Nearest neighbor nodes and connectivity of three-dimensional wireless sensor networks with Poisson point field

Some problems about the connectivity of wireless sensor networks (WSNs) are always important and difficult topics in research, especially the trade-off between connectivity and energy control. In this paper, we present a novel and effective method to calculate nearest neighbor nodes in three-dimensional WSNs using Poisson point field theory, which enables each node to find the k^th nearest neighbor node and adjust transmitting range according to local requirement. Simultaneously, the probability expression of the k-connected network is given.