On the transmit beamforming for MIMO wiretap channels: Large-system analysis

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

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

Abstract

With the growth of wireless networks, security has become a fundamental issue in wireless communications due to the broadcast nature of these networks. In this work, we consider MIMO wiretap channels in a fast fading environment, for which the overall performance is characterized by the ergodic MIMO secrecy rate. Unfortunately, the direct solution to finding ergodic secrecy rates is prohibitive due to the expectations in the rates expressions in this setting. To overcome this difficulty, we invoke the large-system assumption, which allows a deterministic approximation to the ergodic mutual information. Leveraging results from random matrix theory, we are able to characterize the achievable ergodic secrecy rates. Based on this characterization, we address the problem of covariance optimization at the transmitter. Our numerical results demonstrate a good match between the large-system approximation and the actual simulated secrecy rates, as well as some interesting features of the precoder optimization.
Original languageEnglish
Title of host publicationInformation Theoretic Security
Subtitle of host publicationICITS 2013
PublisherSpringer
Pages90-102
ISBN (Electronic)978-3-319-04268-8
ISBN (Print)978-3-319-04267-1
DOIs
Publication statusPublished - 1 Jan 2014
MoE publication typeA4 Article in a conference publication
Event7th International Conference on Information Theoretic Security, ICITS 2013 - Singapore, Singapore
Duration: 28 Nov 201330 Nov 2013

Publication series

SeriesLecture Notes in Computer Science
Volume8317
ISSN0302-9743

Conference

Conference7th International Conference on Information Theoretic Security, ICITS 2013
CountrySingapore
CitySingapore
Period28/11/1330/11/13

Fingerprint

Beamforming
Systems Analysis
MIMO systems
Multiple-input multiple-output (MIMO)
Systems analysis
Network security
Transmitters
Wireless networks
Optimization
Random Matrix Theory
Network Security
Communication
Approximation
Fading
Mutual Information
Wireless Communication
Transmitter
Broadcast
Wireless Networks
Numerical Results

Keywords

  • Beamforming
  • Large-system approximation
  • MIMO wiretap channel
  • Random matrix theory

Cite this

Girnyk, M. A., Gabry, F., Vehkaperä, M., Rasmussen, L. K., & Skoglund, M. (2014). On the transmit beamforming for MIMO wiretap channels: Large-system analysis. In Information Theoretic Security: ICITS 2013 (pp. 90-102). Springer. Lecture Notes in Computer Science, Vol.. 8317 https://doi.org/10.1007/978-3-319-04268-8_6
Girnyk, Maksym A. ; Gabry, Frédéric ; Vehkaperä, Mikko ; Rasmussen, Lars K. ; Skoglund, Mikael. / On the transmit beamforming for MIMO wiretap channels : Large-system analysis. Information Theoretic Security: ICITS 2013. Springer, 2014. pp. 90-102 (Lecture Notes in Computer Science, Vol. 8317).
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abstract = "With the growth of wireless networks, security has become a fundamental issue in wireless communications due to the broadcast nature of these networks. In this work, we consider MIMO wiretap channels in a fast fading environment, for which the overall performance is characterized by the ergodic MIMO secrecy rate. Unfortunately, the direct solution to finding ergodic secrecy rates is prohibitive due to the expectations in the rates expressions in this setting. To overcome this difficulty, we invoke the large-system assumption, which allows a deterministic approximation to the ergodic mutual information. Leveraging results from random matrix theory, we are able to characterize the achievable ergodic secrecy rates. Based on this characterization, we address the problem of covariance optimization at the transmitter. Our numerical results demonstrate a good match between the large-system approximation and the actual simulated secrecy rates, as well as some interesting features of the precoder optimization.",
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Girnyk, MA, Gabry, F, Vehkaperä, M, Rasmussen, LK & Skoglund, M 2014, On the transmit beamforming for MIMO wiretap channels: Large-system analysis. in Information Theoretic Security: ICITS 2013. Springer, Lecture Notes in Computer Science, vol. 8317, pp. 90-102, 7th International Conference on Information Theoretic Security, ICITS 2013, Singapore, Singapore, 28/11/13. https://doi.org/10.1007/978-3-319-04268-8_6

On the transmit beamforming for MIMO wiretap channels : Large-system analysis. / Girnyk, Maksym A.; Gabry, Frédéric; Vehkaperä, Mikko; Rasmussen, Lars K.; Skoglund, Mikael.

Information Theoretic Security: ICITS 2013. Springer, 2014. p. 90-102 (Lecture Notes in Computer Science, Vol. 8317).

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

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Girnyk MA, Gabry F, Vehkaperä M, Rasmussen LK, Skoglund M. On the transmit beamforming for MIMO wiretap channels: Large-system analysis. In Information Theoretic Security: ICITS 2013. Springer. 2014. p. 90-102. (Lecture Notes in Computer Science, Vol. 8317). https://doi.org/10.1007/978-3-319-04268-8_6