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IEEE Communications Letters

Secrecy Outage Analysis of Multiuser Diversity With Unequal Average SNR in Transmit Antenna Selection Systems

Yujia Hu, Xiaofeng Tao

Published Jan 13, 2015• 3 citations
Publisher

Abstract

This letter exploits multiuser diversity to enhance the physical layer security in transmit antenna selection systems. Since fading channels among different users are nonidentically distributed, new expressions of the exact and asymptotic secrecy outage probability are derived in an accumulate way. Also, an efficient closed-form derivation rather than a numerical root-finding is presented to evaluate the ε-outage secrecy capacity. Simulations are provided to verify our analysis and show that 1) the number of users has a great impact on secrecy performance; 2) the multiuser diversity should be exploited appropriately considering the statistics of the legitimate users and the eavesdropper.

DOI
10.1109/lcomm.2015.2391257

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•Jan 1, 2011•0 citations
This letter exploits multiuser diversity to enhance the physical layer security in transmit antenna selection systems. Since fading channels among different users are nonidentically distributed, new expressions of the exact and asymptotic secrecy outage probability are derived in an accumulate way. Also, an efficient closed-form derivation rather than a numerical root-finding is presented to evaluate the ε-outage secrecy capacity. Simulations are provided to verify our analysis and show that 1) the number of users has a great impact on secrecy performance; 2) the multiuser diversity should be exploited appropriately considering the statistics of the legitimate users and the eavesdropper.
The secrecy outage performance of multiuser multiple‐input–multiple‐output (MU‐MIMO) transmit antenna selection systems is analysed, where some of the users overhear transmissions as long as they are not scheduled currently. A general closed‐form expression of secrecy outage probability is derived by ordering the qualities of paths and calculating the joint probability density functions. Numerical results are provided to illustrate the different impacts of multiuser diversity and antenna diversity on the secrecy performance.
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.
We propose and analyze transmit antenna selection (TAS) to enhance physical layer security in a wiretap channel with NAantennas at the transmitter, NBantennas at the receiver, and NEantennas at the eavesdropper. We focus on the practical scenario where the transmitter does not have any channel state information (CSI) of the eavesdropper's channel. The transmitter selects a single antenna that maximizes the instantaneous signal-to-noise ratio (SNR) at the receiver. The receiver and the eavesdropper employ either maximal-ratio combining (MRC) or selection combining (SC) to combine the received signals. For the proposed protocols, we derive new closed-form expressions for the probability of non-zero secrecy capacity. We consider Nakagami-m fading with non-identical fading parameters of the main channel, mB, and of the eavesdropper's channel, mE. Next, we derive new closed-form expressions for the exact secrecy outage probability, based on which the ε-outage secrecy capacity is characterized. Based on the exact expressions, we derive the asymptotic secrecy outage probability which accurately reveals the secrecy diversity order and the secrecy array gain. We confirm that the proposed protocols achieve identical secrecy diversity orders of NANBmB. An interesting conclusion is reached that this diversity order is independent of NEand mE. Furthermore, we prove that under the proposed protocols, the secrecy outage probability and the ε-outage secrecy capacity improve with increasing NA.
We analyze the physical layer security of a communication scheme with a multiple antenna legitimate transmitter, employing transmit antenna selection (TAS), and a single antenna legitimate receiver in the presence of a single antenna eavesdropper. We developed closed-form expressions for the analysis of the secrecy outage probability supposing independent and quasi-static Rayleigh fading channels. Our results show that the secrecy outage probability is considerably increased when multiple antennas are available at the legitimate transmitter. Moreover, due to the use of the TAS technique, the eavesdropper is not able to exploit the additional spatial diversity offered by the legitimate transmitter.
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.
Abstract—We analyze the physical layer security of a commu-nication scheme with a multiple antenna legitimate transmitter, employing transmit antenna selection (TAS), and a single antenna legitimate receiver in the presence of a single antenna eaves-dropper. We developed closed-form expressions for the analysis of the secrecy outage probability supposing independent and quasi-static Rayleigh fading channels. Our results show that the secrecy outage probability is considerably increased when multiple antennas are available at the legitimate transmitter. Moreover, due to the use of the TAS technique, the eavesdropper is not able to exploit the additional spatial diversity offered by the legitimate transmitter. I.