2011 | OriginalPaper | Chapter
The Tightest Geometry for Lowest GDOP in Range-Based 2-D Wireless Location Systems
Author : Qingyi Quan
Published in: Advanced Research on Computer Science and Information Engineering
Publisher: Springer Berlin Heidelberg
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In wireless location systems the geometry between target and measuring points influences the positioning accuracy of the target. It is usually quantified by the geometric dilution of precision (GDOP). The GDOP depends on the geometry between target and measuring points. In this paper, firstly, a close form for the GDOP is derived as a function of both the number of measuring points and their bearing angle relative to the target. Then, such geometries that produce the lowest GDOP are reviewed with the close form expression of GDOP. Finally, a new geometry is proposed for absolute-range based 2-dimension (2-D) wireless location systems. The proposed geometry not only has the lowest GDOP but also forms the narrowest sector. In the proposed geometry all measuring points are distributed within a sector of
π
/2, relative to the target.