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An Extremal Inequality Motivated by Multiterminal Information-Theoretic Problems

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2 Author(s)
Tie Liu ; Dept. of Electr. & Comput. Eng., Texas A&M Univ., College Station, TX ; Viswanath, P.

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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Information Theory, IEEE Transactions on  (Volume:53 ,  Issue: 5 )