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
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2165801