Elements of information theory
Elements of information theory
Information Theory and Reliable Communication
Information Theory and Reliable Communication
Approximate characterizations for the Gaussian broadcasting distortion region
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
Hybrid coding for Gaussian broadcast channels with Gaussian sources
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
Sending a bivariate Gaussian source over a Gaussian MAC with feedback
IEEE Transactions on Information Theory
Sending a bivariate Gaussian over a Gaussian MAC
IEEE Transactions on Information Theory
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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.