Large-system analysis of MIMO wire-tap channels with randomly located eavesdroppers

Maksym A. Girnyk; Frédéric Gabry; Mikko Vehkaperä; Lars K. Rasmussen; Mikael Skoglund

Large-system analysis of MIMO wire-tap channels with randomly located eavesdroppers

Maksym A. Girnyk, Frédéric Gabry, Mikko Vehkaperä, Lars K. Rasmussen, Mikael Skoglund

Not published at VTT

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

2 Citations (Scopus)

Abstract

Wireless security has become a subject of growing interest in wireless communications due to the broadcast nature of wireless channels. In the present paper, we consider a multiantenna wire-tap channel with randomly distributed eavesdroppers. In the fast fading environment, the overall performance of such channel is characterized by the ergodic secrecy capacity, which, in general, cannot be characterized explicitly. Nevertheless, based on the assumption that the numbers of antennas at legitimate terminals and the number of eavesdroppers grow large without bound, we derive a deterministic approximation for the achievable ergodic secrecy rate. The obtained large-system approximation matches well with the actual simulated secrecy rates, revealing some interesting behavior of the secrecy rates in the given scenario.

Original language	English
Title of host publication	10th International Symposium on Wireless Communication Systems 2013, ISWCS
Publisher	IEEE Institute of Electrical and Electronic Engineers
Pages	380-384
ISBN (Print)	978-3-8007-3529-7
Publication status	Published - 1 Jan 2013
MoE publication type	A4 Article in a conference publication
Event	10th IEEE International Symposium on Wireless Communication Systems 2013, ISWCS 2013 - Ilmenau, Germany Duration: 27 Aug 2013 → 30 Aug 2013

Publication series

Series	International Symposium on Wireless Communication Systems
Volume	10
ISSN	2154-0217

Conference

Conference	10th IEEE International Symposium on Wireless Communication Systems 2013, ISWCS 2013
Country	Germany
City	Ilmenau
Period	27/08/13 → 30/08/13

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Girnyk, M. A., Gabry, F., Vehkaperä, M., Rasmussen, L. K., & Skoglund, M. (2013). Large-system analysis of MIMO wire-tap channels with randomly located eavesdroppers. In 10th International Symposium on Wireless Communication Systems 2013, ISWCS (pp. 380-384). IEEE Institute of Electrical and Electronic Engineers. International Symposium on Wireless Communication Systems, Vol.. 10 https://ieeexplore.ieee.org/abstract/document/6629761

Girnyk, Maksym A. ; Gabry, Frédéric ; Vehkaperä, Mikko ; Rasmussen, Lars K. ; Skoglund, Mikael. / Large-system analysis of MIMO wire-tap channels with randomly located eavesdroppers. 10th International Symposium on Wireless Communication Systems 2013, ISWCS. IEEE Institute of Electrical and Electronic Engineers, 2013. pp. 380-384 (International Symposium on Wireless Communication Systems, Vol. 10).

@inproceedings{5fc361802394460bb2a44e0773e1aea2,

title = "Large-system analysis of MIMO wire-tap channels with randomly located eavesdroppers",

abstract = "Wireless security has become a subject of growing interest in wireless communications due to the broadcast nature of wireless channels. In the present paper, we consider a multiantenna wire-tap channel with randomly distributed eavesdroppers. In the fast fading environment, the overall performance of such channel is characterized by the ergodic secrecy capacity, which, in general, cannot be characterized explicitly. Nevertheless, based on the assumption that the numbers of antennas at legitimate terminals and the number of eavesdroppers grow large without bound, we derive a deterministic approximation for the achievable ergodic secrecy rate. The obtained large-system approximation matches well with the actual simulated secrecy rates, revealing some interesting behavior of the secrecy rates in the given scenario.",

author = "Girnyk, {Maksym A.} and Fr{\'e}d{\'e}ric Gabry and Mikko Vehkaper{\"a} and Rasmussen, {Lars K.} and Mikael Skoglund",

year = "2013",

month = jan,

day = "1",

language = "English",

isbn = "978-3-8007-3529-7",

series = "International Symposium on Wireless Communication Systems",

publisher = "IEEE Institute of Electrical and Electronic Engineers",

pages = "380--384",

booktitle = "10th International Symposium on Wireless Communication Systems 2013, ISWCS",

address = "United States",

note = "10th IEEE International Symposium on Wireless Communication Systems 2013, ISWCS 2013 ; Conference date: 27-08-2013 Through 30-08-2013",

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Girnyk, MA, Gabry, F, Vehkaperä, M, Rasmussen, LK & Skoglund, M 2013, Large-system analysis of MIMO wire-tap channels with randomly located eavesdroppers. in 10th International Symposium on Wireless Communication Systems 2013, ISWCS. IEEE Institute of Electrical and Electronic Engineers, International Symposium on Wireless Communication Systems, vol. 10, pp. 380-384, 10th IEEE International Symposium on Wireless Communication Systems 2013, ISWCS 2013, Ilmenau, Germany, 27/08/13. <https://ieeexplore.ieee.org/abstract/document/6629761>

Large-system analysis of MIMO wire-tap channels with randomly located eavesdroppers. / Girnyk, Maksym A.; Gabry, Frédéric; Vehkaperä, Mikko; Rasmussen, Lars K.; Skoglund, Mikael.

10th International Symposium on Wireless Communication Systems 2013, ISWCS. IEEE Institute of Electrical and Electronic Engineers, 2013. p. 380-384 (International Symposium on Wireless Communication Systems, Vol. 10).

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

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T1 - Large-system analysis of MIMO wire-tap channels with randomly located eavesdroppers

AU - Girnyk, Maksym A.

AU - Gabry, Frédéric

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AU - Skoglund, Mikael

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N2 - Wireless security has become a subject of growing interest in wireless communications due to the broadcast nature of wireless channels. In the present paper, we consider a multiantenna wire-tap channel with randomly distributed eavesdroppers. In the fast fading environment, the overall performance of such channel is characterized by the ergodic secrecy capacity, which, in general, cannot be characterized explicitly. Nevertheless, based on the assumption that the numbers of antennas at legitimate terminals and the number of eavesdroppers grow large without bound, we derive a deterministic approximation for the achievable ergodic secrecy rate. The obtained large-system approximation matches well with the actual simulated secrecy rates, revealing some interesting behavior of the secrecy rates in the given scenario.

AB - Wireless security has become a subject of growing interest in wireless communications due to the broadcast nature of wireless channels. In the present paper, we consider a multiantenna wire-tap channel with randomly distributed eavesdroppers. In the fast fading environment, the overall performance of such channel is characterized by the ergodic secrecy capacity, which, in general, cannot be characterized explicitly. Nevertheless, based on the assumption that the numbers of antennas at legitimate terminals and the number of eavesdroppers grow large without bound, we derive a deterministic approximation for the achievable ergodic secrecy rate. The obtained large-system approximation matches well with the actual simulated secrecy rates, revealing some interesting behavior of the secrecy rates in the given scenario.

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