Broadcasting Correlated Gaussians

被引:28
作者
Bross, Shraga I. [1 ]
Lapidoth, Amos [2 ]
Tinguely, Stephan [2 ]
机构
[1] Bar Ilan Univ, Sch Engn, IL-52900 Ramat Gan, Israel
[2] ETH, Dept Informat Technol & Elect Engn, CH-8092 Zurich, Switzerland
基金
瑞士国家科学基金会;
关键词
Broadcast channel; combined source-channel coding; correlated sources; Gaussian broadcast channel; Gaussian sources; lossy compression; mean squared-error distortion; uncoded transmission;
D O I
10.1109/TIT.2010.2048453
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We study the transmission of a memoryless bivariate Gaussian source over an average-power-constrained one-to-two Gaussian broadcast channel. The transmitter observes the source and describes it to the two receivers by means of an average-power-constrained signal. Each receiver observes the transmitted signal corrupted by a different additive white Gaussian noise and wishes to estimate the source component intended for it: Receiver 1 wishes to estimate the first source component and Receiver 2 wishes to estimate the second. Our interest is in the pairs of expected squared-error distortions that are simultaneously achievable at the two receivers. We prove that an uncoded transmission scheme that sends a linear combination of the source components achieves the optimal power-versus-distortion trade-off whenever the signal-to-noise ratio is below a certain threshold. The threshold is a function of the source correlation and the distortion at the receiver with the weaker noise.
引用
收藏
页码:3057 / 3068
页数:12
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