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 |
Keywords
- Gaussian broadcast channel
- asymmetric data transmission
- joint source-channel coding
- source broadcasting
All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering