On Throughput Scaling of Wireless Networks: Effect of Node Density and Propagation Model

Details On Throughput Scaling of Wireless Networks: Effect of Node Density and Propagation Model On Throughput Scaling of Wireless Networks: Effect of Node Density and Propagation Model

2007-07-31

arxiv.org/abs/0707.4518v1

Computer Science

Information Theory

28 pages, 4 figures

Scientific paper

This paper derives a lower bound to the per-node throughput achievable by a wireless network when n source-destination pairs are randomly distributed throughout a disk of radius $n^\gamma$, $ \gamma \geq 0$, propagation is modeled by attenuation of the form $1/(1+d)^\alpha$, $\alpha >2$, and successful transmission occurs at a fixed rate W when received signal to noise and interference ratio is greater than some threshold $\beta$, and at rate 0 otherwise. The lower bound has the form $n^{1-\gamma}$ when $\gamma < 1/2$, and $(n \ln n)^{-1/2}$ when $\gamma \geq 1/2$. The methods are similar to, but somewhat simpler than, those in the seminal paper by Gupta and Kumar.

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