王小旗, 侯争, 张捍卫 ,等.多卫星的星地混合协作网物理层安全性能分析[J].河南理工大学学报（自然科学版）,2024,43(3):81-90.

WANG X Q , HOU Z , ZHANG H W , et al.Analysis of physical layer security performance of multi-satellite hybrid satellite-terrestrial relay network[J].Journal of Henan Polytechnic University(Natural Science) ,2024,43(3):81-90.

多卫星的星地混合协作网物理层安全性能分析

王小旗1, 侯争2, 张捍卫3, 施闯4

1.河南理工大学 物理与电子信息学院，河南 焦作  454000 2.河南理工大学 测绘与国土信息工程学院，河南 焦作  454000 3.河南理工大学 资源环境学院，河南 焦作  454000 4.北京航空航天大学 电子信息工程学院，北京  100191

摘要:卫星通信因传输质量好、覆盖范围广、作用距离远等优点，在侦察、广播、预警、资源勘探、地形测绘等领域具有广阔的应用前景， 目的 针对其安全性问题，   方法  将多输入多输出（multiple-input-multiple-output，MIMO）技术应用于卫星中继系统中，构建多卫星的星地混合协作网（hybrid satellite-terrestrial relay network，HSTRN），并对其物理层安全性能进行研究。中继采用放大转发（amplify-and-forward，AF）协议或译码转发（decode-and-forward，DF）协议，卫星链路服从阴影莱斯（shadowed-Rician）分布，地面链路和窃听链路服从瑞利（Rayleigh）分布，推导基于AF和DF中继的系统安全中断概率的理论表达式，以及高信噪比条件下安全中断概率的近似表达和系统吞吐量，并用计算机仿真实验验证理论分析的正确性。   结果  结果表明：增加卫星个数、减轻信道衰落有助于增强系统的安全性能；低信噪比情况下，基于DF中继的系统安全性能优于AF中继系统的，随着信噪比增加，两者逐渐趋于一致；信道衰落的改善和高信噪比将产生较大的系统吞吐量。   结论  卫星个数、安全速率阈值、信道衰落程度等参数对AF和DF中继HSTRN的安全性能具有重要影响，可为卫星通信物理层安全性能的后续研究提供参考。

关键词:星地混合协作网;多卫星;物理层安全;阴影莱斯衰落;安全中断概率

doi:10.16186/j.cnki.1673-9787.2022030036

基金项目:国家自然科学基金资助项目（42074002，41931075）；河南省科技攻关项目（232102321004）；河南省高等学校重点科研项目（22A420005）；河南省高校基本科研业务费专项项目（NSFRF210329）；河南理工大学博士基金资助项目 （B2021-18）

收稿日期:2022/03/15

修回日期:2022/05/16

出版日期:2024/05/15

Analysis of physical layer security performance of multi-satellite hybrid satellite-terrestrial relay network

WANG Xiaoqi1, HOU Zheng2, ZHANG Hanwei3, SHI Chuang4

1.School of Physics & Electronic Information Engineering，Henan Polytechnic University，Jiaozuo  454000，Henan，China 2.School of Surveying and Land Information Engineering，Henan Polytechnic University，Jiaozuo  454000，Henan，China 3.School of Resources and Environment，Henan Polytechnic University，Jiaozuo  454000，Henan，China 4.Electronic Information Engineering，Beihang University，Beijing  100191，China

Abstract:Satellite communication has shown broad application prospects in various scenarios such as reconnaissance，broadcasting，early warning，resources exploration，topographic mapping due to its advantages of high transmission quality，long transmission distance and wide coverage.   Objectives  To address the security problem，   Methods  multiple-input-multiple-output （MIMO） technology is applied to the satellite relay system，a hybrid satellite-terrestrial relay network（HSTRN） with multiple satellites is constructed，and the physical layer security performance is studied in this paper.The relay is adopted either amplify-and-forward（AF） or decode-and-forward（DF） protocol to assist the transmission.The satellite link follows shadowed-Rician distribution，while terrestrial link and eavesdropper link follows Rayleigh distribution.The the theoretical expressions of the system security outage probability（SOP）based on AF and DF relay are derived，as well as approximate expression and the system throughput under high signal-to-noise ratio conditions，the correctness of the theoretical analysis through computer simulation experiments is also verified.   Results  The results showed that，the security performance of the considered network gets better with the increase of the number of the satellites，and the decrease of the severity of the channel fading scenario；the security performance of the system based on the DF relaying is better than AF at low SNR region，while they will get increasingly consistent at high SNR region；the improvement of the channel fading scenario and high SNR can result in high throughput of the system.   Conclusions  The satellite number，security rate threshold，the channel fading degree and other parameters have great impact on the security performance of AF and DF HSTRN，which can provide reference for subsequent research on the security performance of satellite communication physical layer.  

Key words:hybrid satellite-terrestrial relay network;multi-satellite;physical layer security;shadowed-Rician fading;security outage probability