# Realistic wireless network model with explicit capacity evaluation

1 HIPERCOM - High performance communication
Inria Paris-Rocquencourt, UP11 - Université Paris-Sud - Paris 11, Inria Saclay - Ile de France, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR
Abstract : 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.
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Reports

Cited literature [4 references]

https://hal.inria.fr/inria-00203339
Contributor : Philippe Jacquet <>
Submitted on : Thursday, January 24, 2008 - 4:31:36 PM
Last modification on : Wednesday, September 16, 2020 - 5:04:13 PM
Long-term archiving on: : Friday, November 25, 2016 - 8:46:15 PM

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capacity-RR.pdf
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• HAL Id : inria-00203339, version 3

### Citation

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

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