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Average Instantaneous, Unimodal and Multimodal Scattering Responses in Spatial Gaussian Channels

机译:空间高斯通道中的平均瞬时,单峰和多峰散射响应

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摘要

The long-standing problem of identifying the scattering mechanism that triggers the observance of a heavytailed power azimuth spectrum is underdertaken using a geometrybased stochastic approach. More specifically, the unimodal power azimuth spectrum (PAS) and joint power angular scattering response (PASR) are derived under the 2-D Gaussian scattering model. At first, it is formally shown that, under free-spacepropagation, a Gaussian scatter distribution in 2-D space gives rise to an angular power spectrum that may be well modeled by the Gaussian function. Numerical results are presented for higher path-loss exponents, where it is shown that heavy-tailed functions such as the Lorentzian and Laplacian functions provide good fits to the derived spectrum. To complement earlier research works in this area, a recently introduced geometry-based stochastic model is extended in order to express the instantaneous multimodal PASR, which significantly contributes to the estimated correlation statistics as shown in the paper. The 2-D spatial channel model developed herein, allows the distance from the observation point to vary, which enhances the validity of the derived PAS and PASR. Statistical results are provided for various distances from the observation point in order to facilitate any potential practical use of the derived 2-D model. Finally, an analytical expression for the correlation experienced between two antenna patterns is derived under the proposed model.
机译:使用基于几何的随机方法来解决识别触发重尾功率方位角频谱的散射机制的长期存在的问题。更具体地说,单峰功率方位角频谱(PAS)和联合功率角散射响应(PASR)是在二维高斯散射模型下得出的。首先,正式表明,在自由空间传播下,二维空间中的高斯散射分布会产生一个角功率谱,该角功率谱可以通过高斯函数很好地建模。给出了较高路径损耗指数的数值结果,其中表明,诸如Lorentzian和Laplacian函数之类的重尾函数可以很好地拟合导出的频谱。为了补充该领域的早期研究工作,扩展了最近引入的基于几何的随机模型,以表示瞬时多峰PASR,这对论文中所示的估计相关统计量有很大贡献。本文开发的二维空间通道模型允许距离观察点的距离变化,从而增强了派生的PAS和PASR的有效性。提供了距观察点各种距离的统计结果,以便于对导出的2D模型进行任何潜在的实际使用。最后,在所提出的模型下,导出了两个天线方向图之间相关性的解析表达式。

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