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arXiv · 1602.01614

Connectivity Scaling Laws in Wireless Networks

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

We present scaling laws that dictate both local and global connectivity properties of bounded wireless networks. These laws are defined with respect to the key system parameters of per-node transmit power and the number of antennas exploited for diversity coding and/or beamforming at each node. We demonstrate that the local probability of connectivity scales like $\mathcal{O}(z^\mathcal C)$ in these parameters, where $\mathcal C$ is the ratio of the dimension of the network domain to the path loss exponent, thus enabling efficient boundary effect mitigation and network topology control.

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Justin P. Coon, Orestis Georgiou, Carl P. Dettmann. 2016-02-04. Connectivity Scaling Laws in Wireless Networks. https://doi.org/10.1109/lwc.2015.2476488

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