Broadcasting Correlated Gaussians
| dc.creator | Bross, Shraga | |
| dc.creator | Lapidoth, Amos | |
| dc.creator | Tinguely, Stephan | |
| dc.date | 2007-10-29 | |
| dc.date | 2009-03-20 | |
| dc.date.accessioned | 2026-07-07T12:53:58Z | |
| dc.date.available | 2026-07-07T12:53:58Z | |
| dc.description | We consider 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. That is, Receiver~1 wishes to estimate the first source component and Receiver~2 wishes to estimate the second source component. 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. | |
| dc.description | submitted to the IEEE Transactions on Information Theory | |
| dc.identifier | https://arxiv.org/abs/0710.5376 | |
| dc.identifier | http://arxiv.org/abs/0710.5376 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223770 | |
| dc.subject | Information Theory | |
| dc.subject | E.4 | |
| dc.title | Broadcasting Correlated Gaussians | |
| dc.type | text |