RFID system uses sources emitting electromagnetic waves (RFID readers) to locate one or more targets (RFID tags), with the possible use of additional RFID tags as references. RFID positioning system is useful for localization, and is challenging for indoor environments. This research focuses on a 3-D based RFID positioning system, and the simulations are based on a hexahedron shape which can be a room or a container. The system enable many applications such as locating a small piece of object or person in a room or buildings, implementing indoor navigation system and so forth. Our scheme uses small number of readers whereas the locations are set to yield minimal interference. Small number of readers lead to lower cost of the system, and lower interference means higher performance for our system in a practical usage. Our calculation is based on the power level of each reader. In this paper, we propose the power searching scheme to improve the performance, and also a shift algorithm to improve the localization accuracy at the edge. With the help of a Gr?bner basis, the estimation can be well accomplished.
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