Modeling of Random Dense CSMA Networks

In Carrier Sense Multiple Access (CSMA) media access control (MAC), two nodes that are within the range of one another can not simultaneously transmit packets. Modeling the concurrently transmitting nodes is the key to analyzing the performance of a CSMA network. In this paper, we study the density of concurrently transmitting nodes and propose a Modification of Modified Hard Core Point (MMHCP) model to accurately estimate the density of concurrently transmitting nodes. Our MMHCP best the popular Matern CSMA model and the Modified Hard Core Point (MHCP) model by avoiding the underestimation and overestimation issues, respectively. We conduct extensive numerical analysis and simulations to evaluate the accuracy of estimation of our MMHCP. Furthermore, we study the impact of the density of initial Poisson Point Process (PPP) on the mean of aggregate interference. The simulation results demonstrate that our model is more accurate than MHCP and Matern CSMA.