Shannon capacity in poisson wireless network model
Philippe Jacquet · Problems of Information Transmission · 2009
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.