Victor Quintero will defend his doctoral thesis entitled: “Noisy Channel-Output Feedback in the Interference Channel”. On the approval of the reviewers, the defense will be scheduled for the 12th of December at 2:00 p.m. in Amphithéâtre Émilie du Châtelet – Bibliothèque Marie Curie of the University of Lyon, 31 Avenue Jean Capelle O, 69100 Villeurbanne, France.
Abstract:
In this thesis, the two-user Gaussian interference channel with noisy channel-output feedback (GIC-NOF) is studied from two perspectives: centralized and decentralized networks. From the perspective of centralized networks, the fundamental limits of the two-user GIC-NOF are characterized by the capacity region. One of the main contributions of this thesis is an approximation to within a constant number of bits of the capacity region of the two-user GIC-NOF. This result is obtained thanks to the analysis of a simpler channel model, i.e., a two-user linear deterministic interference channel with noisy channel-output feedback (LDIC-NOF). The analysis to obtain the capacity region of the two-user LDIC-NOF provides the main insights required to analyze the two-user GIC-NOF. From the perspective of decentralized networks, the fundamental limits of the two-user decentralized GIC-NOF (D-GIC-NOF) are characterized by the η-Nash equilibrium (η-NE) region. Another contribution of this thesis is an approximation to the η-NE region of the two-user GIC-NOF, with η > 1. As in the centralized case, the two-user decentralized LDIC-NOF (D-LDIC-NOF) is studied first and the lessons learnt are applied in the two-user D-GIC-NOF. The final contribution of this thesis consists of a closed-form answer to the question: “When does channel-output feedback enlarge the capacity or η-NE regions of the two-user GIC-NOF or two-user D-GIC-NOF?”. This answer is of the form: Implementing channel-output feedback in transmitter-receiver i enlarges the capacity or η-NE regions if the feedback SNR is beyond SNRi*, with i ∈ {1, 2}. The approximate value of SNR i is shown to be a function of all the other parameters of the two-user GIC-NOF or two-user D-GIC-NOF.
The jury is composed by:
Dr. Michèle Wigger, Associate Professor, Télécom ParisTech, France. Reviewer.
Dr. Abdellatif Zaidi, Associate Professor, Université Paris-Est Marne la Vallée, France. Reviewer.
Dr. Inbar Fijalkow, Professor, Université de Cergy-Pontoise, France. Examiner.
Dr. H. Vincent Poor, Professor, Princeton University, USA. Examiner.
Dr. Gerhard Kramer, Professor, Technische Universität München, Germany. Examiner.
Dr. David Gesbert, Professor, Eurecom, France. Examiner.
Dr. Jean-Marie Gorce, Professor, Université de Lyon, France. Thesis Director.
Dr. Samir M. Perlaza, Research Scientist, INRIA, France. Thesis Advisor.
Dr. Iñaki Esnaola, Senior Lecturer, University of Sheffield, UK. Guest.
