Spherical Statistics and Spatial Correlation for Multielement Antenna Systems
Spherical Statistics and Spatial Correlation for Multielement Antenna Systems
复制标题
多元件天线系统的球面统计和空间相关性
DOI：
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发表时间：
2010
影响因子：
2.6
通讯作者：
R. Stewart
中科院分区：
文献类型：
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作者：
K. Mammasis;R. Stewart
研究了水平平面波传播的著名假设，证据表明，仰角在定义相邻天线阵单元上的信号之间的空间相关性方面起着关键作用。为了补充以前发表的研究，建立了散射体在三维空间中的分布与空间相关性之间的显式关系。采用一种新的方法来模拟散射体在空间中的分布。更具体地说，散射体的分布由3D冯·米塞斯-费舍尔(VMF)分布来建模。此外，还导出了vmf密度的调和系数的闭合表达式。主导数表示与球面上任意平均方向有关的球面调和系数。进一步，基于平面波的球谐展开(SHE)和展开的VMF密度的调和系数，导出了空间相关函数(SCF)的闭合表达式。提出了一种在SCF中考虑定向天线响应影响的新方法。最后，在信道中存在多个散射体簇的情况下对SCF进行了评估。
The well-known assumption of horizontal plane wave propagation is investigated and evidence suggests that elevation plays a crucial role in defining the spatial correlation between signals on adjacent antenna array elements. To augment previously published studies, an explicit relationship between the distribution of scatterers in three-dimensional (3D) space and the spatial correlation is formulated. A novel approach is taken for modeling of the distribution of scatterers in space. More specifically, the distribution of scatterers is modeled by the 3D von Mises-Fisher (vMF) distribution. In addition, a closed-form expression is derived for the harmonic coefficients of the vMF density. The main derivation expresses the spherical harmonic coefficients associated with an arbitrary mean direction on the sphere. Further, a closed-form expression for the spatial correlation function (SCF) is derived, based on the spherical harmonic expansion (SHE) of plane waves as well as the harmonic coefficients of the expanded vMF density. A novel approach is proposed for including the effect of directional antenna responses in the SCF. Finally, the SCF is evaluated under the existence of multiple scatterer clusters in the channel.