On the asymptotic sum-rate of the relay-assisted amplify-and-forward cognitive MIMO channel

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

doi:10.1109/PIMRC.2012.6362876

On the asymptotic sum-rate of the relay-assisted amplify-and-forward cognitive MIMO channel

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

^*Corresponding author for this work

Not published at VTT

KTH Royal Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

Abstract

This paper studies the asymptotic sum-rate of the primary network within the relay-assisted multi-antenna cognitive radio system performing amplify-and-forward relaying. The achievable sum-rates are derived in the large-system limit by means of the replica method. A closed-form expression for the sum-rate of the primary network is obtained for large antenna arrays as a function of parameters obtained by solving a set of fixed-point equations. Numerical simulations confirm the validity of the results even for systems with only a few antennas at each terminal.

Original language	English
Title of host publication	2012 IEEE 23rd International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC 2012
Publisher	IEEE Institute of Electrical and Electronic Engineers
Pages	709-714
ISBN (Electronic)	978-1-4673-2568-4, 978-1-4673-2569-1
ISBN (Print)	978-1-4673-2566-0
DOIs	https://doi.org/10.1109/PIMRC.2012.6362876
Publication status	Published - 1 Dec 2012
MoE publication type	A4 Article in a conference publication
Event	23rd IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC 2012 - Sydney, Australia Duration: 9 Sept 2012 → 12 Sept 2012 Conference number: 23

Publication series

Series	IEEE International Symposium on Personal, Indoor, and Mobile Radio Communications Workshops
ISSN	2166-9570

Conference

Conference	23rd IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC 2012
Abbreviated title	PIMRC
Country/Territory	Australia
City	Sydney
Period	9/09/12 → 12/09/12

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10.1109/PIMRC.2012.6362876

Cite this

Girnyk, M. A., Vehkaperä, M., & Rasmussen, L. K. (2012). On the asymptotic sum-rate of the relay-assisted amplify-and-forward cognitive MIMO channel. In 2012 IEEE 23rd International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC 2012 (pp. 709-714). Article 6362876 IEEE Institute of Electrical and Electronic Engineers. https://doi.org/10.1109/PIMRC.2012.6362876

Girnyk, Maksym A. ; Vehkaperä, Mikko ; Rasmussen, Lars K. / On the asymptotic sum-rate of the relay-assisted amplify-and-forward cognitive MIMO channel. 2012 IEEE 23rd International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC 2012. IEEE Institute of Electrical and Electronic Engineers, 2012. pp. 709-714 (IEEE International Symposium on Personal, Indoor, and Mobile Radio Communications Workshops).

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title = "On the asymptotic sum-rate of the relay-assisted amplify-and-forward cognitive MIMO channel",

abstract = "This paper studies the asymptotic sum-rate of the primary network within the relay-assisted multi-antenna cognitive radio system performing amplify-and-forward relaying. The achievable sum-rates are derived in the large-system limit by means of the replica method. A closed-form expression for the sum-rate of the primary network is obtained for large antenna arrays as a function of parameters obtained by solving a set of fixed-point equations. Numerical simulations confirm the validity of the results even for systems with only a few antennas at each terminal.",

author = "Girnyk, \{Maksym A.\} and Mikko Vehkaper{\"a} and Rasmussen, \{Lars K.\}",

year = "2012",

month = dec,

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doi = "10.1109/PIMRC.2012.6362876",

language = "English",

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series = "IEEE International Symposium on Personal, Indoor, and Mobile Radio Communications Workshops",

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pages = "709--714",

booktitle = "2012 IEEE 23rd International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC 2012",

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note = "23rd IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC 2012, PIMRC ; Conference date: 09-09-2012 Through 12-09-2012",

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Girnyk, MA, Vehkaperä, M & Rasmussen, LK 2012, On the asymptotic sum-rate of the relay-assisted amplify-and-forward cognitive MIMO channel. in 2012 IEEE 23rd International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC 2012., 6362876, IEEE Institute of Electrical and Electronic Engineers, IEEE International Symposium on Personal, Indoor, and Mobile Radio Communications Workshops, pp. 709-714, 23rd IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC 2012, Sydney, New South Wales, Australia, 9/09/12. https://doi.org/10.1109/PIMRC.2012.6362876

On the asymptotic sum-rate of the relay-assisted amplify-and-forward cognitive MIMO channel. / Girnyk, Maksym A.; Vehkaperä, Mikko; Rasmussen, Lars K.
2012 IEEE 23rd International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC 2012. IEEE Institute of Electrical and Electronic Engineers, 2012. p. 709-714 6362876 (IEEE International Symposium on Personal, Indoor, and Mobile Radio Communications Workshops).

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

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AU - Vehkaperä, Mikko

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PY - 2012/12/1

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N2 - This paper studies the asymptotic sum-rate of the primary network within the relay-assisted multi-antenna cognitive radio system performing amplify-and-forward relaying. The achievable sum-rates are derived in the large-system limit by means of the replica method. A closed-form expression for the sum-rate of the primary network is obtained for large antenna arrays as a function of parameters obtained by solving a set of fixed-point equations. Numerical simulations confirm the validity of the results even for systems with only a few antennas at each terminal.

AB - This paper studies the asymptotic sum-rate of the primary network within the relay-assisted multi-antenna cognitive radio system performing amplify-and-forward relaying. The achievable sum-rates are derived in the large-system limit by means of the replica method. A closed-form expression for the sum-rate of the primary network is obtained for large antenna arrays as a function of parameters obtained by solving a set of fixed-point equations. Numerical simulations confirm the validity of the results even for systems with only a few antennas at each terminal.

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Girnyk MA, Vehkaperä M, Rasmussen LK. On the asymptotic sum-rate of the relay-assisted amplify-and-forward cognitive MIMO channel. In 2012 IEEE 23rd International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC 2012. IEEE Institute of Electrical and Electronic Engineers. 2012. p. 709-714. 6362876. (IEEE International Symposium on Personal, Indoor, and Mobile Radio Communications Workshops). doi: 10.1109/PIMRC.2012.6362876

On the asymptotic sum-rate of the relay-assisted amplify-and-forward cognitive MIMO channel

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