The SINR percolation model with random powers is shown to have both a subcritical and a supercritical phase under weaker conditions on the power distribution than previously known.
Signal to interference ratio percolation for Cox point processes
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abstract
We study the signal-to-interference ratio (SINR) percolation model for a stationary Cox point process in two or higher dimensions, in case of a bounded and integrable path-loss function. We show that if this function has compact support or if the stationary intensity measure evaluated at a unit box has some exponential moments, then the SINR graph has an infinite connected component in case the spatial density of points is large enough and the interferences are sufficiently reduced (without vanishing). This holds under suitable stabilization and connectivity assumptions on the intensity measure. We also provide estimates on the critical interference cancellation factor.
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math.PR 1years
2019 1verdicts
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Percolation phase transitions for the SIR model with random powers
The SINR percolation model with random powers is shown to have both a subcritical and a supercritical phase under weaker conditions on the power distribution than previously known.