• Corpus ID: 11481798

Capacity of Three-Dimensional Erasure Networks

@article{Jeong2016CapacityOT,
  title={Capacity of Three-Dimensional Erasure Networks},
  author={Cheol Jeong and Won-Yong Shin},
  journal={ArXiv},
  year={2016},
  volume={abs/1605.03282}
}
In this paper, we introduce a large-scale three-dimensional (3D) erasure network, where $n$ wireless nodes are randomly distributed in a cuboid of $n^{\lambda}\times n^{\mu}\times n^{\nu}$ with $\lambda+\mu+\nu=1$ for $\lambda,\mu,\nu>0$, and completely characterize its capacity scaling laws. Two fundamental path-loss attenuation models (i.e., exponential and polynomial power-law models) are used to suitably model an erasure probability for packet transmission. Then, under the two erasure… 

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