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On Wireless Channels with M-Antenna Eavesdroppers: Characterization of the Outage Probability and Outage Secrecy Capacity

Vinay Uday Prabhu, Miguel R. D. Rodrigues

Published Dec 1, 2010• 10 citations
Publisher

Abstract

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.

DOI
10.1109/glocom.2010.5683623

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On Wireless Channels With M{M}M-Antenna Eavesdroppers: Characterization of the Outage Probability and $\varepsilon $-Outage Secrecy Capacity
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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.
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In this paper, we consider a hybrid fading model in which line of sight (LOS) component is available between the transmitter and legitimate receiver and assume that eavesdropper is not in LOS from the transmitter. We analyze probability of existence of secrecy and secrecy outage probability for the case that the channels to the legitimate receiver are κ-μ faded and the channels to eavesdropper are Rayleigh faded. We present closed form expressions for existence of secrecy and a lower bound on secrecy outage probability when legitimate receiver and eavesdropper uses maximal ratio combining (MRC) diversity scheme to improve their performances in fading conditions. Results of analytical expressions are verified by an agreement of the results from simulation. Finally, it is concluded that the presence of LOS component improves secrecy of the system and stronger LOS component betters the secrecy.