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Reports (Research Report) Year : 2008

## Realistic wireless network model with explicit capacity evaluation

Philippe Jacquet

#### 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.

### Dates and versions

inria-00203339 , version 1 (09-01-2008)
inria-00203339 , version 2 (11-01-2008)
inria-00203339 , version 3 (24-01-2008)

### Identifiers

• HAL Id : inria-00203339 , version 1

### Cite

Philippe Jacquet. Realistic wireless network model with explicit capacity evaluation. [Research Report] 2008, pp.16. ⟨inria-00203339v1⟩

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