Analysis of higher order voronoi diagram for fuzzy information coverage

Abstract

Coverage is one of the most important issues in sensor networks. For random sensor deployment, one would like to know whether the deployed sensors can cover the whole field sufficiently. In this paper, we attempt to find a set of critical points in a sensor field so as to answer the yes/no question of complete coverage only by checking whether these points are covered, which is based on a new model of fuzzy information coverage. The higher order Voronoi diagram is analyzed and a sufficient condition is provided for a sensor field which is completely fuzzy information covered by a given set of sensors. The corresponding algorithm in O (K2N+NlogN) runtime is also presented. © Springer-Verlag Berlin Heidelberg 2007.