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

Victor Quintero (1) , Samir Perlaza (1) , Iñaki Esnaola (2) , Jean-Marie M Gorce (1)

1 SOCRATE - Software and Cognitive radio for telecommunications
2 University of Sheffield [Sheffield]

In this paper, the capacity region of the linear deter-ministic interference channel with noisy channel-output feedback (LD-IC-NOF) is fully characterized. A capacity-achieving scheme 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 outer bounds as well as a set of new outer bounds that are obtained by using genie-aided models of the original LD-IC-NOF. Using the insights gained from the analysis of the LD-IC-NOF, an achievability region and a converse region for the two-user Gaussian interference channel with noisy channel-output feedback (G-IC-NOF) are presented. Finally, the achievability region and the converse region approximate the capacity region of the G-IC-NOF to within 4.4 bits.

Mots clés: Gaussian Interference Channel; Feedback and Capacity; Linear Deterministic Interference Channel

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

Victor Quintero, Samir Perlaza, Iñaki Esnaola, Jean-Marie M Gorce. Approximate Capacity Region of the Two-User Gaussian Interference Channel with Noisy Channel-Output Feedback. 2016. ⟨hal-01397118v1⟩