An Extremal Inequality Motivated by Multiterminal Information-Theoretic Problems


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

DOI: 10.1109/TIT.2007.894680

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@article{Liu2006AnEI, title={An Extremal Inequality Motivated by Multiterminal Information-Theoretic Problems}, author={Tie Liu and Pramod Viswanath}, journal={IEEE Transactions on Information Theory}, year={2006}, volume={53}, pages={1839-1851} }