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arXiv · 1403.4523

Connectivity in Dense Networks Confined within Right Prisms

Justin P. Coon·Orestis Georgiou·Carl P. Dettmann
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Abstract

We consider the probability that a dense wireless network confined within a given convex geometry is fully connected. We exploit a recently reported theory to develop a systematic methodology for analytically characterizing the connectivity probability when the network resides within a convex right prism, a polyhedron that accurately models many geometries that can be found in practice. To maximize practicality and applicability, we adopt a general point-to-point link model based on outage probability, and present example analytical and numerical results for a network employing $2 \times 2$ multiple-input multiple-output (MIMO) maximum ratio combining (MRC) link level transmission confined within particular bounding geometries. Furthermore, we provide suggestions for extending the approach detailed herein to more general convex geometries.

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Justin P. Coon, Orestis Georgiou, Carl P. Dettmann. 2014-03-18. Connectivity in Dense Networks Confined within Right Prisms. https://arxiv.org/abs/1403.4523

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