Large-system analysis of the K-hop AF MIMO relay channel with arbitrary inputs

Maksym A. Girnyk, Mikko Vehkaperä, Lars K. Rasmussen

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

4 Citations (Scopus)

Abstract

The present paper investigates the achievable data rates of multi-hop amplify-and-forward multi-antenna relay channels with arbitrary number of hops K. Each multi-antenna terminal in the system amplifies the received signal and retransmits it upstream. To analyze the ergodic end-to-end mutual information of the system, one has to perform averaging over the fading coefficients. To overcome this difficulty we apply large-system analysis, based on the assumption that the number of antennas grows without bound at every terminal. Using the replica method, we derive an explicit asymptotic expression for the ergodic mutual information between the input and output of the K-hop channel with no restrictions on the channel inputs. Numerical results support the validity of the replica analysis and show that the result is tight even for small antenna arrays.

Original languageEnglish
Title of host publication2013 IEEE International Symposium on Information Theory, ISIT 2013
PublisherIEEE Institute of Electrical and Electronic Engineers
Pages439-443
ISBN (Print)978-1-4799-0446-4
DOIs
Publication statusPublished - 19 Dec 2013
MoE publication typeA4 Article in a conference publication
Event2013 IEEE International Symposium on Information Theory, ISIT 2013 - Istanbul, Turkey
Duration: 7 Jul 201312 Jul 2013

Publication series

SeriesIEEE International Symposium on Information Theory. Proceedings
Volume2014
ISSN2157-8095

Conference

Conference2013 IEEE International Symposium on Information Theory, ISIT 2013
CountryTurkey
CityIstanbul
Period7/07/1312/07/13

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