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IEEE International Conference on Communications workshops

Secrecy outage performance of MISO wiretap channels with outdated CSI

Nuwan S. Ferdinand, Daniel Benevides da Costa, André L. F. de Almeida, Matti Latva‐aho

Published Jun 1, 2014• 9 citations
Publisher

Abstract

In this paper, the secrecy outage performance of a multiple-input single-output (MISO) wiretap channel is investigated. Different from previous works, we assume that the legitimate transmitter employs maximal-ratio transmission (MRT) beamforming scheme with outdated channel state information (CSI) of the main channel. A closed-form expression for the secrecy outage probability is derived, from which an asymptotic secrecy analysis is carried out. Furthermore, a closed-form expression for the probability of non-zero secrecy rate is derived. Our results are corroborated by Monte Carlo simulations and show that full diversity gain cannot be realized in the presence of outdated CSI. In addition, the MRT scheme is analytically compared with a transmit antenna selection scheme and the secrecy outage improvement is quantified.

DOI
10.1109/iccw.2014.6881296

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•May 1, 2016•2 citations
In this paper, the secrecy outage performance of a multiple-input single-output (MISO) wiretap channel is investigated. Different from previous works, we assume that the legitimate transmitter employs maximal-ratio transmission (MRT) beamforming scheme with outdated channel state information (CSI) of the main channel. A closed-form expression for the secrecy outage probability is derived, from which an asymptotic secrecy analysis is carried out. Furthermore, a closed-form expression for the probability of non-zero secrecy rate is derived. Our results are corroborated by Monte Carlo simulations and show that full diversity gain cannot be realized in the presence of outdated CSI. In addition, the MRT scheme is analytically compared with a transmit antenna selection scheme and the secrecy outage improvement is quantified.
Multiple antennas at the transmitter enhance the diversity performance of multiple-input single-output (MISO) wiretap channels by selecting a single antenna that maximizes the instantaneous signal-to-noise ratio (SNR) at the intended receiver. However, the expected diversity performance may not be fully realized when channel state information (CSI) is outdated at the transmitter. Owing to this fact, in this letter we analyze the effects of outdated CSI on the secrecy outage performance of MISO wiretap channels with transmit antenna selection. More specifically, assuming Nakagami-m fading, a closed-form expression for the exact secrecy outage probability is derived, from which an asymptotic analysis is carried out. Our asymptotic results reveal that the expected diversity gain cannot be realized when CSI is outdated during the antenna selection process. The validity of our formulations is corroborated by Monte Carlo simulations.
We analyze the impact of outdated CSI on the security performance in multi-input multi-output (MIMO) system, where the transmitter uses maximal-ratio transmission (MRT) and the receiver uses receive antenna selection (RAS). In our analysis, new closed-form expressions for the probability of the existence of a nonzero secrecy capacity and the secrecy outage probability are derived. Then, based on the exact expressions, we derive the asymptotic secrecy outage probability. These conclusions demonstrate that under the impact of the outdated CSI, the secrecy array gain suffered from some loss, while the receive diversity order is reduced to one and the transmit diversity order is not affected. Theoretical analysis is verified by our simulation results.
In this paper, we propose general-order transmit antenna selection to enhance the secrecy performance of multiple-input-multiple-output multieavesdropper channels with outdated channel state information (CSI) at the transmitter. To evaluate the effect of the outdated CSI on the secure transmission of the system, we investigate the secrecy performance for two practical scenarios, i.e., Scenarios I and II, where the eavesdropper's CSI is not available at the transmitter and is available at the transmitter, respectively. For Scenario I, we derive exact and asymptotic closed-form expressions for the secrecy outage probability in Nakagami-m fading channels. In addition, we also derive the probability of nonzero secrecy capacity and the ε-outage secrecy capacity, respectively. Simple asymptotic expressions for the secrecy outage probability reveal that the secrecy diversity order is reduced when the CSI is outdated at the transmitter, and it is independent of the number of antennas at each eavesdropper NE, the fading parameter of the eavesdropper's channel mE, and the number of eavesdroppers M. For Scenario II, we make a comprehensive analysis of the average secrecy capacity obtained by the system. Specifically, new closed-form expressions for the exact and asymptotic average secrecy capacity are derived, which are valid for general systems with an arbitrary number of antennas, number of eavesdroppers, and fading severity parameters. Resorting to these results, we also determine a high signal-to-noise ratio power offset to explicitly quantify the impact of the main channel and the eavesdropper's channel on the average secrecy capacity.
In this letter, we analyze the impacts of outdated channel state information (CSI) on the secrecy performance for multiple-input single-output multiple-eavesdropper (MISOME) systems using transmit antenna selection (TAS) scheme and derive the exact closed-form expressions for the secrecy outage probability and the probability of non-zero secrecy capacity. Then, we present the asymptotic secrecy outage probability which reveals the secrecy diversity order and the secrecy array gain. The analysis and simulation results show that the security performance of TAS scheme is quite sensitive to outdated CSI and the achievable secrecy diversity order is only one under the effect of outdated CSI.
This paper investigates the secrecy performance of multiple-input single-output (MISO) wiretap channels with transmit antenna selection (TAS) and subject to an interference-limited eavesdropper. By considering NAantennas at the transmitter, a single antenna at the legitimate receiver and eavesdropper, and multiple arbitrary co-channel interferers M at the eavesdropper, an exact closed-form expression for the secrecy outage probability is derived. The exact expression is simplified for two, yet novel, special cases. Based on these analytical expressions, an asymptotic secrecy outage analysis is carried out and it shows that the diversity order of the considered system equals to min(NA, M). The proposed analysis is corroborated through Monte Carlo simulation results. Illustrative numerical examples are depicted and insightful discussions are drawn. It is shown that the secrecy outage performance is largely limited by the number of interference channels and the number of transmit antennas due to diversity gain.
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.