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An Extremal Inequality Motivated by Multiterminal Information Theoretic Problems
Tie Liu, Pramod Viswanath · 2006-04-07 · via cs.IT updates on arXiv.org

We prove a new extremal inequality, motivated by the vector Gaussian broadcast channel and the distributed source coding with a single quadratic distortion constraint problems. As a corollary, this inequality yields a generalization of the classical entropy-power inequality (EPI). As another corollary, this inequality sheds insight into maximizing the differential entropy of the sum of two dependent random variables.

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