2020 IEEE International Symposium
on Information Theory
21-26 June 2020 • Los Angeles, California, USA
| Paper ID | I.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. | ||
Plan Ahead
2021 IEEE International Symposium on Information Theory
11-16 July 2021 | Melbourne, Victoria, Australia
