Best signal quality in cellular networks: asymptotic properties and applications to mobility management in small cell networks

Authors:
Van Minh Nguyen;François Baccelli;Laurent Thomas;Chung Shue Chen
Affiliations:
Network and Networking Department, Bell Labs, Alcatel-Lucent, Nozay, France;INRIA, École Normale Supérieure, Paris, France;Network and Networking Department, Bell Labs, Alcatel-Lucent, Nozay, France;INRIA, École Normale Supérieure, Paris, France
Venue:
EURASIP Journal on Wireless Communications and Networking - Special issue on femtocell networks
Year:
2010

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Abstract

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, we 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 lognormal, independent, and identically distributed, we prove that when the number of sites in the ring tends to infinity, then (i) the maximum signal strength received at the center of the ring tends in distribution to a Gumbel distribution when properly renormalized, and (ii) it is asymptotically independent of the interference. Using these properties, we derive the distribution of the best signal quality. Furthermore, an optimized random cell scanning scheme is proposed, based on the evaluation of the optimal number of sites to be scanned for maximizing the user data throughput.