|On the structure of certain non-convex functionals and the Gaussian Z-interference channel
|Max Costa, University of Campinas, Brazil; Chandra Nair, David Ng, Yan Nan Wang, The Chinese University of Hong Kong, China
|I.3: Interference Channel I
|Network Information Theory
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|In this paper we establish that a maximizer of a non-convex problem in positive semidefinite matrices has a certain property using information-theoretic methods. Further, we propose a Gaussian extremality conjecture, which if true, would imply that Gaussian signaling achieves the capacity region of the Gaussian Z-interference channel. The non-convex problem mentioned above arose naturally in the reduction from the conjecture to the optimality of Gaussian signaling.