An Extremal Inequality Motivated by Multiterminal Information Theoretic Problems
Information Theory
2007-07-13 v3 math.IT
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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Cite
@article{arxiv.cs/0604025,
title = {An Extremal Inequality Motivated by Multiterminal Information Theoretic Problems},
author = {Tie Liu and Pramod Viswanath},
journal= {arXiv preprint arXiv:cs/0604025},
year = {2007}
}
Comments
32 pages, 1 figure