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Erschienen in:
2009 | OriginalPaper | Buchkapitel
Phase Transitions in Coverage and Connectivity in Two-Dimensional Deployment Fields
verfasst von : Habib M. Ammari
Erschienen in: Challenges and Opportunities of Connected k-Covered Wireless Sensor Networks
Verlag: Springer Berlin Heidelberg
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This chapter addresses the problems of
almost sure
integrated coverage and connectivity in two-dimensional wireless sensor networks from the perspective of percolation theory. Specifically, it focuses on finding the critical sensor density above which the network is
almost surely
connected and the deployment field is
almost surely
covered. It proposes our solution to this problem using a probabilistic approach. Precisely, each of the above problems is discussed separately. Then, both are investigated in an integrated manner using a suitable integration model.