三维空间域VMF分布模型的多天线系统性能

第47卷第3期系杳大学学板（自然科学版）Vol.47 N o.3 2017 年 5 月JOURNAL OF SOUTHEAST UNIVERSITY (Natural Science Edition) May 2017 DOI：10. 3969/j. issn. 1001 -0505.2017. 03.004

三维空间域V M F分布模型的多天线系统性能

周杰1’2朱慧娟1菊池久和2

C1南京信息工程大学江苏省气象探测与信息处理重点实验室，南京210044)

(2国立新泻大学电气工程系，日本新潟950-2181)

摘要：针对城市移动通信环境，提出了散射体各向异性分布的VM F分布模型.在室外宏小区的移 动通信环境下引入散射体群的概念，并结合M IM O多天线Y型阵列（UYA)和圆形阵列（UCA)拓扑结构，使得模型能够估计多径衰落信道的重要信道参数，如UY A和U C A的空间衰落相关函数 (SFC)、衰落信道模型的信道容量及多天线阵列U Y A和U C A对平均佘炜的敏感度等，并延伸了 SFC在求解信道协方差矩阵的应用.结果表明:M IM O多天线系统的性能不仅取决于天线阵列阵元 间距，还与到达角度有关；所提模型的信道参数估计结果适用于实际的城市移动通信环境.针对 UYA和U C A的SFC和信道容量研究，拓展了 VM F分布模型在三维空间域移动通信领域的应用，对M IM O多天线阵列的信道参数评估和无线通信系统仿真提供了有力的工具.

关键词：V M F分布模型；散射体群;集中参数；空间衰落相关函数；多入多出

中图分类号：TN911.6 文献标志码：A 文章编号：1001 -0505(2017)03-0438-06

M ulti-antenna system performance of VMF distribution model

based on three-dimensional space

Zhou Jie1,2Zhu Huijuan1Hisakazu Kikuchi2

(1 Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information

Science and Technology, Nanjing 210044, China)

(2Department of Electronic and Electrical Engineering,Niigata University, Niigata 950-2181, Japan) Abstract ：As for the mobile communication environment in the city, the von Mises Fisher (VMF) distribution model for a scatterer with anisotropic distribution was proposed. The concept of the scat­tering cluster was introduced into the mobile communication environment of outdoor macrocells. Based on the multiple-input and multiple-output (MIMO) uniform Y array (UYA) and the uniform circular array (UCA) topology, the VMF distribution model can estimate the important channel parameters of multipath fading channels, such as the spatial fading correlation function (SFC) of UYA and UCA, the channel capacity of the fading channel model, the sensitivity of the multi-antenna array of UYA and UCA to the mean colatitude of arrival and so on. The application of SFC in solving the channel covariance matrix is extended. The results show that the performance of the MIMO multi-antenna sys­tem depends on the antenna array element spacing and the angle of arrival. The parameter estimation results of the proposed model are suitable for the realistic city mobile communication environments.

The study of SFC and the channel capacity of UYA and UCA expands the application of the VMF dis­tribution model in three-dimensional space domain in the field of mobile communication, and provides

a powerful tool for the evaluation of the channel parameters of the MIMO multi-antenna array and the

simulation of wireless communication systems

Key words：von Mises Fisher(VMF) distribution model；scatter cluster；concentration parameter；

spatial fading correlation function (SFC) ；multiple-input and multiple-output(MIMO) *43

收稿日期：2016-09-30.作者简介：周杰（1964—），男，博士，教授，博士生导师，zhonjie45@.

基金项目：国家自然科学基金面上资助项目（61471153 )、江苏省高校自然科学基金重大资助项目（14KJA510001)、江苏省信息与通信工程 优势学科建设资助项目.

引用本文：周杰，朱慧娟，菊池久和.三维空间域V M F分布模型的多天线系统性能[J].东南大学学报（自然科学版），2017,47(3):438-443. DOI： 10.3969/j. issn. 1001 -0505.2017.03.004.