Distributional Properties of Inhibited Random Positions of Mobile Radio Terminals

Randomly generated points representing the deployment of radio terminals (nodes) in an area R can be unrealistically close together (clustered) and the resulting connectivity measure for the wireless network (such as average number of neighbors per node) can have a relatively large variance. When a minimum internode distance is imposed according to an "inhibition" random process, the simulated node positions are more regularly spaced and the connectivity measure has a smaller variance. In this paper, analytical methods are presented that characterize the spatial distribution ("area coverage") of the nodes under random and inhibited point generation processes, and expressions are found for the mean and variance of the number of neighbors.