Coverage problem of wireless sensor networks

Authors:
G. L. Lan;Z. M. Ma;S. S. Sun
Affiliations:
Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China and Graduate School of the Chinese Academy of Sciences;Graduate School of the Chinese Academy of Sciences;Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China and Graduate School of the Chinese Academy of Sciences
Venue:
CJCDGCGT'05 Proceedings of the 7th China-Japan conference on Discrete geometry, combinatorics and graph theory
Year:
2005

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Abstract

In this paper we study the limiting achievable coverage problems of sensor networks. For the sensor networks with uniform distributions we obtain a complete characterization of the coverage probability. For the sensor networks with non-uniform distributions, we derive two different necessary and sufficient conditions respectively in the situations that the density function achieves its minimum value on a set with positive Lebesgue measure or at finitely many points. We propose also an economical scheme for the coverage of sensor networks with empirical distributions.