An Extremal Inequality Motivated by the Vector Gaussian Broadcast Channel Problem
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چکیده
We prove a new extremal inequality, motivated by the vector Gaussian broadcast channel problem. As a corollary, this inequality yields a generalization of the classical vector entropy-power inequality (EPI). As another corollary, this inequality sheds insight into maximizing the differential entropy of the sum of two jointly distributed random variables.
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تاریخ انتشار 2008