Both coverage and connectivity are important problems in wireless sensor networks. As more and more non-orientation sensors are continuously added into the region of interest, the size of covered component and connected component increases; at some point, the network can achieve an entire coverage and full connectivity after which the network percolates. In this article, we analyze the critical density in non-orientation directional sensor network in which the orientations of the sensors are random and the sensors are deployed according to the Poisson point process. We propose an approach to compute the critical density in such a network. A collaborating path is proposed with the sum of field-of-view angles of two collaborating sensors being π. Then a correlated model of non-orientation directional sensing sectors for percolation is proposed to solve the coverage and connectivity problems together. The numerical simulations confirm that percolation occurs on the estimated critical densities. It is worth mentioning that the theoretical analysis and simulation results give insights into the design of directional sensor network in practice.

中文翻译：

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非定向定向传感器网络中覆盖和连接的临界密度

覆盖和连通性都是无线传感器网络中的重要问题。随着越来越多的无方向传感器不断加入感兴趣的区域，覆盖组件和连接组件的尺寸增加；在某些时候，网络可以实现全覆盖和全连接，然后网络渗透。在本文中，我们分析了传感器的方向是随机的并且根据泊松点过程部署传感器的无定向定向传感器网络中的临界密度。我们提出了一种计算这种网络中临界密度的方法。提出了一条协作路径，其中两个协作传感器的视场角之和为π。然后提出了一种用于渗透的非定向定向感知扇区的相关模型，以解决覆盖和连通性问题。数值模拟证实在估计的临界密度上发生了渗透。值得一提的是，理论分析和仿真结果为实际方向传感器网络的设计提供了见解。