Topology control with Hexagonal Tessellation

Geographic Adaptive Fidelity (GAF) is an important topology control approach in Wireless Sensor Networks. It extends the system lifetime by exploiting node redundancy However, the properties of the square grid in GAF have not been fully studied. This pape shows that there exists an unreachable corner in the GAF grid architecture. Using an analytica model, we are able to calculate the unreachable probability and analyse its impacts on dat delivery. We propose to replace the square grid of GAF with Hexagonal Tessellation (GAF-h) We then proceed to prove that GAF-h is able to achieve zero loss with little extra cost when compared to the original scheme. A node association algorithm is also proposed for efficien implementation. This algorithm is proved to integrate with the original GAF protocol with little computing overhead.