中断约束下的星空认知网络分布式鲁棒波束成形算法  

Robust Distributed Beamforming for Cognitive Satellite and Aerial Networks Under Outage Constraints

作　　者：林敏[1] 徐启钊 王子宁 郭焱 程铭 LIN Min;XU Qi-zhao;WANG Zi-ning;GUO Yan;CHENG Ming(College of Telecommunications and Information Engineering,Nanjing University of Posts and Telecommunications,Nanjing,Jiangsu 210003,China)

机构地区：[1]南京邮电大学通信与信息工程学院,江苏南京210003

出　　处：《电子学报》2023年第6期1666-1676,共11页Acta Electronica Sinica

基　　金：重点国际合作项目(No.61720106003);南京邮电大学引进人才科研启动项目(No.NY220111);江苏省研究生创新计划(No.KYCX22_0959)。

摘　　要：针对卫星通信网和无人机通信网共享频谱资源构成的星空认知网络,提出了一种基于用户非完美信道状态信息的分布式鲁棒波束成形算法,以提升网络的频谱效率和传输可靠性.在所有信道误差均服从复高斯分布的条件下,建立以总的发射功率最小化为目标函数,以用户信干噪比中断概率约束满足要求为约束的联合优化问题.通过引入松弛变量,将非凸的联合优化问题转换成两个独立的分布式优化问题,并进一步提出利用舒尔补和拉格朗日对偶的迭代算法得到卫星和无人机网络的波束成形权矢量.计算机仿真验证了所提算法的有效性和优越性.Based on the available imperfect channel state information(CSI),this paper proposes a robust distributed beamforming(BF)approach to improve the spectral efficiency and transmission reliability for a cognitive satellite and aerial network(CSAN),where a satellite network shares the radio spectrum with an aerial network.Under the assumption that all the channel errors obey complex Gaussian distribution,a joint optimization problem is mathematically set up to minimize the total transmit power subject to the outage constraints of users'signal interference noise ratios(SINRs).By introducing the slack variables,we transform the original mathematically intractable problem into two distributed problems for satellite and UAV networks,respectively.Then we exploit Shur complement and propose an iterative algorithm joint with Lagrang⁃ian duality to obtain the optimal beamforming weight vectors.Finally,numerical results are given to illustrate the effective⁃ness and superiority of the proposed BF scheme.

关 键 词：星空认知网络 分布式优化 鲁棒波束成形 拉格朗日对偶 

分 类 号：TN92[电子电信—通信与信息系统]