Abstract
A memoryless bivariate Gaussian source is transmitted to a pair of receivers over an average-power limited bandwidth-matched Gaussian broadcast channel. Based on their observations, Receiver 1 reconstructs the first source component while Receiver 2 reconstructs the second source component both seeking to minimize the expected squared-error distortions. In addition to the source transmission digital information at a specified rate should be conveyed reliably to Receiver 1-The 'stronger' receiver. Given the message rate we characterize the achievable distortions region. Specifically, there is an {\sf SNR}-Threshold below which Dirty Paper coding of the digital information against a linear combination of the source components is optimal. The threshold is a function of the digital information rate, the source correlation and the distortion at the 'stronger' receiver. Above this threshold a Dirty Paper coding extension of the Tian-Diggavi-Shamai hybrid scheme is shown to be optimal.
| Original language | English |
|---|---|
| Article number | 8954651 |
| Pages (from-to) | 2566-2578 |
| Number of pages | 13 |
| Journal | IEEE Transactions on Communications |
| Volume | 68 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 2020 |
Bibliographical note
Publisher Copyright:© 1972-2012 IEEE.
Funding
Manuscript received May 14, 2019; revised October 20, 2019 and December 22, 2019; accepted January 4, 2020. Date of publication January 9, 2020; date of current version April 16, 2020. This work was supported by the Israel Science Foundation under Grant 455/14. This article was presented in part at the 2019 IEEE International Symposium on Information Theory. The associate editor coordinating the review of this article and approving it for publication was A. Cohen.
| Funders | Funder number |
|---|---|
| Israel Science Foundation | 455/14 |
Keywords
- Gaussian broadcast channel
- asymmetric data transmission
- joint source-channel coding
- source broadcasting