矩形有限无线网络中距离和角度的联合分布

F. J. Martín-Vega, G. Gómez, D. Morales-Jiménez, F. J. López-Martínez, M. Aguayo-Torres
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引用次数: 0

摘要

本文研究了在矩形有限无线网络中随机放置的参考节点与节点之间的距离和方位角的分布。因此,我们证明了两个随机变量之间存在不可忽略的相关性,这取决于矩形的形状和参考节点的位置。为了描述这种相关性,我们导出了距离和方位角的联合分布,它被表示为少数封闭形式项的和。该表达式在定向波束形成分析中具有应用价值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Joint Distribution of Distance and Angle in Rectangular Finite Wireless Networks
In this paper, we investigate the distribution of the distance and azimuth angle between a reference node and a node randomly placed within a rectangular finite wireless network. As a result, we prove that there exists a non-negligible correlation between both random variables, that depends on the shape of the rectangle and on the location of the reference node. To characterize this dependence, we derive the joint distribution of distance and azimuth angle, which is expressed as the sum of a small number of closed-form terms. This expression has applications on the analysis of directional beamforming.
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