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Lossy Broadcasting With Complementary Side Information

机译:附带辅助信息的有损广播

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摘要

A pair of strings $({bf X},{bf Y})$ put out by a memoryless source needs to be reliably communicated over a memoryless broadcast channel. Receiver 1 has ${bf Y}$ as side information and must reconstruct ${bf X}$ to within some distortion. Receiver 2 has ${bf X}$ and must reconstruct ${bf Y}$ 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.
机译:无记忆源发出的一对字符串$({bf X},{bf Y})$必须在无记忆广播信道上可靠地传递。接收器1将$ {bf Y} $作为辅助信息,必须将$ {bf X} $重建到一定程度的失真内。接收器2具有$ {bf X} $,并且必须将$ {bf Y} $重构到一定程度的失真内。该问题是由双向中继信道的广播阶段(下行链路)引起的。我们对具有二次失真功能的高斯信号源进行可靠的通信;有条件的独立来源;确定性失真函数;带有汉明失真功能的小失真。通过使用斯坦伯格的公共重建解码约束条件解决广播问题的新版本,可以得到最后的结果。

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