基于随机几何的大规模无线传感器网络点平均干扰研究

摘要

针对无线传感器网络中的干扰问题，从节点随机分布出发，分别对在单个正六边形和相邻两个正六边形内的节点随机分布进行网络点平均干扰和网络加权点平均干扰的研究，推导和计算网络点平均干扰函数；同时考虑节点之间的通信概率，提出网络加权点平均干扰的计算方法，并利用蒙特卡洛法对这两种干扰计算方法进行仿真，获得边长与点平均干扰的函数关系式。仿真结果表明，网络点平均干扰函数与理论计算公式较为吻合，所提出的网络加权点平均干扰函数更符合实际的网络干扰情况。两种干扰计算方法为估算大规模网络干扰提供了理论和现实依据。%For the interference problem in WSNs ,this article embarks from the random distribution of sensor nodes , and researches the interference in a single regular hexagon and two adjacent regular hexagon .Finally ,point average interfer‐ence function is derived and calculated .Meanwhile ,considering the communication probability of nodes ,weighted point aver‐age interference function is put forward .And the two calculation methods of interference are simulated by using Monte Carlo method .The simulation results show that the point average interference simulation function is consistent with theoretical cal ‐culation ,and weighted point average interference function matches the actual network better .These two calculation methods of interference for estimating the large‐scale network interference provide theoretical and practical basis .