Abstract
Hyperbolic Positioning involves time-difference of arrival (TDOA) measurements, to obviate the need for an accurate time clock on the transmitting satellite to enable accurate time-of-arrival (TOA) measurements. Several papers propose advanced methods for determining the position of an asset against reference stations in the presence of measurement noise. Other authors have studied the effects of Geometric Dilution of Position (GDOP) in TDOA systems, and the optimum placement of reference stations relative to an asset whose position is to be determined. There have been papers about the effects of synchronization error on TDOA. This new work studies how all those effects are related and interact. We find that synchronization error can create large chaotic errors when combined with poor GDOP, and that measurement noise exacerbates this effect.
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