Abstract
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.
Highlights
Past decades have witnessed the rapid development of sensor technology, a large number of tiny, low-powered sensors consist of wireless sensor networks (WSNs), in which sensors communicate with each other over multihop wireless links for monitoring the region of interest.Many applications of WSNs need the surveillance, location and positioning being executed by directional sensor nodes, for example, camera sensors, multimedia sensors, infrared sensors, ultrasonic sensors, and radar sensors in the interested region
We focus on non-orientation directional sensor network in which the orientations of the sensors are random and propose an approach to compute the critical density for sensing coverage and network connectivity in such directional sensor networks for the sum of field-of-view angles of two collaborating sensors being p through continuum percolation
We introduce a model on percolation in such networks solving sensing coverage and network connectivity problems together
Summary
Past decades have witnessed the rapid development of sensor technology, a large number of tiny, low-powered sensors consist of wireless sensor networks (WSNs), in which sensors communicate with each other over multihop wireless links for monitoring the region of interest. To sense a region of interest by selecting an optimal field-of-view angle and achieve the sensed data from sink, it is necessary that both sensing coverage and network connectivity be maintained in directional sensor networks. The size of covered area increases with the deployment of directional sensors, at some moment, a single large covered area spans the entire network from small fragmented covered areas, which is called the sensing coverage phase transition (SCPT). We focus on non-orientation directional sensor network in which the orientations of the sensors are random and propose an approach to compute the critical density for sensing coverage and network connectivity in such directional sensor networks for the sum of field-of-view angles of two collaborating sensors being p through continuum percolation.
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