A random walk model of wave propagation
A random walk model of wave propagation
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DOI：
10.1109/tap.2004.827540
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发表时间：
2004-05-01
影响因子：
5.7
通讯作者：
Schulman, LJ
中科院分区：
文献类型：
--
作者：
Franceschetti, M;Bruck, J;Schulman, LJ
本文表明，通过基于随机游走理论的简单随机模型，可以对小型城市小区中的传播损耗进行相当准确的描述，该模型仅考虑两个参数：杂波量和环境中的吸收量。尽管模型进行了简化，但导出的解析解正确地描述了功率衰减从与发射机距离的平方反比定律到随着距离增加而呈指数衰减的平滑过渡（正如在实践中观察到的那样）。我们的分析建议使用简单的指数路径损耗公式作为经常用于预测的经验公式的替代方案。通过与在小型城市细胞中收集的实验数据进行比较来验证结果。
This paper shows that a reasonably accurate description of propagation loss in small urban cells can be obtained with a simple stochastic model based on the theory of random walks, that accounts for only two parameters: the amount of clutter and the amount of absorption in the environment. Despite the simplifications of the model, the derived analytical solution correctly describes the smooth transition of power attenuation from an inverse square law with the distance to the transmitter, to an exponential attenuation as this distance is increased-as it is observed in practice. Our analysis suggests using a simple exponential path loss formula as an alternative to the empirical formulas that are often used for prediction. Results are validated by comparison with experimental data collected in a small urban cell.