Research on Coverage Problems of Wireless Sensor Networks about One-dimensional Region

Monitoring the long-distance pipelines, rivers, roads and boundary lines with wireless sensor networks belongs to one-dimensional region monitoring. This paper primarily studies the coverage problems of the sensor networks in one-dimensional regions. Firstly, the onedimensional random coverage model is processed for the sensor nodes in one-dimensional monitoring region, and a formula is given to calculate the node covering probability. Secondly, the method of determining the launch radius of sensor nodes is studied, and we prove theoretically that the launch radius of node should be greater than or equal to two times of the sensing radius. Lastly, the calculation of covering number is discussed. Simulation results show that the sensing radius of the nodes significantly impacts the covering number and the node coverage probability. The result of the study can be used as the technical reference when designing a WSN in one-dimensional region.