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Paper IDI.3.2
Paper Title On the structure of certain non-convex functionals and the Gaussian Z-interference channel
Authors Max Costa, University of Campinas, Brazil; Chandra Nair, David Ng, Yan Nan Wang, The Chinese University of Hong Kong, China
Session I.3: Interference Channel I
Presentation Lecture
Track Network Information Theory
Manuscript  Click here to download the manuscript
Virtual Presentation  Click here to watch in the Virtual Symposium
Abstract 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.

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2021 IEEE International Symposium on Information Theory

11-16 July 2021 | Melbourne, Victoria, Australia

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