%0 Report %T Realistic wireless network model with explicit capacity evaluation %+ High performance communication (HIPERCOM) %A Jacquet, Philippe %N RR-6407 %P 16 %8 2008 %D 2008 %K wireless %K networks %K information theory %K complex analysis %K MIMO %K fractal object %Z Computer Science [cs]/Networking and Internet Architecture [cs.NI]Reports %X We consider a realistic model of wireless network where nodes are di\ spatched in an infinite map with uniform distribution. Signal decays with distance according to attenuation factor $\alpha$. At any time we assume that the distribution of emitters is $\lambda$ per square unit area. From the explicit formula of the laplace transform of received signal we derive the explicit formula for the info\ rmation rate received by a random node which is $\frac{\alpha}{2}(\log 2)^{-1}$ per Hertz. We generalize to any-dimension network maps. %G English %2 https://inria.hal.science/inria-00203339v2/document %2 https://inria.hal.science/inria-00203339v2/file/RR-6407.pdf %L inria-00203339 %U https://inria.hal.science/inria-00203339 %~ INRIA-RRRT