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
2 University of Sheffield [Sheffield]

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.

Ce rapport présente une approximation de la capacité du canal à interférences Gaussien avec rétroalimentation degradée (G-IC-NOF). À cette fin, une région atteignable et une région converse du G-IC-NOF sont introduites, permettant de déterminer que la capacité du G-IC-NOF est approchée à 4.4 bits par utilisation de canal.

Mots clés: Achievable region; converse region; two-user Gaussian interference channel; noisy chanel-output feedback

Mots clés: Région atteignable; région converse; canal à interférences Gaussien; rétroalimentation dégradée.

Domaines: Théorie de l'information et codage [math.IT]; Traitement du signal et de l'image [eess.SP]

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⟩