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工程科学与技术:2021,53(3):180-187
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基于统计信道状态信息的多波束卫星系统安全波束成形设计
(1.南京邮电大学 通信与信息工程学院,江苏 南京 210003;2.国防科技大学 电子对抗学院,安徽 合肥 230037)
Secure Beamforming Design for Multi-beam Satellite Systems Based on Statistical Channel State Information
(1.College of Telecommunications and Info. Eng., Nanjing Univ. of Posts and Telecommunications, Nanjing 210003, China;2.Inst. of Electronic Countermeasure, National Univ. of Defense Technol., Hefei 230037, China)
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投稿时间:2020-07-09    修订日期:2021-02-18
中文摘要: 由于卫星通信的广域覆盖特性和信道的广播特性,使得通信过程存在被窃听的风险。为增强多窃听场景下多波束卫星通信系统的安全性,在已知统计信道状态信息条件下,本文分别针对总发射功率最小化和安全速率最大化问题,提出了相应的波束成形(beamforming,BF)方案。首先,以安全速率为约束建立总发射功率最小化问题,通过拉格朗日乘数法推导出最优BF权矢量的解析表达式;然后,以安全速率最大化为准则,分别建立了以总发射功率受限和单波束发射功率受限的优化问题。针对总功率约束下的优化问题,根据广义瑞利熵方法求出最优BF权矢量的解析表达式;针对单波束发射功率约束下的优化问题,通过引用辅助变量将非凸优化问题转换为凸优化问题,进而提出了一种基于黄金分割法的BF算法以计算出最优BF权矢量。最后,通过计算机仿真验证了所提方案的有效性与正确性,并进一步分析了系统参数对安全性能的影响。与传统的BF方案相比,所提BF方案能更好地抑制窃听过程,从而获得更高的安全性能。
Abstract:In order to enhance the security of multi-beam satellite communication system with multiple eavesdroppers, under the condition of available statistical channel state information, two beamforming (BF) schemes respectively for minimizing the total transmit power and maximizing the secrecy rate were proposed. Firstly, an optimization problem was formulated to minimize the satellite total transmit power while satisfying the secrecy rate requirement, and the analytical expression of optimal BF weight vector was obtained by adopting the Lagrange multiplier method. Then, two optimization problems were established to maximize secrecy rate with the constraint of total transmit power and per-antenna power budget, respectively. For the total transmit power constraint, the analytic expression of optimal BF weight vector was obtained by using generalized Rayleigh quotient method. For the per-antenna power constraint, the non-convex problem was converted into a convex one by introducing auxiliary variable, and further an iterative golden section-based algorithm was proposed to obtain the optimal BF weight vectors. Finally, the simulation results confirmed the effectiveness and validity of the proposed BF schemes. Meanwhile, the effect of the system parameters on the security performance was also analyzed. Compared to the traditional BF schemes, the proposed three BF schemes can obtain better secrecy performance.
文章编号:202000563     中图分类号:TN927.2    文献标志码:
基金项目:国家自然科学基金重点国际合作项目(61720106003);国家自然科学基金项目(61801234);基础加强计划技术领域基金项目(2019-JCJQ-JJ-226);上海航天科技创新基金项目(SAST2019-095);南京邮电大学引进人才科研启动基金项目(NY220111);江苏省研究生科研与实践创新计划项目(SJCX19_0238)
作者简介:第一作者:林敏(1972-),男,教授.研究方向:无线通信系统;智能信号处理;天线新技术等.E-mail:linmin@njupt.edu.cn;通信作者:解路瑶,E-mail:18895355968@163.com
引用文本:
林敏,解路瑶,顾晨伟,林志,汪萧萧,欧阳键.基于统计信道状态信息的多波束卫星系统安全波束成形设计[J].工程科学与技术,2021,53(3):180-187.
LIN Min,XIE Luyao,GU Chenwei,LIN Zhi,WANG Xiaoxiao,OUYANG Jian.Secure Beamforming Design for Multi-beam Satellite Systems Based on Statistical Channel State Information[J].Advanced Engineering Sciences,2021,53(3):180-187.