Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Electronics Letters

Secrecy outage analysis of MU‐MIMO transmit antenna selection systems with arbitrary number of eavesdropping users

Yujia Hu, Xiaofeng Tao

Published May 1, 2015• 1 citation
Publisher

Abstract

The secrecy outage performance of multiuser multiple‐input–multiple‐output (MU‐MIMO) transmit antenna selection systems is analysed, where some of the users overhear transmissions as long as they are not scheduled currently. A general closed‐form expression of secrecy outage probability is derived by ordering the qualities of paths and calculating the joint probability density functions. Numerical results are provided to illustrate the different impacts of multiuser diversity and antenna diversity on the secrecy performance.

DOI
10.1049/el.2014.4145

Related papers

Secrecy Outage Analysis of Multiuser Diversity With Unequal Average SNR in Transmit Antenna Selection Systems

Yujia Hu, Xiaofeng Tao

This letter exploits multiuser diversity to enhance the physical layer security in transmit antenna selection systems. Since fading channels among different users are nonidentically distributed, new expressions of the exact and asymptotic secrecy outage probability are derived in an accumulate way. Also, an efficient closed-form derivation rather than a numerical root-finding is presented to evaluate the ε-outage secrecy capacity. Simulations are provided to verify our analysis and show that 1) the number of users has a great impact on secrecy performance; 2) the multiuser diversity should be exploited appropriately considering the statistics of the legitimate users and the eavesdropper.

IEEE Communications Letters•Jan 13, 2015•3 citations

MIMO Wiretap Channels with Multiple Jamming Signals: A Secrecy Outage Performance Analysis

Daniel Benevides da Costa, Nuwan S. Ferdinand, Ugo Silva Dias +2 more

In this paper, assuming an interference-limited eavesdropper scenario, the secrecy outage performance of multiple-input multiple-output wiretap channels with transmit antenna selection is investigated.Considering that the transmitter (Tx) and the receiver (Rx) are equipped with NA and NB antennas, respectively, while the passive eavesdropper is set with NE antennas, closed-form expressions for the secrecy outage probability and non-zero secrecy rate are derived.In our analysis, a selection combining (SC) scheme is employed at the Rx, while the eavesdropper uses a maximal-ratio combining (MRC) one.The derived outage expressions hold for arbitrary power distributed jamming signals.An asymptotic analysis is carried out to show the impact of the number of jamming signals and number of antennas on the secrecy outage performance.Interestingly, our results show that the diversity order equals to min(M, NANB), with M denoting the number of jamming signals.

Anais de XXXV Simpósio Brasileiro de Telecomunicações e Processamento de Sinais•Jan 1, 2015•1 citation

Secrecy Analysis of a TAS/MRC Scheme in $\alpha-\mu$ Fading Channels

Jules Merlin Moualeu, Daniel Benevides da Costa, F. Javier López‐Martínez +3 more

This paper investigates the secrecy performance of a multiple-input multiple-output (MIMO) system with transmit antenna selection (TAS) and maximal-ratio combining (MRC) over generalized α-μ fading. In the underlying wireless communication system, a single antenna is selected to transmit confidential messages to a multi-antenna receiver in the presence of a passive multi-antenna eavesdropper. In our analysis, new closed-form expressions are obtained for the secrecy outage probability (SOP) and the probability of strictly positive secrecy capacity (SPSC), and are subsequently corroborated through Monte Carlo simulations to assess their validity. Moreover, asymptotic studies of the secrecy outage probability are derived and explicitly show the effects of various system parameters on the secrecy diversity gain.

IEEE Wireless Communications and Networking Conference•Apr 1, 2019•10 citations

Secrecy analysis for selection among transmit antennas with unequal average SNR performance

Yujia Hu, Xiaofeng Tao

This paper presents a general analytical framework to evaluate the secrecy performance of transmit antenna selection (TAS) systems without requiring the identical average signal-to-noise ratios (SNRs) from different transmit antennas. Closed-form expressions of secrecy outage probability are derived in a multiple-input multiple-output (MIMO) wiretap channel. Moreover, a novel TAS scheme based on the limited feedback from both the receiver and the eavesdropper is proposed and analysed. With the additional consideration of the eavesdropper's channel, security is shown to be enhanced although the instantaneous channel state information (CSI) keeps unknown to the transmitter. Finally, numerical results substantiate the aforementioned analysis.

IEEE Wireless Communications and Networking Conference•Mar 1, 2015•0 citations

Secrecy Outage Performance of MIMO Wiretap Channels with Multiple Jamming Signals

Daniel Benevides da Costa, Nuwan S. Ferdinand, Ugo Silva Dias +2 more

In this paper, assuming an interference-limited eavesdropper scenario, the secrecy outage performance ofmultiple-input multiple-output wiretap channels with transmit antenna selection is investigated. Considering that the transmitter (Tx) and the receiver (Rx) are equipped with NA and NB antennas, respectively, while the passive eavesdropper is set with NE antennas, closed-form expressions for the secrecy outage probability and non-zerosecrecy rate are derived. In our analysis, both maximal-ratio combining (MRC) and selection combining (SC) are employed at the Rx, while the eavesdropper uses a MRC scheme. The derived outage expressions hold for arbitrary power distributed jamming signals and some of their special cases (i.e., distinct power distributed and equal power distributed jamming signals) are presented. An asymptotic analysis is carried out to show the impact of the number of jamming signals and number of antennas on the secrecy outage performance. Interestingly, our results show thatthe diversity order equals to min(M,NANB), with M denoting the number of jamming signals. This allows us to conclude that the number of jamming signals at the eavesdropper limits the secrecy performance via diversity such that a high number of antennas does not imply necessarily in a performance improvement, unless for a large number of jamming signals.

Journal of Communication and Information Systems•Jan 1, 2016•8 citations

Joint effect of jamming and noise on the secrecy outage performance of wiretap channels with feedback delay and multiple antennas

Yosbel R. Ortega, Prabhat K. Upadhyay, Daniel Benevides da Costa +4 more

Abstract In this paper, we investigate the secrecy performance of multiple‐input–multiple‐output wiretap channels with outdated channel state information (CSI) at the transmitter. The joint effect of multiple jamming signals and noise at the eavesdropper is studied assuming that the transmitter adopts a transmit antenna selection technique, while both the legitimate receiver and the eavesdropper use a maximal‐ratio combining scheme to achieve spatial diversity in reception. Exact closed‐form expressions for the nonzero secrecy rate probability and the secrecy outage probability for an arbitrary number of power distributed jamming signals are derived, by assuming both perfect and imperfect CSI. The general secrecy outage probability expressions are simplified for 2 special cases, ie, different and equal power distributed interferers. Furthermore, we conduct an asymptotic secrecy outage analysis at high signal‐to‐noise ratio, which reveals that the expected diversity gain cannot be realized for imperfect CSI and full diversity order can only be achieved under the perfect CSI condition. In addition, our results reveal that the number of antennas at the eavesdropper as well as the number of jamming signals do not affect the system diversity order. Simulation results are performed to illustrate the effects of imperfect feedback and other key system parameters on the secrecy performance. Finally, our analytical results are validated through Monte Carlo simulations.

Transactions on Emerging Telecommunications Technologies•May 12, 2017•9 citations
The secrecy outage performance of multiuser multiple‐input–multiple‐output (MU‐MIMO) transmit antenna selection systems is analysed, where some of the users overhear transmissions as long as they are not scheduled currently. A general closed‐form expression of secrecy outage probability is derived by ordering the qualities of paths and calculating the joint probability density functions. Numerical results are provided to illustrate the different impacts of multiuser diversity and antenna diversity on the secrecy performance.
This letter exploits multiuser diversity to enhance the physical layer security in transmit antenna selection systems. Since fading channels among different users are nonidentically distributed, new expressions of the exact and asymptotic secrecy outage probability are derived in an accumulate way. Also, an efficient closed-form derivation rather than a numerical root-finding is presented to evaluate the ε-outage secrecy capacity. Simulations are provided to verify our analysis and show that 1) the number of users has a great impact on secrecy performance; 2) the multiuser diversity should be exploited appropriately considering the statistics of the legitimate users and the eavesdropper.
In this paper, assuming an interference-limited eavesdropper scenario, the secrecy outage performance of multiple-input multiple-output wiretap channels with transmit antenna selection is investigated.Considering that the transmitter (Tx) and the receiver (Rx) are equipped with NA and NB antennas, respectively, while the passive eavesdropper is set with NE antennas, closed-form expressions for the secrecy outage probability and non-zero secrecy rate are derived.In our analysis, a selection combining (SC) scheme is employed at the Rx, while the eavesdropper uses a maximal-ratio combining (MRC) one.The derived outage expressions hold for arbitrary power distributed jamming signals.An asymptotic analysis is carried out to show the impact of the number of jamming signals and number of antennas on the secrecy outage performance.Interestingly, our results show that the diversity order equals to min(M, NANB), with M denoting the number of jamming signals.
Secrecy Analysis of a TAS/MRC Scheme in α−μ\alpha-\muα−μ Fading Channels
This paper investigates the secrecy performance of a multiple-input multiple-output (MIMO) system with transmit antenna selection (TAS) and maximal-ratio combining (MRC) over generalized α-μ fading. In the underlying wireless communication system, a single antenna is selected to transmit confidential messages to a multi-antenna receiver in the presence of a passive multi-antenna eavesdropper. In our analysis, new closed-form expressions are obtained for the secrecy outage probability (SOP) and the probability of strictly positive secrecy capacity (SPSC), and are subsequently corroborated through Monte Carlo simulations to assess their validity. Moreover, asymptotic studies of the secrecy outage probability are derived and explicitly show the effects of various system parameters on the secrecy diversity gain.
This paper presents a general analytical framework to evaluate the secrecy performance of transmit antenna selection (TAS) systems without requiring the identical average signal-to-noise ratios (SNRs) from different transmit antennas. Closed-form expressions of secrecy outage probability are derived in a multiple-input multiple-output (MIMO) wiretap channel. Moreover, a novel TAS scheme based on the limited feedback from both the receiver and the eavesdropper is proposed and analysed. With the additional consideration of the eavesdropper's channel, security is shown to be enhanced although the instantaneous channel state information (CSI) keeps unknown to the transmitter. Finally, numerical results substantiate the aforementioned analysis.
In this paper, assuming an interference-limited eavesdropper scenario, the secrecy outage performance ofmultiple-input multiple-output wiretap channels with transmit antenna selection is investigated. Considering that the transmitter (Tx) and the receiver (Rx) are equipped with NA and NB antennas, respectively, while the passive eavesdropper is set with NE antennas, closed-form expressions for the secrecy outage probability and non-zerosecrecy rate are derived. In our analysis, both maximal-ratio combining (MRC) and selection combining (SC) are employed at the Rx, while the eavesdropper uses a MRC scheme. The derived outage expressions hold for arbitrary power distributed jamming signals and some of their special cases (i.e., distinct power distributed and equal power distributed jamming signals) are presented. An asymptotic analysis is carried out to show the impact of the number of jamming signals and number of antennas on the secrecy outage performance. Interestingly, our results show thatthe diversity order equals to min(M,NANB), with M denoting the number of jamming signals. This allows us to conclude that the number of jamming signals at the eavesdropper limits the secrecy performance via diversity such that a high number of antennas does not imply necessarily in a performance improvement, unless for a large number of jamming signals.
Abstract In this paper, we investigate the secrecy performance of multiple‐input–multiple‐output wiretap channels with outdated channel state information (CSI) at the transmitter. The joint effect of multiple jamming signals and noise at the eavesdropper is studied assuming that the transmitter adopts a transmit antenna selection technique, while both the legitimate receiver and the eavesdropper use a maximal‐ratio combining scheme to achieve spatial diversity in reception. Exact closed‐form expressions for the nonzero secrecy rate probability and the secrecy outage probability for an arbitrary number of power distributed jamming signals are derived, by assuming both perfect and imperfect CSI. The general secrecy outage probability expressions are simplified for 2 special cases, ie, different and equal power distributed interferers. Furthermore, we conduct an asymptotic secrecy outage analysis at high signal‐to‐noise ratio, which reveals that the expected diversity gain cannot be realized for imperfect CSI and full diversity order can only be achieved under the perfect CSI condition. In addition, our results reveal that the number of antennas at the eavesdropper as well as the number of jamming signals do not affect the system diversity order. Simulation results are performed to illustrate the effects of imperfect feedback and other key system parameters on the secrecy performance. Finally, our analytical results are validated through Monte Carlo simulations.