Stochastic geometry of thinned nodes in ad hoc networks

In the absence of multi-user detection techniques in ad hoc networks, interference management is done through MAC scheduling by creating suitable exclusion zones around active receivers. Applying MAC mechanisms alters the spatial distribution Φi of parent contending nodes to thinned daughter distribution Φs. The knowledge of post-MAC geometrical distribution of nodes is important for efficient MAC implementation. The paper provides a thinning model to capture the MAC implementation in ad hoc networks and investigates the stochastic geometry of thinned nodes. It is shown that the thinning process results in different spatial distributions that is sensitive to the robustness of the physical layer.