distortion functions; conditionally independent sources; deterministic distortion functions; and small distortions with Hamming distortion functions. The last result is obtained by solving a new version of the broadcast problem with Steinberg's common-reconstruction decoding constraint.

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Information Theory, IEEE Transactions on  (Volume:59 ,  Issue: 1 )