Approximate characterizations for the Gaussian broadcasting distortion region

Authors:
Chao Tian;Suhas N. Diggavi;Shlomo Shamai
Affiliations:
AT&T Labs-Research, Florham Park, NJ;Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland;Technion-Israel Institute of Technology, Haifa, Israel
Venue:
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
Year:
2009

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Abstract

We consider the joint source-channel coding problem of sending a Gaussian source over a K-user Gaussian broadcast channel with bandwidth mismatch. A new outer bound to the achievable distortion region is derived using the technique of introducing more than one additional auxiliary random variable, which was previously used to derive sum-rate lower bound for the Gaussian multiple description problem. By combining this outer bound with the source-channel-separation-based achievable region, we provide approximate characterizations of the achievable distortion region within constant multiplicative factors.