An Extremal Inequality Motivated by Multiterminal Information Theoretic Problems

Details An Extremal Inequality Motivated by Multiterminal Information Theoretic Problems An Extremal Inequality Motivated by Multiterminal Information Theoretic Problems

2006-04-07

arxiv.org/abs/cs/0604025v3

Computer Science

Information Theory

32 pages, 1 figure

Scientific paper

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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