Evaluation of Hop-distance Relationship for Sensor Networks in Internet of Things
一种物联网框架下传感节点间跳数与距离关系的研究

This paper presented an analytical method to evaluate the hop-distance relationship for wireless sensor network in a shadow fading envirorunent,where sensor nodes are randomly and independently deployed in a circular region by a Poisson process. Different from the UDG model, the shadow fading model has the non-uniformity property for connectivity. We derived an approximate recursive expression of the probability of the hop count by a given geographic dislance. The multi-hop dependence problem was also taken into consideration. Furthermore, we gave the expressions about the distribution of distance by a known hop count by the Bayer formula .The simulation results show that the analytical expressions can closely agree with the statistical data and the border effects cannot be ignored.