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Abstract

A differential system and method for computing the position of a mobile receiver at or near the surface of the Earth using a base receiver having a known position and using a satellite-based navigation system including a constellation of navigation satellites is disclosed. The method includes the following steps. A base position estimate is computed for the base receiver using a pseudorange from a first satellite and ranges from two other satellites. A first vector difference between the base position estimate and the known position of the base receiver is computed. An initial position estimate is computed for the mobile receiver. A refined position estimate is computed for the mobile receiver using a pseudorange from the first satellite and ranges from two other satellites. A second vector difference between the initial position estimate and the refined position estimate of the mobile receiver is computed. Finally, a third vector difference between the first vector difference and the second vector difference is computed. The position of the first receiver is precisely computed by adding the third vector difference to the initial position estimate for the mobile receiver.

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First Claim