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IEEE Conference on Computer Communications (INFOCOM)

Analysis of secrecy performance in fading multiple access wiretap channel with SIC receiver

Kaiwei Jiang, Tao Jing, Zhen Li, Yan Huo, Fan Zhang

Published May 1, 2017• 27 citations
Publisher

Abstract

Recently, a new paradigm of multiple access (MAC) along with one eavesdropper to achieve secrecy transmissions has been getting in focus. However, all existing work on such multiple access wiretap channel (MAC-WT) mainly concentrates on the secrecy performance of the system as a whole from an information theoretic perspective. In this work, we investigate the secrecy performance of a single transmitter in the quasi-static Rayleigh fading MAC-WT on basis of two decoding methods, zero-forcing (ZF) and minimum mean-square error (MMSE), jointly with successive interference cancellation (SIC). We evaluate the secrecy performance in three metrics: positive secrecy capacity probability, secrecy outage probability and effective secrecy throughput. The analytical and simulation results show that, 1) the SIC order has great impacts on the secrecy performance for both methods; 2) MMSE-SIC outperforms ZF-SIC, while the performance gap can be overcome via adjusting SIC order, or increasing SNR, or enhancing the spatial diversity gain; 3) in high SNR regime, the secrecy performance is only determined by the relative distance to eavesdropper over legitimate receiver rather than the SNR.

DOI
10.1109/infocom.2017.8057121

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Recently, a new paradigm of multiple access (MAC) along with one eavesdropper to achieve secrecy transmissions has been getting in focus. However, all existing work on such multiple access wiretap channel (MAC-WT) mainly concentrates on the secrecy performance of the system as a whole from an information theoretic perspective. In this work, we investigate the secrecy performance of a single transmitter in the quasi-static Rayleigh fading MAC-WT on basis of two decoding methods, zero-forcing (ZF) and minimum mean-square error (MMSE), jointly with successive interference cancellation (SIC). We evaluate the secrecy performance in three metrics: positive secrecy capacity probability, secrecy outage probability and effective secrecy throughput. The analytical and simulation results show that, 1) the SIC order has great impacts on the secrecy performance for both methods; 2) MMSE-SIC outperforms ZF-SIC, while the performance gap can be overcome via adjusting SIC order, or increasing SNR, or enhancing the spatial diversity gain; 3) in high SNR regime, the secrecy performance is only determined by the relative distance to eavesdropper over legitimate receiver rather than the SNR.
In this paper, a decoding method of joint zero-forcing and successive interference cancellation (ZF-SIC) is put forward to assist the study of the individual secrecy in the quasi-static Rayleigh fading single-input multiple-output multiple access wiretap channel. We first evaluate the individual secrecy performance by deriving the closed-form expressions in terms of positive secrecy capacity probability, secrecy outage probability, and effective secrecy throughput (EST). Besides the expected impact of the SIC order, we find, in high signal-to-noise ratio (SNR) regime, the secrecy performance is only determined by the transmitter’s relative distance to eavesdropper over legitimate receiver rather than the SNR. Such a result prompts us to propose an SIC order scheduling scheme (alternative scheme) on basis of the transmitters’ relative distances from the shortest to the longest. It is proved optimal in achieving total maximum EST in high SNR regime. Finally, we also investigate the problem of optimal power allocation to each transmitter under the constraint of the limited total power. An interesting solution to this problem is disclosed with the aid of numerical analysis.
A new paradigm of uplink non-orthogonal multiple access along with multiple eavesdroppers to achieve secrecy transmission is studied in this paper. We investigate the secrecy performance of a single transmitter in both non-colluding- and colluding-eavesdropper scenarios on basis of two decoding methods at the legitimate receiver, zero-forcing (ZF), and minimum mean-square error (MMSE), jointly with successive interference cancellation (SIC). We first evaluate the secrecy performance in three metrics: secrecy outage probability, effective secrecy throughput (EST), and positive secrecy capacity probability. Analytical results show: 1) the collusion of eavesdroppers deteriorates the secrecy performance, which is an affine combination of those regarding each single eavesdropper and 2) MMSE-SIC outperforms ZF-SIC, while the performance gap can be overcome via reducing the number of interferers, or increasing signal-to-noise ratio (SNR), or enhancing the spatial diversity gain. We then analyze the asymptotic behaviors of the secrecy performance, revealing the high-SNR secrecy performance for both ZF-SIC and MMSE-SIC approaches to the same result which is location-dependent only. Furthermore, we study the problem of optimal power allocation to each transmitter subject to limited total transmit power. An interesting solution to this problem is demonstrated with the aid of numerical results. Finally, we propose an SIC order scheduling scheme which is conjectured to be optimal in achieving total maximum EST in a high SNR regime.
We investigate individual secrecy performance in a K -user quasi-static Rayleigh fading homogeneous multiple access wiretap channel (MAC-WT), where a legitimate receiver employs successive interference cancellation (SIC) decoding. We first evaluate individual secrecy performance under an arbitrary SIC order by deriving closed-form expressions with respect to secrecy outage probability and effective secrecy throughput (EST) as main metrics. The resulting closed-form expressions disclose a significant impact on the secrecy performance from the order of SIC decoding. Therefore, we propose three SIC decoding order scheduling schemes: (1) round-robin scheme, absolutely fair and served as a benchmark; (2) suboptimal scheme, based on each user’s main channel condition; and (3) optimal scheme, based on each user’s achievable secrecy rate. Comparison results show that the last two schemes outperform the first one with regard to both the EST and the multi-user diversity gain, whereas the performance of the suboptimal scheme is highly close to that of the optimal scheme which is usually impractical due to a requirement for the eavesdropper’s channel state information (CSI).
This paper presents a detailed secrecy performance analysis of correlated multi-antenna wiretap channels with three popular diversity combining schemes, namely maximal ratio combining, selection combining, and equal gain combining at the legitimate receiver. For single-input multiple-output wiretap channels, both exact and asymptotic expressions are derived for the secrecy outage probability (SOP) of these systems. The findings suggest that, compared with the scenario where all the channels are independent, correlation of the main channels alone increases the SOP by a factor of 1/ det(U), where det(U) is the determinant of correlation matrix U. In contrast, when the average SNR at the legitimate receiver is much larger than that at the eavesdropper, correlation between the main channels and the eavesdropper channels has a positive effect on SOP. Moreover, in the case of multiple-input and multiple-output wiretap channels, two transmit antenna selection schemes with or without the eavesdropper's channel state information are evaluated by the SOP and the average secrecy capacity for the considered correlated channel model, respectively. Finally, numerical simulations are conducted to corroborate the analytical results.
Emerging from the information-theoretic characterization of secrecy, physical-layer security exploits the physical properties of the wireless channel for security purpose. In recent years, a great deal of attention has been paid to investigating the physical-layer security issues in multiple-input multiple-output (MIMO) wireless communications. This paper analyzes the secrecy performance of transmit-receive diversity system and spatial multiplexing systems with zero-forcing equalization and minimum mean-square-error equalization. Specifically, exact and asymptotic closed-form expressions are derived for the secrecy outage probability of such MIMO systems in a Rayleigh fading environment, and the corresponding secrecy diversity orders and secrecy array gains are determined. Numerical results are presented to corroborate the analytical results and to examine the impact of various system parameters, including the numbers of antennas at the transmitter, the legitimate receiver, and the eavesdropper. These contributions bring about valuable insights into the physical-layer security in MIMO wireless systems.
The issue of physical layer security for the wireless communication with slow fading is addressed in this paper, and the secrecy outage performance is concerned. The system is modeled as a wiretap channel, and each of the transmitter and receivers is equipped with a single antenna. The channel state information (CSI) about the channel from the transmitter to the legitimate receiver (the main channel) is assumed to be perfectly known by the transmitter and the receivers, while the transmitter does not know the CSI about the channel from the transmitter to the eavesdropper (the eavesdropper's channel) but its probability density function (PDF). Differing from the fixed secrecy rate scheme and the on/off scheme in the literature, this paper adaptively chooses the secrecy rate. The secrecy rate for each value of the main channel gain is determined by the required secrecy outage probability and the PDF of the eavesdropper's channel, and the secrecy throughput is maximized under the constraint of the transmit power for the required secrecy outage probability. The quasi-static Rayleigh fading channel is used to compare our scheme with the two existing schemes, and simulation results show that our scheme outperforms them when small secrecy outage probabilities are required.