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IEEE Transactions on Vehicular Technology

Physical Layer Security for TAS/MRC Systems With and Without Co-Channel Interference Over $\eta$ – $\mu$ Fading Channels

Liang Yang, Mazen O. Hasna, Imran Shafique Ansari

Published Nov 15, 2018• 43 citations
Publisher

Abstract

In this paper, the secrecy performance of transmit antenna selection/maximal ratio combining systems in the absence and presence of co-channel interference (CCI) over η-μ fading channels is considered. In particular, closed-form expressions for the secrecy performance are derived. To investigate the secrecy diversity gain, we also provide asymptotic secrecy outage analysis. Results show that the achievable secrecy diversity gain is 2μNT ND regardless of the number antennas of the eavesdropper NE, where NT and ND are the number antennas of the legitimate transmitter and receiver, respectively. Furthermore, it shows that the asymptotic secrecy performance is only dependent on the ratio γE /γD for both the systems with and without CCIs, regardless of the values of PI, where PI is the power of the interference. Finally, we provide some numerical examples to illustrate the presented analytical expressions.

DOI
10.1109/tvt.2018.2876915

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Physical Layer Security for TAS/MRC Systems With and Without Co-Channel Interference Over η\etaη – μ\muμ Fading Channels
In this paper, the secrecy performance of transmit antenna selection/maximal ratio combining systems in the absence and presence of co-channel interference (CCI) over η-μ fading channels is considered. In particular, closed-form expressions for the secrecy performance are derived. To investigate the secrecy diversity gain, we also provide asymptotic secrecy outage analysis. Results show that the achievable secrecy diversity gain is 2μNT ND regardless of the number antennas of the eavesdropper NE, where NT and ND are the number antennas of the legitimate transmitter and receiver, respectively. Furthermore, it shows that the asymptotic secrecy performance is only dependent on the ratio γE /γD for both the systems with and without CCIs, regardless of the values of PI, where PI is the power of the interference. Finally, we provide some numerical examples to illustrate the presented analytical expressions.
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.
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.
In this paper, the joint effect of fading and co-channel interference on the secrecy performance of a wireless communications system is studied. Considering a practical setting where a transmitter (Alice) communicates with a multi-antenna legitimate receiver (Bob) in the presence of a multi-antenna eavesdropper (Eve), we study the secrecy performance of the proposed system when maximal ratio combining is employed. The probability density function and cumulative distribution function of the output signal-plus-interference-to-noise ratio are derived. Given these formulations, we derive a novel analytical expression for the exact intercept probability, which takes into account the number of interfering signals and the fading characteristics of the wireless environment. In addition, we provide a comprehensive diversity analysis, where we derive simple asymptotic intercept probability expressions and explicitly show the impact of system parameters on the diversity order and secrecy coding gain. Throughout the asymptotic analysis, we consider various scenarios based on the interfernece-to-noise ratios at the legitimate receiver and the eavesdropper, as well as the average signal-to-noise ratio of the eavesdropper and examine their impact on the physical layer security of the wireless system. Finally, Monte-Carlo simulations are conducted to assess our proposed analysis.
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.
Abstract Transmit antenna selection (TAS) in wiretap channels has arisen as a simple promising scheme to improve physical layer security. However, up to now, TAS schemes have aimed at maximising the instantaneous signal‐to‐noise ratio of the legitimate receiver, which by its essence is a sub‐optimal strategy from a secrecy point of view. In this paper, unlike previous works, we propose a novel TAS scheme for multiple‐input multiple‐output wiretap channels by exploiting full channel state information. The proposed scheme achieves higher secrecy performance by selecting an antenna that maximises the secrecy rate. In our analysis, we assume that the receiver (Rx) and the eavesdropper employ either selection combining (SC) or maximal‐ratio combining (MRC) to combine the received signals, and this results in four different receiver combining arrangements. By considering Nakagami‐m fading, secrecy performance is analysed. Specifically, closed‐form expressions for the secrecy outage probability are derived, which can be used as a quality of service metric. Moreover, an asymptotic analysis is carried out and the respective diversity/array gains are obtained. The ergodic secrecy rate is also investigated for the case of multiple‐input single‐output wiretap channels. Insightful discussions are attained from our analysis. For instance, it is shown that the performance gain of MRC over SC at the Rx does not depend on the number of antennas and combining scheme at the eavesdropper. More interestingly, we observe that such a performance gain is independent of the TAS scheme used at the transmitter (Tx). On the other hand, it is shown that the secrecy gap between SC and MRC at the eavesdropper is independent of the number of antennas at the Tx, but it depends on the number of antennas at the Rx. Finally, it is demonstrated that the diversity gain is the same for all antenna configurations. Copyright © 2016 John Wiley & Sons, Ltd.
We introduce an opportunistic scheduling to enhance the physical layer security with transmit antenna selection (TAS) in multiuser environment. We consider a wireless communication system composed of a single transmitter and multiple legitimate users in the presence of several eavesdroppers with each node having multiple antennas under quasi-static Rayleigh fading channel. The transmitter selects the best transmitting antenna and the best user to maximize signal-to-noise ratio (SNR) at the selected user. The user and eavesdropper can employ either selection combining (SC) or maximal ratio combining (MRC) to combine the received signals. New closed-form expressions for probability of positive secrecy and outage are derived. Moreover, asymptotic analysis reveals the outage diversity gain and array gain for the proposed scheme. The impact of number of users, eavesdroppers, and antennas on secrecy performance are clearly demonstrated with mathematical analysis and numerical results.