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三维空间多天线相关性及互耦影响研究
引用本文:薛翠薇,朱秋明,杨颖,陈小敏,廖志忠. 三维空间多天线相关性及互耦影响研究[J]. 电波科学学报, 2017, 32(1): 50-57. DOI: 10.13443/j.cjors.2016040601
作者姓名:薛翠薇  朱秋明  杨颖  陈小敏  廖志忠
作者单位:1.南京航空航天大学 江苏省物联网与控制技术重点实验室, 南京 211100
基金项目:国家自然科学基金,江苏省博士后基金,中央高校基本科研业务费青年科技创新基金,江苏省物联网与控制技术重点实验室基金
摘    要:针对三维传播环境下多天线系统空域相关性评估问题,首先将达波信号二维角度谱建模为更为通用的von Mises-Fisher(vMF)分布,并推导了不同阵列流型天线空域相关系数的解析式和近似表达式;然后分析互耦机理及其对接收信号矢量的影响,据此推导了互耦效应下天线空域相关性的闭式表达式,并给出了存在互耦的相关性与无互耦相关性之间的内在关系.仿真结果表明,本文推导的天线相关性表达式与数值计算结果非常吻合.另外,小角度扩展时,考虑互耦效应的天线空域相关曲线围绕着无互耦时的相关性曲线上下波动,且面型阵列具有更好的抗互耦能力.

关 键 词:阵列流型   空间相关性   互耦效应   von Mises-Fisher分布
收稿时间:2016-04-06

On spatial correlation and effect of mutual coupling for multiple antennas under 3D environment
Affiliation:1.Jiangsu Key Laboratory of Internet of Things and Control Technologies, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China2.China Airborne Missile Academy, Luoyang 471009, China3.School of Engineering & Physical Sciences, Heriot-Watt University, Edinburgh EH144AS, UK
Abstract:For evaluating the spatial correlation(SC) of multiple antennas under three-dimensional(3D) environment, the power angle spectrum of arrival signal is modeled as von Mises-Fisher (vMF) distributions on the sphere coordinate.On this basis, a closed-form expression and an approximate expression of SC for different multiple antenna arrays are derived.The mutual coupling (MC) and its impact on the received signal vector are analyzed, and the general expressions of SC with MC is derived.Simulation results validate that the proposed analytical expressions consistent with the numerical ones.In addition, spatial correlation coefficient with MC waves around the one without MC when the angle spread is small and the uniform rectangular array has the least effect caused by MC.
Keywords:array manifold  spatial correlation  mutual coupling  von Mises-Fisher distribution
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