Approximate Capacity of the Two-User Gaussian Interference Channel with Noisy Channel-Output Feedback

Victor Quintero 1 Samir M. Perlaza 1 Iñaki Esnaola 2 Jean-Marie Gorce 1
1 SOCRATE - Software and Cognitive radio for telecommunications
Inria Grenoble - Rhône-Alpes, CITI - CITI Centre of Innovation in Telecommunications and Integration of services
Abstract : In this research report, an achievability region and a converse region for the two-user Gaussian interference channel with noisy channel-output feedback (G-IC-NOF) are presented. The achievability region is obtained using a random coding argument and three well-known techniques: rate splitting, superposition coding and backward decoding. The converse region is obtained using some of the existing perfect-output feedback outer-bounds as well as a set of new outer-bounds that are obtained by using genie-aided models of the original G-IC-NOF. Finally, it is shown that the achievability region and the converse region approximate the capacity region of the G-IC-NOF to within a constant gap in bits per channel use.
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Victor Quintero, Samir M. Perlaza, Iñaki Esnaola, Jean-Marie Gorce. Approximate Capacity of the Two-User Gaussian Interference Channel with Noisy Channel-Output Feedback. [Research Report] RR-8861, Inria - Research Centre Grenoble – Rhône-Alpes. 2016, pp.39. ⟨hal-01315887v5⟩

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