An Extremal Inequality Motivated by Multiterminal Information Theoretic Problems

Tie Liu; Pramod Viswanath

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An Extremal Inequality Motivated by Multiterminal Information Theoretic Problems

Tie Liu·Pramod Viswanath

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Abstract

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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Tie Liu, Pramod Viswanath. 2006-11-07. An Extremal Inequality Motivated by Multiterminal Information Theoretic Problems. https://arxiv.org/abs/cs/0604025

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