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International Conference on Networking and Network Applications (NaNA)

Secure Transmission with Limited Feedback in MISOME Wiretap Channels

Jiao Quan, Xiaochen Li, Yeqiu Xiao, Yulong Shen, Fenghua Li

Published Oct 1, 2017• 0 citations
Publisher

Abstract

This paper studies the secure transmission over Rayleigh fading channels, where the communication between a multi-antenna(N-antenna) transmitter and a desired single-antenna receiver is overheard by a multi-antenna(Mantenna) eavesdropper. We consider a practical scenario where the transmitter can only obtain the average channel knowledge of the eavesdropper and the imperfect instantaneous channel knowledge of the legitimate receiver through the use of pilot training and digital feedback. Two outage events occur in the system - a connection outage event to ensure decode correctly and a secrecy outage event to ensure secure transmission, closed-form expressions for dual outage probabilities are derived. Before transmission, the transmitter selects the wiretap coding parameters to achieve secure transmission based on the instantaneous realization of the main channel, and the closed-form expression for secrecy throughput is also derived. By this, we further determine the optimal secrecy rate and the optimal power allocation between information signals and artificial noise signals to maximize the secrecy throughput. Moreover, we explicitly examine the impacts of N and M on the secrecy throughput and optimal power allocation.

DOI
10.1109/nana.2017.59

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This paper studies the secure transmission over Rayleigh fading channels, where the communication between a multi-antenna(N-antenna) transmitter and a desired single-antenna receiver is overheard by a multi-antenna(Mantenna) eavesdropper. We consider a practical scenario where the transmitter can only obtain the average channel knowledge of the eavesdropper and the imperfect instantaneous channel knowledge of the legitimate receiver through the use of pilot training and digital feedback. Two outage events occur in the system - a connection outage event to ensure decode correctly and a secrecy outage event to ensure secure transmission, closed-form expressions for dual outage probabilities are derived. Before transmission, the transmitter selects the wiretap coding parameters to achieve secure transmission based on the instantaneous realization of the main channel, and the closed-form expression for secrecy throughput is also derived. By this, we further determine the optimal secrecy rate and the optimal power allocation between information signals and artificial noise signals to maximize the secrecy throughput. Moreover, we explicitly examine the impacts of N and M on the secrecy throughput and optimal power allocation.
We investigate the optimal physical-layer secure transmission with artificial noise in the wiretap channel with N antennas at the transmitter, a single antenna at the receiver, and M antennas at the eavesdropper. We analyze the performance and determine the optimal transmission parameters for two distinct schemes: 1) an on-off transmission scheme and 2) an adaptive transmission scheme. For the on-off transmission scheme, where a channel-realization-independent secrecy rate is used for all transmission periods, we derive closed-form expressions for the secure transmission probability, the hybrid outage probability, and the effective secrecy throughput. For the adaptive transmission scheme, where a channel-realization-dependent secrecy rate is used for each transmission period, we derive closed-form expressions for the secure transmission probability, the secrecy outage probability, and the effective secrecy throughput. Using these closed-form expressions, we determine the optimal power allocation between information signals and artificial noise signals for both schemes to maximize the secure transmission probability. We also determine the optimal secrecy rate for both schemes to maximize the effective secrecy throughput. We explicitly examine the impact of N and M on the optimal power allocation and the optimal secrecy rate. Finally, we demonstrate the performance gain of the adaptive transmission scheme over the on-off transmission scheme.
We design a novel artificial-noise-aided secure ON-OFF transmission scheme in a wiretap channel. We consider a practical scenario, where the multi-antenna transmitter only obtains partial channel knowledge from the single-antenna receiver through limited training and feedback but has no channel knowledge about the single-antenna eavesdropper. In the design, we first propose a three-period block transmission protocol to capture the practical training and quantization features. We then characterize the statistics of the received signal-to-noise ratios at the receiver and the eavesdropper. Under the secrecy outage constraint, we exploit the ON-OFF scheme to perform secure transmission and derive a closed-form expression for the secrecy throughput. Moreover, we investigate the optimization problem of maximizing the secrecy throughput by proposing an iterative algorithm to determine the optimal power allocation between the information signal and artificial noise, as well as the optimal codeword transmission rate. Furthermore, we define the net secrecy throughput (NST), which takes the signaling overhead into account and address the problem of optimally allocating the block resource to the training and feedback overhead. Numerical results clearly demonstrate how the optimal signaling overhead changes with the number of transmit antennas, and there exists an optimal number of antennas that maximizes the NST.
We consider transmission of confidential data over multiple-input single-output multiple-eavesdropper (MISOME) Rayleigh-fading wiretap channels. The transmitter has access to full channel state information (CSI) of a legitimate link but only partial CSI of an eavesdropper link in forms of the average received signal-to-noise power ratio (SNR). In this location-aware scenario, we develop the optimal power allocation strategy that maximizes the secrecy rate achievable by beamforming. The optimal power control is regulated in an on-off fashion with the threshold depending only on the numbers of antennas and the average SNRs. By rescuing the vanishing high-SNR degree of freedom for secure communication from this optimal on-off beamforming with the artificial noise scheme, we further derive the achievable ergodic secrecy rate of MISOME wiretap channels in closed form.
We present an optimized secure multi-antenna transmission approach based on artificial-noise-aided beamforming, with limited feedback from a desired single-antenna receiver. To deal with beamformer quantization errors as well as unknown eavesdropper channel characteristics, our approach is aimed at maximizing throughput under dual performance constraints-a connection outage constraint on the desired communication channel and a secrecy outage constraint to guard against eavesdropping. We propose an adaptive transmission strategy that judiciously selects the wiretap coding parameters, as well as the power allocation between the artificial noise and the information signal. This optimized solution reveals several important differences with respect to solutions designed previously under the assumption of perfect feedback. We also investigate the problem of how to most efficiently utilize the feedback bits. The simulation results indicate that a good design strategy is to use approximately 20% of these bits to quantize the channel gain information, with the remainder to quantize the channel direction, and this allocation is largely insensitive to the secrecy outage constraint imposed. In addition, we find that 8 feedback bits per transmit antenna is sufficient to achieve approximately 90% of the throughput attainable with perfect feedback.
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.
We consider the secure beamforming transmission over a quasi-static block fading channel from a multi-antenna transmitter to a desired single-antenna receiver, in the presence of a passive single-antenna eavesdropper. We focus on a practical scenario where the transmitter can only acquire the statistical channel knowledge of the eavesdropper and the partial channel knowledge of the legitimate receiver through a finite amount of signaling overhead. To keep control of the outage events caused by the limited channel knowledge, We firstly propose a strategy to determine the wiretap code parameters under the outage constraints, based on which we establish a necessary transmission condition to guarantee a positive secrecy rate. Aided by this transmission condition, we propose an on-off-based transmission scheme and characterize the secrecy throughput performance of the system. Our designed transmission scheme is beneficial for the deployment of physical layer security in practical frequency division duplex (FDD) systems with limited training and feedback.