移动环境下的路径分布模型

A Statistical Model for Multi-paths Distribution under Mobile Environment

通过引入路径到达和路径持续两个随机过程 ,推导出移动环境下的路径分布函数。当最大路径数趋于无穷大时 ,路径服从包含平均路径到达率和路径平均持续时间两个参数的泊松分布。标准泊松模型与测量结果之间存在较大偏差 ,根据路径到达率与已接收路径数成反比 ,而路径持续时间与已接收路径数成正比 ,作者对泊松模型进行了修正 ,数值结果表明修正模型与实际测量结果一致性较好。

This paper presents the distribution function of multi paths by use of two stochastic processes. The first process which is a Poisson process presents the paths occurring, and the second one which is an exponential process presents the paths standing. If the maximal paths are infinite, the Poisson distribution can be concluded. The notable error exists between the Poisson model and the measurement result. So the Poisson model is modified depending on the fact that the arrival rate decreases and the standing time get longer with the increase of arrived paths. The numeric results verify the consistence between the modified model and measurement.