Modeling the Critical Transmitting Range for Connectivity in Wireless Sensor Networks

The research in wireless sensor networks (WSNs)has attracted a lot of attention in recent years. Sensor nodes are often placed in a hostile or dangerous environment where they are not physically protected. Hence, sensor nodes must self-organizationally form a connected network. Additionally,Energy is a decisive resource in WSNs. So the trade-off between connectivity and power control becomes a critical problem in WSNs. In this paper we present nearest neighbor nodes of the two-dimensional WSNs with Poisson point process,which enables each node to find the 1^st (respectively, 2^nd and k^th) nearest neighbor node and adjust transmitting range according to local requirement, thereby it would contribute to the lifetime of overall network. And then we derive the analytic expression of 1-connected (respectively, 2-connected and k-connected) network. Finally, we present the simulation results and discuss practical value for researchers in this domain.