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IEEE Access

SIC-Based Secrecy Performance in Uplink NOMA Multi-Eavesdropper Wiretap Channels

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

Published Jan 1, 2018• 39 citations
Publisher

Abstract

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.

DOI
10.1109/access.2018.2823003

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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.
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.
A novel secrecy scenario of uplink non-orthogonal multiple access (NOMA) along with cooperative jammer(s) to improve secrecy performance is studied in this work. We first characterize secrecy performance in terms of positive secrecy rate probability, secrecy outage probability (SOP) and effective secrecy throughput (EST), and derive the closed-expressions of individual secrecy performance. The analytical results not only show an improvement on secrecy performance with the aid of cooperative jamming, but also clearly illustrate how each jammer affects the secrecy performance. We then continue the study of the individual secrecy performance for its asymptotic behaviors, and reveal it is only dependent on its relative distance to the eavesdropper over the desired receiver in a high signal-to-noise ratio (SNR) regime. Finally, the maximization of overall secrecy performance is covered by investigating two optimization problems: 1) optimal selection of jammer(s) under the same transmit power; 2) optimal power allocation to each transmitter, including jammers, under the constraint of limited total transmit power. The solutions to these two problems are presented and demonstrated by an appropriate case.
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.
This paper investigates secure transmission for non-orthogonal multiple access (NOMA) systems where the imperfect successive interference cancellation (SIC) is considered at both legitimate users and eavesdropper (Eve). A power allocation scheme is designed for the legitimate users to mitigate the effect of the SIC error caused by imperfect SIC. For characterizing the secrecy performance of the NOMA system, the closed-form expressions for connection outage probability (COP), secrecy outage probability (SOP), and effective secrecy throughput (EST) are derived over Nakagami-m fading channels in both NOMA and benchmark orthogonal multiple access (OMA) systems. We also provide security and reliability trade-off results (SRT) for the users in the NOMA and OMA systems. Simulation results verify our analysis and show that the strong users achieve better secrecy performance but worse reliability performance and NOMA outperforms OMA in terms of SRT.
In this paper, we investigate the secrecy performance of an uplink-downlink power domain non-orthogonal multiple access (PD-NOMA) system with imperfect successive interference cancellation (SIC) in physical layer security (PLS). In the proposed system, two source users (SUs) communicate with two destination users (DUs) with the help of a cluster of multi-relay nodes using the decode-and-forward (DF) protocol in the presence of multi-eavesdroppers. These eavesdroppers try to overhear the wireless signal around the DUs. In our system, the selected DF-relay node also works as a jammer to improve security and protect confidential information from multi-eavesdroppers. In this role, the DF-relay node generates a jamming signal, creating artificial interference to reduce the quality of the eavesdropping channels. To evaluate the secrecy performance of the system, we derived the analytical expressions of the secrecy outage probability (SOP) for both DUs using three relay selection strategies over Rayleigh fading channels and used Monte Carlo simulations to confirm the accuracy of our calculations. Furthermore, we examined the effects of system parameters such as the number of eavesdroppers and DF relaying nodes, the power allocation, SIC performance, the position of eavesdropper on the SOP of the two DUs. We compared the performance of our proposed NOMA system with those of conventional orthogonal multiple access (OMA) schemes.
This paper investigates the impact of physical layer secrecy on the performance of a unified non-orthogonal multiple access (NOMA) framework, where both external and internal eavesdropping scenarios are examined. The spatial locations of legitimate users (LUs) and eavesdroppers are modeled by invoking stochastic geometry. To characterize the security performance, new exact and asymptotic expressions of secrecy outage probability (SOP) are derived for both code-domain NOMA (CD-NOMA) and power-domain NOMA (PD-NOMA), in which imperfect successive interference cancellation (ipSIC) and perfect SIC (pSIC) are taken into account. For the external eavesdropping scenario, the secrecy diversity orders by a pair of LUs (the n-th user and m-th user) for CD/PD-NOMA are obtained. Analytical results make known that the diversity orders of the n-th user with ipSIC/pSIC for CD-NOMA and PD-NOMA are equal to zero/K and zero/one, respectively. The diversity orders of the m-th user are equal to K/one for CD/PD-NOMA. For the internal eavesdropping scenario, we examine the analysis of secrecy diversity order and observe that the m-th user to wiretap the n-th user with ipSIC/pSIC for CD-NOMA and PDNOMA provide the diversity orders of zero/K and zero/one, respectively, which is consistent with external eavesdropping scenario. Numerical results are present to confirm the accuracy of the analytical results developed and show that: i) The secrecy outage behavior of the n-th user is superior to that of the m-th user; ii) By increasing the number of subcarriers, CD-NOMA is capable of achieving a larger secrecy diversity gain compared to PD-NOMA.PD-NOMA.