Shannon capacity in poisson wireless network model
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We consider a realistic model of a wireless network where nodes are dispatched in an infinite map with uniform distribution. Signals decay with distance according to attenuation factor α. At any time we assume that the distribution of emitters is λ per square unit area. From an explicit formula of the Laplace transform of a received signal, we derive an explicit formula for the information rate received by an access point at a random position, which is α/2(log 2)−1 per Hertz. We generalize to network maps of any dimension.
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