Realistic wireless network model with explicit capacity evaluation

Philippe Jacquet (1)

1 HIPERCOM - High performance communication

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.

Keywords: wireless; networks; information theory; complex analysis; MIMO; fractal object

Domains: Networking and Internet Architecture [cs.NI]

Philippe Jacquet. Realistic wireless network model with explicit capacity evaluation. [Research Report] RR-6407, INRIA. 2008, pp.16. ⟨inria-00203339v3⟩