2023年8月JournalonCommunicationsAugust2023第44卷第8期通信学报Vol.44No.8IRS多分区辅助太赫兹多子阵列波束成形设计张祖凡1，唐睿1,2（1.重庆邮电大学通信与信息工程学院，重庆400065；2.重庆移通学院通信与信息工程学院，重庆401520）摘要：在智能反射表面（IRS）辅助太赫兹（THz）通信系统中，为突破信道稀疏性对系统空间多路复用增益的限制，提出收发端采用宽间隔多子阵列混合波束成形架构，设计IRS多分区辅助THz多子阵列的传输方案。首先，基于频谱效率最大化原则，构建一个含有多变量耦合和非凸约束的非凸目标函数；然后，将优化问题解耦成2个易于求解的子问题，即IRS反射系数矩阵设计问题和收发端混合波束成形矩阵设计问题；最后，采用黎曼流形优化算法计算IRS反射系数矩阵，并通过数理推导得到混合波束成形矩阵的闭式解。仿真结果表明，与基准方案相比，所提方案可以获得更好的频谱效率。关键词：智能反射表面；两级空间多路复用；混合波束成形；黎曼流形优化中图分类号：TN92文献标志码：ADOI:10.11959/j.issn.1000−436x.2023158DesignofbeamformingforIRSmulti-partition-aidedTHzmulti-subarrayZHANGZufan1,TANGRui1,21.SchoolofCommunicationsandInformationEngineering,ChongqingUniversityofPostsandTelecommunications,Chongqing400065,China2.SchoolofCommunicationsandInformationEngineering,ChongqingCollegeofMobileCommunication,Chongqing401520,ChinaAbstract:IntheIRS-aidedTHzcommunicationsystem,inordertobreakthechannelsparsitylimitationonthesystemspatialmultiplexinggain,ahybridbeamformingarchitecturewithwide-spacedmulti-subarraysatthetransceiv-er/transmittersidewasproposedandthetransmissionschemeofIRSmulti-partition-aidedTHzmulti-subarrayswasde-signed.Firstly,anon-convexobjectivefunctionwithmultivariatecouplingandnon-convexconstraintswasconstructedbasedontheprincipleofmaximizingspectrumefficiency.Then,theoptimizationproblemwasdecoupledintotwoeasy-to-solvesub-problems,namely,thereflectioncoefficientmatrixdesignofIRSandthehybridbeamformingmatrixdesignatthetransceiver/receiver.Finally,theRiemannianmanifoldoptimizationalgorithmwasusedtocalculatetheref-lectioncoefficientmatrixofIRS,andtheclosedsolutionofthehybridbeamformingmatrixdesignatthetransceiv...
