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Hyperbola intersection problem of two hyperbolae. (a) For 3 collinear beacon positions, the effective region is a lens belt centered around the line. (b) With 4 beacons at the vertices of a kite, the effective region is the kite.

Hyperbola intersection problem of two hyperbolae. (a) For 3 collinear beacon positions, the effective region is a lens belt centered around the line. (b) With 4 beacons at the vertices of a kite, the effective region is the kite.

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Location-awareness is crucial to many applications of sensor networks. Existing location surveying approaches either rely on an inflexible infrastructure or suffer from high computation and communication load. In this paper, we present Non-intEractive lOcation Surveying (NEOS) to address certain deficiencies in the existing approaches. The key cont...

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... by the geome- tries of the beacon positions. The larger the GDOP, the more sensitive the estimation accuracy is to the input (i.e., MDToA estimations) errors. Intuitively, the GDOP is minimized if the two hyperbolae are orthogonal at the intersection points and it increases with a decreasing an- gle between the two tangents. For example, in Fig. 3 (a), the two right node locations have much larger GDOPs than the two on the left. We omit the detailed analysis, which can be done by investigating the CRLB. Usually, we would like to have a large effective region (the region where GDOP is minimized) with a small number of beacon positions. In this work, we propose to have the 6 beacon ...
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... much larger GDOPs than the two on the left. We omit the detailed analysis, which can be done by investigating the CRLB. Usually, we would like to have a large effective region (the region where GDOP is minimized) with a small number of beacon positions. In this work, we propose to have the 6 beacon positions at the vertices of a kite, as shown in Fig. 3 (b). By choosing a proper coordinate system, the 2 measurements r 21 and r 43 along with the coordinates of the 4 beacon positions define two hyperbola ...

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