Outer bounds for the interference channel with a cognitive relay

Stefano Rini*, Daniela Tuninetti, Natasha Devroye

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

24 Scopus citations

Abstract

In this paper, we first present an outer bound for a general interference channel with a cognitive relay, i.e., a relay that has non-causal knowledge of both independent messages transmitted in the interference channel. This outer bound reduces to the capacity region of the deterministic broadcast channel and of the deterministic cognitive interference channel the through nulling of certain channel inputs. It does not, however, reduce to that of certain deterministic interference channels for which capacity is known. As such, we subsequently tighten the bound for channels whose outputs satisfy an invertibility condition. This second outer bound now reduces to the capacity of the special class of deterministic interference channels for which capacity is known. The second outer bound is further tightened for the high-SNR deterministic approximation of the Gaussian channel by exploiting the special structure of the interference. We provide an example that suggests that this third bound is tight in at least some parameter regimes for the high-SNR deterministic approximation of the Gaussian channel. Another example shows that the third bound is capacity in the special case where there are no direct links between the non-cognitive transmitters.

Original languageEnglish
Title of host publication2010 IEEE Information Theory Workshop, ITW 2010 - Proceedings
DOIs
StatePublished - 1 Dec 2010
Event2010 IEEE Information Theory Workshop, ITW 2010 - Dublin, Ireland
Duration: 30 Aug 20103 Sep 2010

Publication series

Name2010 IEEE Information Theory Workshop, ITW 2010 - Proceedings

Conference

Conference2010 IEEE Information Theory Workshop, ITW 2010
CountryIreland
CityDublin
Period30/08/103/09/10

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