Channel Modelling of MU-MIMO Systems by Quaternionic Free Probability

Ralf R. Muller, Burak Cakmak

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

9 Citations (Scopus)
580 Downloads (Pure)

Abstract

This paper studies the asymptotic eigenvalue distribution (AED) and the mutual information of a multiuser (MU) multiple-input multiple output (MIMO) channel with a certain fraction of users experiencing line-of-sight. It shows that the AED of the channel matrix decomposes into two separate bulks for practically relevant parameter choices and differs very much from the common assumption of independent identically distributed (iid) entries which induces the quarter circle law. This happens even without antenna correlation at either side of the channel. In order to tackle this problem the paper makes use of recent developments in free probability theory which allow to deal with complex-valued eigenvalue distributions of non-Hermitian matrices by means of quaternions
Original languageEnglish
Title of host publicationIEEE International Symposium on Information Theory 2012
Number of pages5
PublisherIEEE Press
Publication dateJul 2012
Pages2656-2660
ISBN (Print)978-1-4673-2580-6
ISBN (Electronic)978-1-4673-2578-3
DOIs
Publication statusPublished - Jul 2012
Externally publishedYes
EventIEEE International Symposium on Information Theory - Cambridge, United States
Duration: 1 Jul 20126 Jul 2012

Conference

ConferenceIEEE International Symposium on Information Theory
Country/TerritoryUnited States
CityCambridge
Period01/07/201206/07/2012
SeriesProceedings of the IEEE International Symposium on Information Theory
ISSN2157-8095

Keywords

  • MIMO systems
  • Free Probability

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