Abstract
We consider the broadcasting of a scalar memoryless Gaussian source over a two-user Gaussian broadcast channel with bandwidth expansion. In concurrent with the source description, a message that should be decoded reliably just by the 'higher quality' user is sent. Conditioned on the message rate, we derive a necessary condition for the achievability of a mean-squared-error distortion pair at the two receivers, which extends the Reznic-Feder-Zamir bound. This necessary condition and a sufficient condition that we derive establish the set of achievable energy-distortion exponents for this setting.
| Original language | English |
|---|---|
| Article number | 8751988 |
| Pages (from-to) | 6698-6710 |
| Number of pages | 13 |
| Journal | IEEE Transactions on Communications |
| Volume | 67 |
| Issue number | 10 |
| DOIs | |
| State | Published - Oct 2019 |
Bibliographical note
Publisher Copyright:© 1972-2012 IEEE.
Funding
Manuscript received December 13, 2018; revised May 12, 2019; accepted June 18, 2019. Date of publication July 1, 2019; date of current version October 16, 2019. The work of S. Bross was supported by the Israel Science Foundation under Grant 455/14. This paper was presented in part at the 2017 IEEE International Symposium on Information Theory. The associate editor coordinating the review of this paper and approving it for publication was S. Mohajer. (Corresponding author: Shraga I. Bross.) S. I. Bross is with the Faculty of Engineering, Bar-Ilan University, Ramat Gan 52900, Israel (e-mail: [email protected]).
| Funders | Funder number |
|---|---|
| Israel Science Foundation | 455/14 |
Keywords
- Gaussian broadcast channel
- asymmetric data transmission
- joint source-channel coding
- source broadcasting