Broadcasting Correlated Vector Gaussians

Lin Song; Jun Chen; Chao Tian

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arXiv · 1503.02927

Broadcasting Correlated Vector Gaussians

Lin Song·Jun Chen·Chao Tian

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Abstract

The problem of sending two correlated vector Gaussian sources over a bandwidth-matched two-user scalar Gaussian broadcast channel is studied in this work, where each receiver wishes to reconstruct its target source under a covariance distortion constraint. We derive a lower bound on the optimal tradeoff between the transmit power and the achievable reconstruction distortion pair. Our derivation is based on a new bounding technique which involves the introduction of appropriate remote sources. Furthermore, it is shown that this lower bound is achievable by a class of hybrid schemes for the special case where the weak receiver wishes to reconstruct a scalar source under the mean squared error distortion constraint.

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Lin Song, Jun Chen, Chao Tian. 2015-03-10. Broadcasting Correlated Vector Gaussians. https://arxiv.org/abs/1503.02927

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