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Asilomar Conference on Signals, Systems and Computers (ACSSC)

Benefits of multiple transmit antennas in secure communication: A secrecy outage viewpoint

Xi Zhang, Xiangyun Zhou, Matthew R. McKay

Published Nov 1, 2011• 9 citations
Publisher

Abstract

This paper investigates secure multi-antenna transmission in slow fading channels without the eavesdropper's channel state information. The use of multiple transmit antennas enables the transmitter to strengthen the signal reception at the intended receiver while simultaneously confusing the eavesdropper by delivering artificial noise. A recently developed secrecy outage formulation, which can separately measure the quality of service and the level of security, is used to characterize the security performance. We show that an arbitrarily low secrecy outage probability cannot be achieved by adding more transmit antennas alone without optimizing other system parameters. To facilitate the practical system design, we present an on-off transmission scheme with optimal artificial noise power allocation, which minimizes the secrecy outage probability whilst guaranteeing a minimum required quality of service.

DOI
10.1109/acssc.2011.6189987

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This paper investigates secure multi-antenna transmission in slow fading channels without the eavesdropper's channel state information. The use of multiple transmit antennas enables the transmitter to strengthen the signal reception at the intended receiver while simultaneously confusing the eavesdropper by delivering artificial noise. A recently developed secrecy outage formulation, which can separately measure the quality of service and the level of security, is used to characterize the security performance. We show that an arbitrarily low secrecy outage probability cannot be achieved by adding more transmit antennas alone without optimizing other system parameters. To facilitate the practical system design, we present an on-off transmission scheme with optimal artificial noise power allocation, which minimizes the secrecy outage probability whilst guaranteeing a minimum required quality of service.
We study secure multi-antenna transmission with limited feedback from the intended receiver and no feedback from the malicious eavesdropper. Our system uses the artificial-noise-aided beamforming approach to enhance secrecy, considering slow fading channels with outage constraints on the reliability performance of legitimate communication and the secrecy performance against eavesdropping. Our analytical results provide conditions on the minimum number of feedback bits and the minimum strength of the intended channel for making secure transmission possible. We observe that strengthening the secrecy outage constraint puts higher requirements on the number of feedback bits and the strength of the intended channel. To maximize the achievable secrecy rate, the optimal transmit power allocation between the information signal and the artificial noise is also derived in closed form.
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.
Exploiting the randomness embedded in wireless channels, the physical-layer security techniques can provide additional security robustness against malicious eavesdropping at the physical layer of communication systems. To further this line of study, this thesis focuses on developing advanced multi-antenna transmission strategies for enhancing the secrecy performance of wireless communication systems. Assuming perfect channel feedback from the desired receiver and none from the eavesdropper, we consider beamforming with smartly injected artificial noise, aiming to confuse the eavesdropper whilst leaving the desired receiver unaffected. The system parameters are either chosen to be fixed for all transmissions, or adaptively adjusted based on the channel feedback from the desired receiver. For both cases, we provide novel and explicit design solutions for achieving the maximum throughput subject to a secrecy outage constraint. We then derive accurate approximations for the maximum throughput, and give new insights into the additional power cost for achieving a higher security level and the throughput gain of adaptive transmission over non-adaptive transmission. Having investigated the perfect feedback scenario, we then relax the feedback assumption and consider practical effects imposed by limited feedback constraints on the channel from the desired receiver to the transmitter. To deal with quantization error due to limited feedback whilst also accounting for unknown channel of the eavesdropper, we specify a connection outage constraint to guarantee the reliability of desired communication and a secrecy outage constraint to guard against malicious eavesdropping. Under dual outage constraints, we derive a novel optimized rate-adaptive transmission design to maximize the average secrecy throughput. New insights regarding the optimal power/feedback allocation and the number of feedback bits required for efficient quantization are obtained through our analysis. Our preceding study focused on isolated point-to-point transmission without any interference. However, the performance of contemporary wireless networks is often limited by interference from concurrent transmissions. To characterize the impact of interference on secure communication, we consider an interference-limited large-scale network. To confuse the malicious eavesdroppers, in addition to information-bearing signals, the transmitters are designed to generate artificial noise through either beamforming or antenna sectoring in a distributed manner. For both cases, using tools from stochastic geometry, we provide a statistical characterization of the reliability performance of desired communication and the secrecy performance against eavesdropping. We then investigate the networkwide secrecy throughput performance and optimize the transmit power allocation. Our analysis reveals interesting differences between the beamforming and sectoring approaches in terms of the optimal power allocation and the maximum networkwide secrecy throughput.
We analyze and optimize the secrecy performance of artificial noise (AN) in multi-input single-output wiretap channels with multiple antennas at the transmitter and a single antenna at the receiver and the eavesdropper. We consider two transmission schemes: 1) an on-off transmission scheme with a constant secrecy rate for all transmission periods, and 2) an adaptive transmission scheme with a varying secrecy rate during each transmission period. For the on-off transmission scheme, an easy-to-compute expression is derived for the hybrid outage probability, which allows us to evaluate the transmission outage probability and the secrecy outage probability. For the adaptive transmission scheme where transmission outage does not occur, we derive a closed-form expression for the secrecy outage probability. Using these expressions, we determine the optimal power allocation between the information signal and the AN signal and also determine the optimal secrecy rate such that the effective secrecy throughput is maximized for both transmission schemes. We show that the maximum effective secrecy throughput requires more power to be allocated to the AN signal when the quality of the transmitter-receiver channel or the transmitter-eavesdropper channel improves. We also show that both transmission schemes achieve a higher maximum effective secrecy throughput while incurring a lower secrecy outage probability than existing schemes.
This paper investigates the secrecy outage performance of a multiple-input multiple-output and multi-antenna eavesdropper system. We consider a novel formulation for the secrecy outage probability, which is capable of quantifying reliability and secrecy separately, thus constituting a useful tool in the context of new scenarios with stringent requirements on reliability as the case of ultra-reliable low-latency communication. Our system considers a multi-antenna transmitter, Alice, that employs transmit antenna selection, a legitimate multi-antenna receiver, Bob, and a multi-antenna eavesdropper, Eve, where both employing maximal-ratio combining. For this system, exact and simpler asymptotic closed-form expressions for the conditional outage probability are provided. Moreover, for the case where channel state information is available at the three nodes, a numerical secure throughput maximization is carried out by considering quality-of-service and security constraints for an adaptive rate allocation scheme in an ON-OFF transmission. Our proposed closed-form expressions are validated via Monte Carlo simulations.
We consider the problem of secure communication with multiantenna transmission in fading channels. The transmitter simultaneously transmits an information-bearing signal to the intended receiver and artificial noise to the eavesdroppers. We obtain an analytical closed-form expression of an achievable secrecy rate and use it as the objective function to optimize the transmit power allocation between the information signal and the artificial noise. Our analytical and numerical results show that equal power allocation is a simple yet near-optimal strategy for the case of noncolluding eavesdroppers. When the number of colluding eavesdroppers increases, more power should be used to generate the artificial noise. We also provide an upper bound on the SNR, above which, the achievable secrecy rate is positive and shows that the bound is tight at low SNR. Furthermore, we consider the impact of imperfect channel state information (CSI) at both the transmitter and the receiver and find that it is wise to create more artificial noise to confuse the eavesdroppers than to increase the signal strength for the intended receiver if the CSI is not accurately obtained.