Research On Connectivity Of Wireless Sensor Networks Based On Percolation Theory

Wireless Sensor Network(WSN)is composed of a large number of Sensor nodes,which is randomly distributed.Some areas are not covered by sensor nodes and the network is disconnected.In some areas,the high-density aggregation of sensor nodes lead to a large number of redundant sensor nodes,resulting in the waste of energy and resource.Therefore,network coverage connectivity plays a particularly important role in WSN.In this paper,we studied the coverage connectivity of WSN.The innovative contents of this paper are as follows:1)Based on the continuous seepage theory,the connectivity and coverage model of the heterogeneous network with the sum of the directional perception angle is2? is constructed to study the connectivity of the heterogeneous network with directional transmission.This model studies the influence of directional sensing angle on the connectivity of heterogeneous directional sensing networks by calculating the exclusion area of heterogeneous coverage models.Simulation results show that in the heterogeneous directional sensor network with directional transmission,the increase of directional perception angle can reduce the number of deployed nodes to maintain the connectivity of the whole network.2)A heterogeneous model based on the undirected percolation theory is established in the case where the sensing direction is random and the sum of the sensing angles is ?.The coverage circle model is obtained by the synergy between the nodes,and the diameter(7)rl ?,(8)of the coverage circle is calculated.Based on this,the network connectivity when k-coverage occurs is studied.Simulation experiment shows that when k(28)2,the heterogeneous undirected model can produce critical percolation.Moreover,the critical percolation density increases with the increase of node perception angle,and the minimum number of nodes is obtained when the whole network is connected.3)Based on cellular network and sleep scheduling,a directional sleep scheduling model of cellular rotation orientation is established.The direction with the nearest transmission and the largest coverage area can be obtainedthrough the selection of the sensor nodes perceived direction.On this basis,the direction sleep scheduling can make some nodes sleep and extend the service life of the network under the condition of ensuring the full coverage and connection.In this model,compared with the traditional particle swarm optimization,the number of nodes and energy consumption used in the transmission path under the new model are obtained,and the new model are both lower than those under the particle swarm optimization.Under the condition of ensuring the coverage and connectivity of the target region,the three models reduce the number of nodes deployed,the percolation density of nodes and the energy consumption of nodes have led to a reduction in the total network.