Physical layer security of relay selection MF wireless systems over Nakagami fading channels

Zhang Yajuan; Li Guangqiu; Gao Jie; Zhang Xu; Wang Zhikang

doi:10.11959/j.issn.1000-0801.2026096

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Physical layer security of relay selection MF wireless systems over Nakagami fading channels

Research and Development | 更新时间：2026-03-31

- Physical layer security of relay selection MF wireless systems over Nakagami fading channels
- Telecommunications Science Vol. 42, Pages: 1-14(2026)
- 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.1000-0801.2026096
  CLC： TN918.1
- Received：2025，
  
  Revised：2025-11-28，
  
  Accepted：01 December 2025，
  
  Online First：30 March 2026，
  
  Published：20 April 2026
- 稿件说明：
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张亚娟,李光球,高杰等.Nakagami衰落信道上中继选择MF无线系统的物理层安全[J].电信科学,

Zhang Yajuan,Li Guangqiu,Gao Jie,et al.Physical layer security of relay selection MF wireless systems over Nakagami fading channels[J].Telecommunications Science,
张亚娟,李光球,高杰等.Nakagami衰落信道上中继选择MF无线系统的物理层安全[J].电信科学, DOI：10.11959/j.issn.1000−0801.2026096.

Zhang Yajuan,Li Guangqiu,Gao Jie,et al.Physical layer security of relay selection MF wireless systems over Nakagami fading channels[J].Telecommunications Science, DOI：10.11959/j.issn.1000−0801.2026096.

摘要

针对现有修改转发（modify and forward，MF）无线系统物理层安全（physical layer security，PLS）性能较差以及信道建模的局限性问题，提出了一种Nakagami衰落信道上各节点均采用最大比合并（maximal ratio combining， MRC）分集接收的中继选择MF无线系统的PLS模型。考虑最恶劣的MRC被动合谋窃听场景，分别推导了3种中继选择方案下的安全中断概率（secrecy outage probability，SOP）、渐近SOP和非零安全容量概率（probability of non-zero secrecy capacity，PNSC）的闭合式。MF无线系统的仿真结果验证了理论分析的正确性，同时表明，对于相同的中继选择方案，MF无线系统的SOP和PNSC性能优于对应的解码转发无线系统；中继选择方案1的安全分集增益为中继节点数、中继节点的接收天线数、源至中继链路的衰落系数3者之积；中继选择方案2、3的安全分集增益均与中继节点数、中继/目的节点上的接收天线数和源至中继、源/中继至目的链路的衰落系数有关。

Abstract

In response to the poor performance of physical layer security (PLS) in the existing modify and forward (MF) wireless systems and the limitations of their channel modeling

a PLS model for relay selection MF wireless systems with maximal ratio combining (MRC) diversity reception at all nodes over Nakagami fading channels was proposed in this paper. Considering the worst scenario of passive colluding eavesdroppers with MRC

closed form expressions for secrecy outage probability (SOP)

asymptotic SOP

and probability of non-zero secrecy capacity (PNSC) of the MF systems were derived for three relay selection schemes. The simulation results of the MF

wireless systems verify the correctness of their theoretical analysis

which also show that for the same relay selection scheme

the SOP and PNSC performance of the MF wireless systems outperform those of the corresponding decode and forward wireless systems. The results indicate that the security diversity gain of relay selection scheme I equals the product of the number of relay nodes

the number of relay receive antennas

and the fading parameter of the source-relay link

and the security diversity gains of relay selection sche

mes II and III are related to the number of relay nodes

the number of receiving antennas at the relays or destination

and the fading parameters of the source-relay

source-destination

and relay-destination links.

关键词

Keywords

references

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