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IEEE Military Communications Conference (MILCOM)

Security Region Analysis with Artificial Noise Based on Secrecy Outage Probability

Litao Mao, Yongzhao Li, Tao Li, Mingjun Gao, Hailin Zhang

Published Oct 1, 2018• 4 citations
Publisher

Abstract

This paper analyzes security region with artificial noise (AN) based on secrecy outage probability under the assumption that the eavesdropper's channel state information and location are unknown to the transceiver. By utilizing beamforming, the legitimate receiver transmits the AN in the direction of the legitimate transmitter to impair the eavesdropper more effectively. Based on it, a closed-form secrecy outage probability expression is derived to define the security region. Furthermore, a concept called safe transmission interval is proposed to measure the secrecy performance. Simulation results are in good agreement with the theoretical expression and show the impacts of transmit antenna number, target rate and power allocation on the security region.

DOI
10.1109/milcom.2018.8599780

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This paper analyzes security region with artificial noise (AN) based on secrecy outage probability under the assumption that the eavesdropper's channel state information and location are unknown to the transceiver. By utilizing beamforming, the legitimate receiver transmits the AN in the direction of the legitimate transmitter to impair the eavesdropper more effectively. Based on it, a closed-form secrecy outage probability expression is derived to define the security region. Furthermore, a concept called safe transmission interval is proposed to measure the secrecy performance. Simulation results are in good agreement with the theoretical expression and show the impacts of transmit antenna number, target rate and power allocation on the security region.
This paper analyzes the influence of power and dimension of artificial noise (AN) on security performance of multiple-input multiple-output (MIMO) system with multiple randomly located eavesdroppers. We derive the closed-form expressions of the secrecy outage probability (SOP) and the optimal secrecy capacity by utilizing the irrelevance among transmission channels, and the orthogonality between AN and the basis vectors of the legitimate channel matrix's null space. We use the Poisson point process to determine the number and location of eavesdroppers, then analyze the security performance of the communication system under the 3D channel condition of probability-based line-of-sight (LoS) or non-line-of-sight (NLoS) channel. The simulation results show the following conclusions. When the AN dimension reaches 1/4 highest dimension (i.e., one quarter of the number of transmitting antennae less than one) and the power splitter factor (PSF) falls in the open interval (0.6, 0.9), we can achieve a trade-off between secrecy capacity and design complexity.
A novel approach for ensuring confidential wireless communication is proposed and analyzed from an information-theoretic standpoint. In this approach, the legitimate receiver generates artificial noise (AN) to impair the intruder's channel. This method is robust because it does not need the feedback of channel state information (CSI) to the transmitter and does not assume that the number of Eve's antennas should be smaller than that of Bob. Furthermore, we propose a new concept of outage secrecy region to evaluate the secrecy performance from a geometrical perspective. This should be useful if we need to know what zone should be protected (or militarized). Analysis and simulation results in practical environments show that the proposed method has a good performance.
Utilizing artificial noise (AN) is a good means to guarantee security against eavesdropping in a multi-input multi-output system, where the AN is designed to lie in the null space of the legitimate receiver's channel direction information (CDI). However, imperfect CDI will lead to noise leakage at the legitimate receiver and cause significant loss in the achievable secrecy rate. In this paper, we consider a delayed feedback system, and investigate the impact of delayed CDI on security by using a transmit beamforming and AN scheme. By exploiting the Gauss-Markov fading spectrum to model the feedback delay, we derive a closed-form expression of the upper bound on the secrecy rate loss, where Nt= 2. For a moderate number of antennas where Nt>; 2, two special cases, based on the first-order statistics of the noise leakage and large number theory, are explored to approximate the respective upper bounds. In addition, to maintain a constant signal-to-interference-plus-noise ratio degradation, we analyze the corresponding delay constraint. Furthermore, based on the obtained closed-form expression of the lower bound on the achievable secrecy rate, we investigate an optimal power allocation strategy between the information signal and the AN. The analytical and numerical results obtained based on first-order statistics can be regarded as a good approximation of the capacity that can be achieved at the legitimate receiver with a certain number of antennas, Nt. In addition, for a given delay, we show that optimal power allocation is not sensitive to the number of antennas in a high signal-to-noise ratio regime. The simulation results further indicate that the achievable secrecy rate with optimal power allocation can be improved significantly as compared to that with fixed power allocation. In addition, as the delay increases, the ratio of power allocated to the AN should be decreased to reduce the secrecy rate degradation.
This letter studies a challenging physical layer security problem for downlink transmissions when facing a randomly located active eavesdropper. Artificial noise (AN) is transmitted in conjunction with a confidential signal to defend against the eavesdropper. However, the active eavesdropper with changeable location can perform both eavesdropping and malicious jamming simultaneously, which yields the secrecy outage probability as an unsuitable performance metric. In this case, a more appropriate metric, the hybrid outage probability which takes both the transmission outage probability and secrecy outage probability into consideration, is derived to evaluate the security performance. Based on the hybrid outage probability, we can optimize the power allocation to the confidential and AN signals. Furthermore, an insecure region is defined to restrict the location of the eavesdropper. Additionally, the insecure range is defined as a valuable indicator of a circular insecure region. Simulation results are provided to depict the region around receiver is insecure.
A novel approach for ensuring confidential wireless communication is proposed and analysed from a geometrical perspective. In this method, both the legitimate receiver and transmitter generate artificial noise (AN) to impair the eavesdropper's channel. The authors use the concept of insecure region to characterise the security performance when the eavesdropper's channel is unknown. The insecure region is defined as the region where the eavesdropper may decode the secret message. With the aim of minimising the size of the insecure region, an optimum power allocation strategy between the information bearing signal and the AN is proposed. Simulation results show that the proposed method achieves a good performance.
In this paper, we study the secure multi-antenna transmission with artificial noise (AN) under slow fading channels coexisting with randomly located eavesdroppers. We provide a comprehensive secrecy performance analysis and system design/optimization under a stochastic geometry framework. Specifically, we first evaluate the secrecy outage performance, and derive a closed-form expression for the optimal power allocation ratio of the information signal power to the total transmit power that minimizes the secrecy outage probability (SOP). Subject to a SOP constraint, we then propose a dynamic parameter transmission scheme (DPTS) and a static parameter transmission scheme (SPTS) to maximize secrecy throughput, and provide explicit solutions on the optimal transmission parameters, including the wiretap code rates, the on-off transmission threshold and the power allocation ratio. Our results give new insight into secure transmission designs. For example, secrecy rate is a concave function of the power allocation ratio in DPTS, and AN plays a significant role under SOP constraints and in dense eavesdropper scenarios. In SPTS, transmission probability is a concave function of the power allocation ratio, and secrecy throughput is a quasi-concave function of the secrecy rate. Numerical results are demonstrated to validate our theoretical analysis.