© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

Anais de XXXV Simpósio Brasileiro de Telecomunicações e Processamento de Sinais

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

Daniel Benevides da Costa, Nuwan S. Ferdinand, Ugo Silva Dias, R Jr., Matti Latva‐aho

Published Jan 1, 2015• 1 citation

Abstract

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.

DOI: 10.14209/sbrt.2015.175

Related papers

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

MISO TAS wiretap channels with jamming and noise at the eavesdropper

Yosbel R. Ortega, Nuwan S. Ferdinand, Daniel Benevides da Costa +2 more

In this paper, the secrecy outage performance of multiple-input single-output (MISO) wiretap channels with transmit antenna selection (TAS) at the transmitter (Tx) is investigated assuming that the eavesdropper is affected by multiple interferers M and noise. An exact closed-form expression for the secrecy outage probability is derived, and simplified for two special cases (i.e., distinct power distributed and equal power distributed jamming signals). Based on the attained results, an asymptotic secrecy analysis is carried out, which shows that the diversity order of the considered system equals to NA, with NA being the number of antennas at the Tx. Although previous works have shown that the diversity gain is impacted by both NA and M when an interference-limited eavesdropper scenario is considered, our results reveal that assuming multiple interferers and noise at the eavesdropper, the diversity gain equals to NA so that the number of jamming signals does not affect anymore the diversity gain. The proposed analysis is corroborated through Monte Carlo simulation results.

•May 1, 2016•2 citations

Joint effect of jamming and noise in wiretap channels with multiple antennas

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

In this paper, the joint effect of multiple jamming signals and noise at the eavesdropper in wiretap channels is studied in terms of the secrecy outage probability, where all nodes are deployed with multiple antennas. Specifically, the transmitter employs a transmit antenna selection (TAS) technique; the legitimate receiver uses either a selection combining (SC) or a maximal-ratio combining (MRC) scheme; and the eavesdropper adopts the MRC technique. Exact closed-form expressions for the secrecy outage probability are derived for both SC and MRC schemes at the legitimate receiver, which are applicable for arbitrary number of power distributed jamming signals. An asymptotic secrecy outage analysis is conducted, which shows that the diversity gains for all combining schemes equal to the product of the number of antennas at the transmitter and the legitimate receiver. Representative numerical examples are presented to illustrate the effects of the key system parameters on the secrecy outage performance. Finally, the proposed analysis is validated through Monte Carlo simulation results.

International Wireless Communications and Mobile Computing Conference (IWCMC)•Jun 1, 2017•7 citations

PHY Security of MIMO Wiretap Channels with Generalized Selection Combining

Lucas Vasconcelos, Yosbel R. Ortega, Daniel Benevides da Costa +2 more

This paper investigates the secrecy outage performance of multiple-input multiple-output (MIMO) wiretap channels, where a generalized selection combining (GSC) scheme is assumed at the legitimate receiver, while the transmitter employs a transmit antenna selection (TAS) technique and the eavesdropper adopts a maximal-ratio combining (MRC) scheme.Assuming that the eavesdropper is subject to noise and jamming, a closed-form expression for the secrecy outage probability is derived, based on which the diversity and array gains are determined after performing an asymptotic analysis.The derived expression allows for arbitrary power distributed jamming signals, and are simplified to two special cases, i.e., distinct and equal power distributed jamming signals.Some representative numerical results are depicted to show the effects of the key system parameters on the secrecy performance.Finally, the proposed analysis is corroborated through Monte Carlo simulations.

Anais de XXXV Simpósio Brasileiro de Telecomunicações e Processamento de Sinais•Jan 1, 2016•0 citations

Enhancing the secrecy performance in MIMO wiretap channels: A novel transmit antenna selection scheme

Nuwan S. Ferdinand, Daniel Benevides da Costa, Matti Latva‐aho

In this paper, a novel transmit antenna selection scheme for multiple input multiple output (MIMO) wiretap channels is proposed. This new scheme achieves higher secrecy performance by exploiting eavesdropper's channel state information. The key idea behind our proposal is to perform the antenna selection aiming to maximize the overall secrecy rate instead of maximizing the instantaneous signal-to-noise ratio of the main channel. In our analysis, we assume that the legitimate receiver and the eavesdropper employ a maximal-ratio combining technique to combine the received signals from the transmitter. Considering Nakagami-m fading channels, a closed-form expression for the secrecy outage probability is derived, which can be used as a quality of service metric. Further, an asymptotic analysis is carried out and the diversity/array gains are obtained. The ergodic secrecy rate is also investigated for the case of multiple input single output wiretap channels. Representative numerical examples are plotted and validated through Monte Carlo simulations. Insightful discussions are drawn from the proposed analysis.

IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC)•Sep 1, 2013•1 citation

Secure transmission via transmit antenna selection in MIMO wiretap channels

Nan Yang, Phee Lep Yeoh, Maged Elkashlan +2 more

We propose and analyze transmit antenna selection (TAS) to enhance physical layer security in a wiretap channel with multiple antennas at the transmitter, the receiver, and the eavesdropper. We consider the practical scenario of passive eavesdropping, where the transmitter does not have any channel state information (CSI) of the eavesdropper's channel. In the main channel between the transmitter and the receiver, we select a single antenna at the transmitter that maximizes the instantaneous signal-to-noise ratio (SNR) at the receiver. At the receiver and the eavesdropper, we consider two combining techniques: 1) maximal-ratio combining (MRC) and 2) selection combining (SC). For non-identical Rayleigh fading between the main channel and the eavesdropper's channel, we first derive new closed-form expressions for the exact and asymptotic secrecy outage probabilities. The asymptotic results accurately reveal the secrecy diversity order and the secrecy array gain. Next, we derive new closed-form expressions for the probability of positive secrecy and characterize the ε-outage secrecy capacity. We show that, under TAS/MRC and TAS/SC protocols, the secrecy outage probability approaches zero and the ε-outage secrecy capacity increases with increasing number of transmitter antennas.

Globecom•Dec 1, 2012•14 citations

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.

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.

In this paper, the secrecy outage performance of multiple-input single-output (MISO) wiretap channels with transmit antenna selection (TAS) at the transmitter (Tx) is investigated assuming that the eavesdropper is affected by multiple interferers M and noise. An exact closed-form expression for the secrecy outage probability is derived, and simplified for two special cases (i.e., distinct power distributed and equal power distributed jamming signals). Based on the attained results, an asymptotic secrecy analysis is carried out, which shows that the diversity order of the considered system equals to NA, with NA being the number of antennas at the Tx. Although previous works have shown that the diversity gain is impacted by both NA and M when an interference-limited eavesdropper scenario is considered, our results reveal that assuming multiple interferers and noise at the eavesdropper, the diversity gain equals to NA so that the number of jamming signals does not affect anymore the diversity gain. The proposed analysis is corroborated through Monte Carlo simulation results.

In this paper, the joint effect of multiple jamming signals and noise at the eavesdropper in wiretap channels is studied in terms of the secrecy outage probability, where all nodes are deployed with multiple antennas. Specifically, the transmitter employs a transmit antenna selection (TAS) technique; the legitimate receiver uses either a selection combining (SC) or a maximal-ratio combining (MRC) scheme; and the eavesdropper adopts the MRC technique. Exact closed-form expressions for the secrecy outage probability are derived for both SC and MRC schemes at the legitimate receiver, which are applicable for arbitrary number of power distributed jamming signals. An asymptotic secrecy outage analysis is conducted, which shows that the diversity gains for all combining schemes equal to the product of the number of antennas at the transmitter and the legitimate receiver. Representative numerical examples are presented to illustrate the effects of the key system parameters on the secrecy outage performance. Finally, the proposed analysis is validated through Monte Carlo simulation results.

This paper investigates the secrecy outage performance of multiple-input multiple-output (MIMO) wiretap channels, where a generalized selection combining (GSC) scheme is assumed at the legitimate receiver, while the transmitter employs a transmit antenna selection (TAS) technique and the eavesdropper adopts a maximal-ratio combining (MRC) scheme.Assuming that the eavesdropper is subject to noise and jamming, a closed-form expression for the secrecy outage probability is derived, based on which the diversity and array gains are determined after performing an asymptotic analysis.The derived expression allows for arbitrary power distributed jamming signals, and are simplified to two special cases, i.e., distinct and equal power distributed jamming signals.Some representative numerical results are depicted to show the effects of the key system parameters on the secrecy performance.Finally, the proposed analysis is corroborated through Monte Carlo simulations.

In this paper, a novel transmit antenna selection scheme for multiple input multiple output (MIMO) wiretap channels is proposed. This new scheme achieves higher secrecy performance by exploiting eavesdropper's channel state information. The key idea behind our proposal is to perform the antenna selection aiming to maximize the overall secrecy rate instead of maximizing the instantaneous signal-to-noise ratio of the main channel. In our analysis, we assume that the legitimate receiver and the eavesdropper employ a maximal-ratio combining technique to combine the received signals from the transmitter. Considering Nakagami-m fading channels, a closed-form expression for the secrecy outage probability is derived, which can be used as a quality of service metric. Further, an asymptotic analysis is carried out and the diversity/array gains are obtained. The ergodic secrecy rate is also investigated for the case of multiple input single output wiretap channels. Representative numerical examples are plotted and validated through Monte Carlo simulations. Insightful discussions are drawn from the proposed analysis.

We propose and analyze transmit antenna selection (TAS) to enhance physical layer security in a wiretap channel with multiple antennas at the transmitter, the receiver, and the eavesdropper. We consider the practical scenario of passive eavesdropping, where the transmitter does not have any channel state information (CSI) of the eavesdropper's channel. In the main channel between the transmitter and the receiver, we select a single antenna at the transmitter that maximizes the instantaneous signal-to-noise ratio (SNR) at the receiver. At the receiver and the eavesdropper, we consider two combining techniques: 1) maximal-ratio combining (MRC) and 2) selection combining (SC). For non-identical Rayleigh fading between the main channel and the eavesdropper's channel, we first derive new closed-form expressions for the exact and asymptotic secrecy outage probabilities. The asymptotic results accurately reveal the secrecy diversity order and the secrecy array gain. Next, we derive new closed-form expressions for the probability of positive secrecy and characterize the ε-outage secrecy capacity. We show that, under TAS/MRC and TAS/SC protocols, the secrecy outage probability approaches zero and the ε-outage secrecy capacity increases with increasing number of transmitter antennas.