Best Signal Quality in Cellular Networks: Asymptotic Properties and Applications to Mobility Management in Small Cell Networks

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Executive Summary

The quickly increasing data traffic and the user demand for a full coverage of mobile services anywhere and anytime are leading mobile networking into a future of small cell networks. However, due to the high-density and randomness of small cell networks, there are several technical challenges. In this paper, the authors investigate two critical issues: best signal quality and mobility management. Under the assumptions that base stations are uniformly distributed in a ring-shaped region and that shadowings are log-normal, independent, and identically distributed, they prove that when the number of sites in the ring tends to infinity, then the maximum signal strength received at the center of the ring tends in distribution to a Gumbel distribution when properly renormalized, and it is asymptotically independent of the interference.

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