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Assume sensor deployment follows the Poisson distribution. For a given partial connectivity requirement Â¿, 0.5 < Â¿ < 1, we prove, for a hexagon model, that there exists a critical sensor density Â¿0, around which the probability that at least 100Â¿% of sensors are connected in the network increases sharply from Â¿ to 1-Â¿ within a short interval of sensor density Â¿. The location of Â¿0 is at the sensor density where the above probability is about 1/2. We also extend the results to the disk model. Simulations are conducted to confirm the theoretical results.
INFOCOM, 2010 Proceedings IEEE
Date of Conference: 14-19 March 2010