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The authors characterize the random CSMA wireless networks by statistically quantifying the intensity of simultaneously active nodes and the aggregate interference experienced by a generic node in the network. First, starting from a Poisson point process to model the spatial distribution of the network nodes, they propose a Modified Hard Core Point Process (MHCPP) to model the spatial distribution of the simultaneously active users in a random CSMA network. Their motivation to propose the MHCPP is to mitigate the node intensity underestimation problem of the traditional Hard Core Point Process (HCPP). Then, they use the shot noise theory to statistically quantify the interference experienced by a generic node in the network.
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