Noisy Channel-Output Feedback Capacity of the Linear Deterministic Interference Channel

Victor Quintero 1, 2 Samir M. Perlaza 2 Jean-Marie Gorce 2
2 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 paper, the capacity region of the two-user linear deterministic (LD) interference channel with noisy output feedback (IC-NOF) is fully characterized. This result allows the identification of several asymmetric scenarios in which imple- menting channel-output feedback in only one of the transmitter- receiver pairs is as beneficial as implementing it in both links, in terms of achievable individual rate and sum-rate improvements w.r.t. the case without feedback. In other scenarios, the use of channel-output feedback in any of the transmitter-receiver pairs benefits only one of the two pairs in terms of achievable individual rate improvements or simply, it turns out to be useless, i.e., the capacity regions with and without feedback turn out to be identical even in the full absence of noise in the feedback links.
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Victor Quintero, Samir M. Perlaza, Jean-Marie Gorce. Noisy Channel-Output Feedback Capacity of the Linear Deterministic Interference Channel. IEEE Information Theory Workshop (ITW), Oct 2015, Jeju Island, South Korea. pp.89 - 93 ⟨10.1109/ITWF.2015.7360740⟩. ⟨hal-01207339v3⟩

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