Locating Engine - Ambiguity and Accuracy

Ambiguity and Accuracy

To obtain an appropriate result with locating, not only is precision required, but a set of data for processing is required in order to generate an unambiguous solution.

Location estimation must be performed from or towards various reference points to calculate the unknown location as the unknown position inside a plane circle triangle (3 reference points in a 2D space with three distance circles) or inside a spherical tetrahedron (4 reference points in a 3D space with four spherical shell surfaces).

Even with a sufficient count of reference points, some ambiguity persists. The first reason is the passage of time during computation, and the corresponding motion of the target to be located. The below reasons also occur even in motionless scenarios:

  • Accuracy
  • Reproducibility
  • Resolution
  • Noise

Success with such geometric model is in fact hampered by multiple path errors, statistical errors and diverse metering inaccuracies. Such approaches fail in highly dynamic environments and may show severe jitter even with nodes at zero speed. Beyond this, the involving of more than the least required number of reference nodes (>3 for 3D and >4 four 4D) increases the complication. The interested user should not assume that such simple approaches would allow for the good performance or high precision with systems as e.g. with GPS in open air. Some higher level of sophistication is required to obtain sound results.

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