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 language | English |
|---|---|
| Title of host publication | 2013 IEEE International Symposium on Information Theory, ISIT 2013 |
| Publisher | IEEE Institute of Electrical and Electronic Engineers |
| Pages | 439-443 |
| ISBN (Print) | 978-1-4799-0446-4 |
| DOIs | |
| Publication status | Published - 19 Dec 2013 |
| MoE publication type | A4 Article in a conference publication |
| Event | 2013 IEEE International Symposium on Information Theory, ISIT 2013 - Istanbul, Turkey Duration: 7 Jul 2013 → 12 Jul 2013 |
Publication series
| Series | IEEE International Symposium on Information Theory. Proceedings |
|---|---|
| Volume | 2014 |
| ISSN | 2157-8095 |
Conference
| Conference | 2013 IEEE International Symposium on Information Theory, ISIT 2013 |
|---|---|
| Country | Turkey |
| City | Istanbul |
| Period | 7/07/13 → 12/07/13 |
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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 proceeding › Conference article in proceedings › Scientific › peer-review
TY - GEN
T1 - Large-system analysis of the K-hop AF MIMO relay channel with arbitrary inputs
AU - Girnyk, Maksym A.
AU - Vehkaperä, Mikko
AU - Rasmussen, Lars K.
PY - 2013/12/19
Y1 - 2013/12/19
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84890343807&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2013.6620264
DO - 10.1109/ISIT.2013.6620264
M3 - Conference article in proceedings
AN - SCOPUS:84890343807
SN - 978-1-4799-0446-4
T3 - IEEE International Symposium on Information Theory. Proceedings
SP - 439
EP - 443
BT - 2013 IEEE International Symposium on Information Theory, ISIT 2013
PB - IEEE Institute of Electrical and Electronic Engineers
ER -