Asymptotic sum-capacity of random Gaussian interference networks using interference alignment

MP Aldridge, OT Johnson, RJ Piechocki

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

4 Citations (Scopus)

Abstract

We consider a dense n-user Gaussian interference network formed by paired transmitters and receivers placed independently at random in Euclidean space. Under natural conditions on the node position distributions and signal attenuation, we prove convergence in probability of the average per-user capacity CΣ/n to ½ E log(1 + 2SNR). The achievability result follows directly from results based on an interference alignment scheme presented in recent work of Nazer et al. Our main contribution comes through the converse result, motivated by ideas of `bottleneck links' developed in recent work of Jafar. An information theoretic argument gives a capacity bound on such bottleneck links, and probabilistic counting arguments show there are sufficiently many such links to tightly bound the sum-capacity of the whole network.
Translated title of the contributionAsymptotic sum-capacity of random Gaussian interference networks using interference alignment
Original languageEnglish
Title of host publicationIEEE International Symposium on Information Theory 2010 (ISIT), Austin, USA
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages410 - 414
Number of pages4
ISBN (Print)9781424478903
DOIs
Publication statusPublished - 13 Jun 2010

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