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Sensors typically have limited power of transmission. Thus desired connectivity probability (CP) between the sensors is critical in the given deployment area. The paper presents a novel approach for analysing the lower bound of CP for sensor networks under uniformly distribution of the sensors in a given area. Initially, the area is divided into a grid (mesh) of blocks. The CP for each small block is then calculated and the small blocks are aggregated into a large one and the desired CP for the entire network is derived progressively. More specifically, given n sensors in each block, the CP is derived by (1) computing the CP of two adjacent blocks using a geometrical probabilistic approach when n=1, which is the precise result; (2) based on (1), the CP for n>1 is derived, which is very close to the simulation results within an error of 1%; (3) progressively deriving the CP of an entire network through aggregations of the small blocks. Simulation results demonstrate the feasibility of the algorithm.
Date of Publication: 1 April 2006