Physical layer security of modify-and-forward cooperative NOMA system based on hardware impairments

YE Mingzhu; LI Guangqiu; ZHANG Xu; GAO Jie; WANG Zhikang

doi:10.11959/j.issn.1000-0801.2025130

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Physical layer security of modify-and-forward cooperative NOMA system based on hardware impairments

Research and Development | 更新时间：2025-11-16

- Physical layer security of modify-and-forward cooperative NOMA system based on hardware impairments
- Telecommunications Science Vol. 41, Issue 9, Pages: 69-84(2025)
- 作者机构：
  
  杭州电子科技大学通信工程学院，浙江杭州 310018
- 作者简介：
- 基金信息：
- DOI：10.11959/j.issn.1000-0801.2025130
  CLC： TN918.1
- Received：24 February 2025，
  
  Revised：2025-04-02，
  
  Published：20 September 2025
- 稿件说明：
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叶明珠,李光球,张旭等.基于硬件损伤的修改转发协作NOMA系统的物理层安全[J].电信科学,2025,41(09):69-84.

YE Mingzhu,LI Guangqiu,ZHANG Xu,et al.Physical layer security of modify-and-forward cooperative NOMA system based on hardware impairments[J].Telecommunications Science,2025,41(09):69-84.
叶明珠,李光球,张旭等.基于硬件损伤的修改转发协作NOMA系统的物理层安全[J].电信科学,2025,41(09):69-84. DOI： 10.11959/j.issn.1000-0801.2025130.

YE Mingzhu,LI Guangqiu,ZHANG Xu,et al.Physical layer security of modify-and-forward cooperative NOMA system based on hardware impairments[J].Telecommunications Science,2025,41(09):69-84. DOI： 10.11959/j.issn.1000-0801.2025130.

摘要

针对解码转发（decode-and-forward，DF）协作非正交多址接入（non-orthogonal multiple access，NOMA）系统物理层安全（physical layer security，PLS）性能较差，以及实际收发信机中器件存在的硬件损伤问题，提出了一种在多窃听场景中合法、窃听用户的收发设备中均存在硬件损伤的修改转发（modify-and-forward，MF）协作NOMA系统PLS模型，并研究在发送端采用发射天线选择（transmit antenna selection，TAS）来改善在Nakagami-m衰落信道上的PLS性能。利用高斯-切比雪夫正交定理推导了采用TAS的MF-NOMA系统的安全中断概率、渐近安全中断概率和严格正安全容量的近似表达式。MF-NOMA系统的安全中断概率和严格正安全容量的数值计算结果与仿真结果一致，同时表明在相同的硬件损伤下MF-NOMA系统的PLS性能优于DF-NOMA系统；基站发射天线数越多、窃听数越少，则MF-NOMA系统的PLS性能越好；硬件损伤对MF-NOMA的PLS性能的恶化程度主要与各硬件损伤系数和各链路的平均信噪比有关，且随硬件损伤所在节点的不同而程度各异。

Abstract

In the view of poor physical layer security (PLS) performance of decode-and-forward (DF) cooperative non-orthogonal multiple access (NOMA) systems and the problem of hardware impairments in actual transceiver devices

a PLS model for a modify-and-forward (MF) cooperative NOMA system was proposed. In this model

hardware impairments exist in the transmitting and receiving devices of both legitimate and eavesdropping users in a multi-eavesdropping scenario. The transmit antenna selection (TAS) technique is employed at the transmitter to improve its PLS performance over the Nakagami-m fading channel. The approximate expressions for the secure outage probability

asymptotic secure outage probability

and strictly positive secrecy capacity of the MF-NOMA system with TAS were derived by using the Gaussian-Chebyshev quadrature theorem. The numerical calculation results of the secure outage probability and strictly positive secrecy capacity of the MF-NOMA system were consistent with the simulation results. The results show that under the same hardware impairments

the PLS performance of the MF-NOMA system outperforms that of the DF-NOMA system. The more transmit antennas of the base station has

the fewer eavesdroppers exist

the better the PLS performance of MF-NOMA system is. The degree of degradation of the MF-NOMA’s PLS performance caused by hardware impairments is mainly related to each hardware impairment coefficient and the average signal-to-noise ratio of each link

and varies depending on the node where the hardware impairment is located.

关键词

Keywords

references

ASIF M , BAO X , IHSAN A , et al . Securing NOMA 6G communications leveraging intelligent omni-surfaces under residual hardware impairments [J ] . IEEE Internet of Things Journal , 2024 , 11 ( 14 ): 25326 - 25336 .

DAI L , WANG B , DING Z , et al . A survey of non-orthogonal multiple access for 5G [J ] . IEEE Communications Surveys & Tutorials , 2018 , 20 ( 3 ): 2294 - 2323 .

DAI L , WANG B , YUAN Y , et al . Non-orthogonal multiple access for 5G: solutions, challenges, opportunities, and future research trends [J ] . IEEE Communications Magazine , 2015 , 53 ( 9 ): 74 - 81 .

WANG X S , WANG G T , HE L Z , et al . Outage analysis for downlink NOMA with statistical channel state information [J ] . IEEE Wireless Communications Letters , 2018 , 7 ( 2 ): 142 - 145 .

MAHADY I A , BEDEER E , IKKI S , et al . Sum-rate maximization of NOMA systems under imperfect successive interference cancellation [J ] . IEEE Communications Letters , 2019 , 23 ( 3 ): 474 - 477 .

WANG Q , GE J , LI Q , et al . Performance analysis of NOMA for multiple-antenna relaying networks with energy harvesting over Nakagami-m fading channels [C ] // Proceedings of the 2017 IEEE/CIC International Conference on Communications in China (ICCC) . Piscataway : IEEE , 2017 : 1 - 5 .

DO T N , DA COSTA D B , DUONG T Q , et al . Improving the performance of cell-edge users in MISO-NOMA systems using TAS and SWIPT-based cooperative transmissions [J ] . IEEE Transactions on Green Communications and Networking , 2017 , 2 ( 1 ): 49 - 62 .

UMAKOGLU I , NAMDAR M , BASGUMUS A , et al . BER performance comparison of AF and DF assisted relay selection schemes in cooperative NOMA systems [C ] // Proceedings of the 2021 IEEE International Black Sea Conference on Communications and Networking . Piscataway : IEEE , 2021 : 1 - 6 .

LIAU Q Y , LEOW C Y . Successive user relaying in cooperative NOMA system [J ] . IEEE Wireless Communications Letters , 2019 , 8 ( 3 ): 921 - 924 .

CHEN J , YANG L , ALOUINI M S . Physical layer security for cooperative NOMA systems [J ] . IEEE Transactions on Vehicular Technology , 2018 , 67 ( 5 ): 4645 - 4649 .

CUONG N L , HOANG T M , PHUONG N T , et al . Analysis of secrecy outage performance for full duplex NOMA relay systems with appearance of multiple eavesdroppers [J ] . Wireless Networks , 2022 , 28 ( 7 ): 3157 - 3172 .

丁一凡 , 李光球 , 李辉 . 窃听者随机分布 SWIPT-NOMA 系统的物理层安全 [J ] . 电信科学 , 2022 , 38 ( 3 ): 133 - 142 .

DING Y F , LI G Q , LI H . Physical layer security of SWIPT-NOMA systems with randomly distributed eavesdroppers [J ] . Telecommunications Science , 2022 , 38 ( 3 ): 133 - 142 .

LEI H , ZHANG H , ANSARI I S , et al . On secrecy outage of relay selection in underlay cognitive radio networks over Nakagami-m fading channels [J ] . IEEE Transactions on Cognitive Communications and Networking , 2017 , 3 ( 4 ): 614 - 627 .

JAISWAL N , PANDEY A , YADAV S , et al . Physical layer security performance of NOMA-aided vehicular communications over Nakagami-m time-selective fading channels with channel estimation errors [J ] . IEEE Open Journal of Vehicular Technology , 2022 , 4 : 72 - 100 .

YU C , KO H L , PENG X , et al . Secrecy outage performance analysis for cooperative NOMA over Nakagami-m channel [J ] . IEEE Access , 2019 , 7 : 79866 - 79876 .

KIM S W . Modify-and-forward for securing cooperative relay communications [J ] . arXiv preprint , 2014 , arXiv: 1403.6555 , 2014.

张延良 , 田月华 , 李兴旺 , 等 . 基于MF协议的协作 NOMA 系统物理层安全性能研究 [J ] . 电子与信息学报 , 2023 , 45 ( 4 ): 1211 - 1218 .

ZHANG Y L , TIAN Y H , LI X W , et al . Research on physical layer security performance of cooperative NOMA system based on MF protocol [J ] . Journal of Electronics and Information , 2023 , 45 ( 4 ): 1211 - 1218 .

罗延翠 , 李光球 , 叶明珠 , 等 . 中继选择 NOMA 系统的物理层安全 [J ] . 电信科学 , 2024 , 40 ( 3 ): 116 - 127 .

LUO Y C , LI G Q , YE M Z , et al . Physical layer security of relay selection NOMA wireless systems [J ] . Telecommunication Science , 2024 , 40 ( 3 ): 116 - 127 .

HUANG G J , SHENG X , LIU H L , et al . Effective capacity analysis of NOMA with transceiver hardware and SIC imperfections [J ] . Physical Communication , 2023 , 58 : 1 - 8 .

LI M , SELIM B , MUHAIDAT S , et al . Effects of residual hardware impairments on secure NOMA-based cooperative systems [J ] . IEEE Access , 2019 , 8 : 2524 - 2536 .

XU G , ZHAO Z , SONG Z , et al . Symbol error analysis for integrated satellite-terrestrial relay networks with non-orthogonal multiple access under hardware impairments [J ] . IEEE Transactions on Wireless Communications , 2024 , 23 ( 10 ): 12980 - 12994 .

DING F , WANG H , ZHANG S , et al . Impact of residual hardware impairments on non-orthogonal multiple access based amplify-and-forward relaying networks [J ] . IEEE Access , 2018 , 6 : 15117 - 15131 .

PENG H , QI H , LI X , et al . Hardware impaired modify-and-forward relaying with relay selection: reliability and security [J ] . Physical Communication , 2021 , 46 : 1 - 10 .

李美玲 , 陈琴 , 杨晓霞 , 等 . 非理想硬件条件下协作NOMA系统安全中断性能研究 [J ] . 电子学报 , 2021 , 49 ( 7 ): 1354 - 1362 .

LI M L , CHEN Q , YANG X X , et al . Research on the secure outage performance of cooperative NOMA systems under non-ideal hardware conditions [J ] . Acta Electronica Sinica , 2021 , 49 ( 7 ): 1354 - 1362 .

PHU T T , TRAN T D . Analysis of probability of non-zero secrecy capacity for multi-hop networks in presence of hardware impairments over Nakagami-m fading channels [J ] . Radio Engineering , 2016 , 25 ( 4 ).

李光球 . Nakagami 衰落信道上组合 SC／MRC 的性能分析 [J ] . 电波科学学报 , 2007 , 22 ( 2 ): 187 - 191 .

LI G Q . Performance analysis of combined SC/MRC over Nakagami fading channels [J ] . Journal of Radio Science , 2007 , 22 ( 2 ): 187 - 191 .

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