Path Coverage Property of Randomly Deployed Sensor Networks with Finite Communication Ranges
Junko Harada, Shigeo Shioda, Hiroshi Saitō · 2008
We analyze the path coverage property of a sensor network, where a large number of sensors are randomly deployed. We characterize the path coverage in terms of three metrics:fractionofcoverage,probabilityofcompletecoverage,andprobabilityofpartialcoverage. We derive the expressions for the three coverage metrics as functions of the sensor density, the sensing range of a sensor, and the communication range of a sensor. Based on the derived expressions, we study the impact of the communication range on the path coverage and, for example, show that a sensor should have a long wireless-communication range to obtain large detectability of intruding objects (partial coverage probability of the trajectories of objects) with modest density of sensors.