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IEEE Transactions on Information Forensics and Security

On Wireless Channels With ${M}$-Antenna Eavesdroppers: Characterization of the Outage Probability and $\varepsilon $-Outage Secrecy Capacity

Vinay Uday Prabhu, Miguel R. D. Rodrigues

Published Jun 20, 2011• 87 citations
Publisher

Abstract

In this correspondence, we characterize the probability of secrecy-outage and the asymptotic high-signal-to-noise ratio (SNR) ε-outage secrecy-capacity for a single-input-single-output-multi-eavesdropper (SISOME) wireless system with eavesdroppers performing maximum ratio combining (MRC) or selection diversity combining (SDC) reception. We also consider the SISO2E case with eavesdropper antenna-correlation and finally, analyze the scenario where the eavesdropper has Rician fading links with the transmitter.

DOI
10.1109/tifs.2011.2159491

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On Wireless Channels With M{M}M-Antenna Eavesdroppers: Characterization of the Outage Probability and $\varepsilon $-Outage Secrecy Capacity
In this correspondence, we characterize the probability of secrecy-outage and the asymptotic high-signal-to-noise ratio (SNR) ε-outage secrecy-capacity for a single-input-single-output-multi-eavesdropper (SISOME) wireless system with eavesdroppers performing maximum ratio combining (MRC) or selection diversity combining (SDC) reception. We also consider the SISO2E case with eavesdropper antenna-correlation and finally, analyze the scenario where the eavesdropper has Rician fading links with the transmitter.
In this paper, we consider secure communications between a single antenna transmitter and a single antenna receiver in the presence of a multiple antenna eavesdropper employing MRC or SDC reception. We show that an M-antenna eavesdropper performing SDC reception has precisely the same degrading effect on secrecy as M single antenna eavesdroppers under independent fading conditions. We also show that an M-antenna eavesdropper performing MRC reception causes greater secrecy degradation than an M-antenna eavesdropper performing SDC reception or M single antenna eavesdroppers. We also derive closed-form expressions for the asymptotic high SNR outage secrecy capacity for both the MRC and the SDC eavesdropper cases. Various numerical results are presented that corroborate the analysis.
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Asymptotic Secrecy Outage Performance for TAS/MRC Over Correlated Nakagami-m{m}m Fading Channels
In this paper, considering both the antenna correlation and the channel correlation between the legitimate receiver and the eavesdropper, we comprehensively investigate the secrecy performance for transmit antenna selection and maximal ratio combining (TAS/MRC) scheme in a multi-input multi-output multi-antenna eavesdropper (MIMOME) system. Different from the existing works, the correlated legitimate channels and correlated eavesdropper channels experience Nakagmai-m{m}mfading with distinct fading parameters, and are modeled as a combination of conditionally independent channel gains and independent channel gains. By this novel correlation representation, the combined effect of antenna correlation and channel correlation between the legitimate receiver and the eavesdropper on secrecy performance is quantified via the secrecy outage probability (SOP) under a more general fading circumstance. In addition, two special cases of correlated channels are addressed in detail. Finally, simulations are performed to verify our analysis. The analysis and simulation results show that at high signal-to-noise ratio (SNR), antenna correlation at the legitimate receiver can improve the SOP performance for the correlated MIMOME wiretap channels, and this finding is contrary to the conventional wisdom that antenna correlation degrades the SOP performance.
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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.
In the perspective of information-theoretical security, inspired by the heterogeneity between legal and illegal channels, we consider the physical layer secrecy performance of a novel system model with a single antenna employed for both the transmitter and legal receiver, in the presence of a multiple antennas passive eavesdropper over dissimilar fading channels, where the legal/illegal channels are subject to Rayleigh/Nakagami-m and Nakagami-m/Rayleigh fading, respectively. We assume that the eavesdropper employs either maximal-ratio combining or selection combining reception in order to benefit from space diversity. Specifically, the exact closed-form expressions of the probability of existence of secrecy capacity and the secrecy outage probability are derived by utilizing statistical characteristics of the signal-to-noise ratio. Moreover, the delightful results reveal that the secrecy performance achieves a greater level when the Nakagami-m fading is supposed on the main link due to the line of sight component. In final, the analytical results are verified by Monte-Carlo simulation.