The Achievable Distortion Region of Sending a Bivariate Gaussian Source on the Gaussian Broadcast Channel Academic Article

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. 2011 IEEE.

authors

• Tian, Chao

published proceedings

• IEEE Transactions on Information Theory

author list (cited authors)

• Tian, C., Diggavi, S., & Shamai, S.

citation count

• 40

complete list of authors

• Tian, Chao||Diggavi, Suhas||Shamai, Shlom

publication date

• January 2011

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE TRANSACTIONS ON INFORMATION THEORY  Journal

Digital Object Identifier (DOI)

• 10.1109/tit.2011.2165801

start page

• 6419

end page

• 6427

volume

• 57

issue

• 10