The Achievable Distortion Region of Bivariate Gaussian Source on Gaussian Broadcast Channel

Details The Achievable Distortion Region of Bivariate Gaussian Source on Gaussian Broadcast Channel The Achievable Distortion Region of Bivariate Gaussian Source on Gaussian Broadcast Channel

2010-06-03

arxiv.org/abs/1006.0644v1

Computer Science

Information Theory

13 pages, 4 figures, submitted to Trans. Information Theory; partial result to be presented at ISIT 2010

Scientific paper

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 setting is the worst scenario among the sources and channel noises with the same covariances.

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