An Extremal Inequality Motivated by Multiterminal Information Theoretic Problems

2006/04/07 by Liu, Tie, Viswanath, Pramod
#FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.cs/0604025

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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