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Journal of Information and Computational Science

Secrecy Performance of TAS in MIMOME System with Outdated CSI

Jianwei Hu

Published Sep 1, 2014• 0 citations
Publisher

Abstract

We analyze the impact of outdated Channel State Information (CSI) on the secrecy performance of Multi-input, Multi-output, Multi-eavesdropper (MIMOME) system over Nakagami-m fading channels, where Transmit Antenna Selection (TAS) is used at the transmitter and Maximal-ratio Combination (MRC) is used at the desired receiver and the eavesdropper. In our analysis, new closed-form expressions for the probability of the existence of positive secrecy capacity and the secrecy outage probability are derived. We also derive the asymptotic secrecy outage probability, in which the secrecy diversity order and the secrecy array gain are revealed. Furthermore, the -outage secrecy capacity is characterized. Our results demonstrate that due to the outdated CSI, the secrecy performance sufiers from great loss, and the transmit diversity order is reduced to one, while the receive diversity order is not afiected.

DOI
10.12733/jics20104366

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We analyze the impact of outdated Channel State Information (CSI) on the secrecy performance of Multi-input, Multi-output, Multi-eavesdropper (MIMOME) system over Nakagami-m fading channels, where Transmit Antenna Selection (TAS) is used at the transmitter and Maximal-ratio Combination (MRC) is used at the desired receiver and the eavesdropper. In our analysis, new closed-form expressions for the probability of the existence of positive secrecy capacity and the secrecy outage probability are derived. We also derive the asymptotic secrecy outage probability, in which the secrecy diversity order and the secrecy array gain are revealed. Furthermore, the -outage secrecy capacity is characterized. Our results demonstrate that due to the outdated CSI, the secrecy performance sufiers from great loss, and the transmit diversity order is reduced to one, while the receive diversity order is not afiected.
In this letter, we analyze the impacts of outdated channel state information (CSI) on the secrecy performance for multiple-input single-output multiple-eavesdropper (MISOME) systems using transmit antenna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 secure cooperative transmissions in a dual-hop MIMO relay system using a combined transmit antenna selection (TAS) and maximal-ratio combining (MRC) scheme over the Nakagami-m fading channels, where an adaptive decode-and-forward relaying protocol and an multi-antenna eavesdropper are considered. Due to the feedback delay, channel state information (CSI) for TAS might be outdated at both the source and the relay. To evaluate the secrecy performance of the TAS/MRC scheme and the impacts of outdated CSI, the closed-form expressions for the metrics of exact ergodic secrecy rate and exact secrecy outage probability are derived under both perfect and outdated CSI conditions in a channel feedback error model. In order to explicitly reveal the behaviors of the secrecy performance in high signal-to-noise ratio regime, asymptotic expressions for both the metrics are further derived. As validated by simulation results, analytically numerical results demonstrate that outdated the CSI always results in a loss in the secrecy performance, but the loss can be recovered by increasing the number of antennas at legitimate receivers. Furthermore, the outdated CSI yields a reduced secrecy diversity order, whereas only the perfect CSI leads to the full secrecy diversity order.
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.
We propose a new secure transmission scheme in the multi-input multi-output multi-eavesdropper wiretap channel. In this channel, the NA-antenna transmitter adopts transmit antenna selection (TAS) to choose the antenna that maximizes the instantaneous signal-to-noise ratio (SNR) at the receiver to transmit, while the NB-antenna receiver and the NE-antenna eavesdropper adopt maximal-ratio combining (MRC) to combine the received signals. We focus on the practical scenario where the channel state information (CSI) during the TAS process is outdated. In this scenario, we propose a new transmission scheme to prevent the detrimental effect of the outdated CSI on the wiretap codes design at the transmitter. To thoroughly assess the secrecy performance achieved by the proposed scheme, we derive new closed-form expressions for the exact secrecy outage probability and the probability of non-zero secrecy capacity for arbitrary SNRs. We also derive new compact expressions for the asymptotic secrecy outage probability at high SNRs. Notably, in the analysis, we take spatial correlation at the receiver into consideration. Apart from the advantage of our scheme over the conventional TAS/MRC scheme, we demonstrate that the outdated TAS reduces the secrecy diversity order from NANBto NB. We also demonstrate that antenna correlation improves the secrecy performance at low SNR but deteriorates the secrecy performance at medium and high SNRs, by affecting the secrecy array gain only.
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.