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Positioning of Node Using Plane Projection onto Convex Sets

We deal with positioning of node in wireless sensor network (WSN) using received signal strength (RSS) when there is no priori knowledge about path-loss exponent and transmission power. Since the RSS decreases on the average with distance, it carries some information about the distance to an unknown node. By ordering the RSS's, we conclude that there are some convex sets where the position of the unknown node can be found in the intersection of them. We introduce a plane projection onto convex sets (PPOCS) approach to solve the positioning problem. Simulation results show good performance for the new methods compared to other reduced complexity algorithms.