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Reducing energy consumption has been a recent focus of wireless sensor network research. Topology control explores the potential that a dense network has for energy savings. One such approach is Geographic Adaptive Fidelity (GAF). GAF is proved to be able to extend the lifetime of self-configuring systems by exploiting redundancy to conserve energy while maintaining application fidelity. However the properties of the grid topology in GAF have not been fully studied. In this paper it is shown that there exists an unreachable corner in the GAF grid architecture. Using an analytical model, they are able to calculate the unreachable probability and analyse its impacts on data delivery.
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