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

Fingerprint

Relay Channel
Systems Analysis
MIMO systems
Multiple-input multiple-output (MIMO)
Antenna
Systems analysis
Antennas
Mutual Information
Arbitrary
Replica Method
Antenna Arrays
Amplify-and-forward
Multi-hop
Fading
Replica
Antenna arrays
Averaging
Restriction
Numerical Results
Output

Cite this

Girnyk, M. A., Vehkaperä, M., & Rasmussen, L. K. (2013). Large-system analysis of the K-hop AF MIMO relay channel with arbitrary inputs. In 2013 IEEE International Symposium on Information Theory, ISIT 2013 (pp. 439-443). [6620264] IEEE Institute of Electrical and Electronic Engineers . IEEE International Symposium on Information Theory. Proceedings, Vol.. 2014 https://doi.org/10.1109/ISIT.2013.6620264
Girnyk, Maksym A. ; Vehkaperä, Mikko ; Rasmussen, Lars K. / Large-system analysis of the K-hop AF MIMO relay channel with arbitrary inputs. 2013 IEEE International Symposium on Information Theory, ISIT 2013. IEEE Institute of Electrical and Electronic Engineers , 2013. pp. 439-443 (IEEE International Symposium on Information Theory. Proceedings, Vol. 2014).
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Girnyk, MA, Vehkaperä, M & Rasmussen, LK 2013, Large-system analysis of the K-hop AF MIMO relay channel with arbitrary inputs. in 2013 IEEE International Symposium on Information Theory, ISIT 2013., 6620264, IEEE Institute of Electrical and Electronic Engineers , IEEE International Symposium on Information Theory. Proceedings, vol. 2014, pp. 439-443, 2013 IEEE International Symposium on Information Theory, ISIT 2013, Istanbul, Turkey, 7/07/13. https://doi.org/10.1109/ISIT.2013.6620264

Large-system analysis of the K-hop AF MIMO relay channel with arbitrary inputs. / Girnyk, Maksym A.; Vehkaperä, Mikko; Rasmussen, Lars K.

2013 IEEE International Symposium on Information Theory, ISIT 2013. IEEE Institute of Electrical and Electronic Engineers , 2013. p. 439-443 6620264 (IEEE International Symposium on Information Theory. Proceedings, Vol. 2014).

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

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Girnyk MA, Vehkaperä M, Rasmussen LK. Large-system analysis of the K-hop AF MIMO relay channel with arbitrary inputs. In 2013 IEEE International Symposium on Information Theory, ISIT 2013. IEEE Institute of Electrical and Electronic Engineers . 2013. p. 439-443. 6620264. (IEEE International Symposium on Information Theory. Proceedings, Vol. 2014). https://doi.org/10.1109/ISIT.2013.6620264