Thesis Defense: Noisy Channel-Output Feedback in the Interference Channel by Victor Quintero

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.

[Thesis Manuscript.pdf]

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.

[Thesis Manuscript.pdf]

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