Abstract—In wireless communications, knowledge of the node-tonode
distance is essential in tasks such as system configuration,
protocol design, and performance analysis. In this paper, we
empirically describe the distance density between nodes in nonoverlapping
networks under the assumptions of circular coverage
area and uniform node distribution. In general, this problem has no
closed-form solution. Here, we approximate it with polynomial
expressions by applying curve fitting on a large set of simulation
traces. The impact of network size on distance statistics is
investigated. We also discuss an application in path loss modeling.
The results of this paper are of practical value for the design and
performance analysis of wireless networks. The derived closedform
expressions achieve a significant reduction in the complexity
and computational cost of the modeling and simulation of wireless
communications systems; moreover, the simulation results provide
some insight into the nature of radio signal propagation.
