Energy-Distortion Tradeoff for the Gaussian Broadcast Channel with Feedback
arXiv:1605.00204 · doi:10.3390/e19060243
Abstract
This work focuses on the minimum transmission energy required for communicating a pair of correlated Gaussian sources over a two-user Gaussian broadcast channel with noiseless and causal channel output feedback (GBCF). We study the fundamental limit on the required transmission energy for broadcasting a pair of source samples, such that each source can be reconstructed at its respective receiver to within a target distortion, when the source-channel bandwidth ratio is not restricted. We derive a lower bound and three distinct upper bounds on the minimum required energy. For the upper bounds we analyze three transmission schemes: Two schemes are based on separate source-channel coding, and apply coding over multiple samples of source pairs. The third scheme is based on joint source-channel coding obtained by extending the Ozarow-Leung (OL) transmission scheme, which applies uncoded linear transmission. Numerical simulations show that despite its simplicity, the energy-distortion tradeoff of the OL-based scheme is close to that of the better separation-based scheme, which indicates that the OL scheme is attractive for energy-efficient source transmission over GBCFs.
To be presented at ISIT 2016
References in corpus (6)
- Variations on a theme by Schalkwijk and Kailath
- Sending a Bi-Variate Gaussian over a Gaussian MAC
- Source-Channel Coding Theorems for the Multiple-Access Relay Channel
- Insufficiency of Linear-Feedback Schemes In Gaussian Broadcast Channels with Common Message
- On the Ozarow-Leung Scheme for the Gaussian Broadcast Channel with Feedback
- Energy-Distortion Tradeoff for the Gaussian Broadcast Channel with Feedback