DocumentCode :
1340266
Title :
The Achievable Distortion Region of Sending a Bivariate Gaussian Source on the Gaussian Broadcast Channel
Author :
Tian, Chao ; Diggavi, Suhas ; Shamai, Shlom
Author_Institution :
AT&T Labs.-Res., Florham Park, NJ, USA
Volume :
57
Issue :
10
fYear :
2011
Firstpage :
6419
Lastpage :
6427
Abstract :
We provide a complete characterization of the achievable distortion region for the problem of sending a bivariate Gaussian source over bandwidth-matched Gaussian broadcast channels, where each receiver is interested in only one component of the source. This setting naturally generalizes the simple single Gaussian source bandwidth-matched broadcast problem for which the uncoded scheme is known to be optimal. We show that a hybrid scheme can achieve the optimum for the bivariate case, but neither an uncoded scheme alone nor a separation-based scheme alone is sufficient. We further show that in this joint source channel coding setting, the Gaussian scenario is the worst scenario among the sources and channel noises with the same covariances.
Keywords :
Gaussian channels; broadcast channels; channel coding; source coding; achievable distortion region; bandwidth-matched Gaussian broadcast channel; bivariate gaussian source; channel noise; joint source channel coding setting; separation-based scheme; single Gaussian source bandwidth-matched broadcast problem; uncoded scheme; Broadcasting; Channel coding; Decoding; Joints; Noise; Receivers; Gaussian source; joint source-channel coding; squared error distortion measure;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2011.2165801
Filename :
6034746
Link To Document :
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