Modeling random CSMA wireless networks in general fading environments

Carrier-sense multiple access (CSMA) protocols coordinate the spectrum access to maximize the spatial frequency reuse and minimize the mutual interference in distributed wireless networks. Since the CSMA protocol correlates the positions of the simultaneously active transmitters, the analytically tractable Poisson point process (PPP) cannot be used to model the spatial distribution of the simultaneously active transmitters. Instead, the hard core point process (HCPP) is widely used to model the spatial distribution of the simultaneously active transmitters. However, the HCPP can be directly applied to CSMA random networks under deterministic channel gains only. In this paper, we integrate the fading and spatial distribution statistics in the analysis of the HCPP, and thus provide a unified framework to capture the intensity of simultaneously active transmitters in a random CSMA wireless network under general fading environments.