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Global positioning technologies such as GPS are ubiquitously available for modern smartphones, on-board navigation computers of vehicles, sports appliances, etc. Positioning enables new networking and application solutions, but suffers from insufficient positioning accuracy. The authors present a way for improving the accuracy of a global positioning system by adding a local positioning system giving relative positions of a group of mobile entities more accurate than the global system communicated among the mobile entities. The improvement is based on transforming the global coordinate system into the local coordinate system and back by translation and rotation operations.
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