Geodetic surveying system using multiple GPS base stations

A method for determining the position coordinates of a GPS satellite receiver of unknown position, referred to as a mobile receiver, with respect to the earth's surface, comprising the steps of:

• (a) accumulating code signals and carrier-phase signals broadcast by four or more GPS satellites, said accumulation taking place simultaneously at:
• (1) at least three geographically dispersed fixed reference station receivers, referred to as base station receivers, each having:
• (A) a set of position coordinates known to the order of 10 cm with respect to the other base station receivers, and
• (B) a clock having a direct measured time differential with respect to the clocks of the other base station receivers and an estimated time differential with respect to an absolute time reference, and
• (2) the mobile receiver;
• (b) computing an initial estimate of a set of maximum-likelihood position coordinates of the mobile receiver;
• (c) noise-filtering the accumulated code signals, utilizing information derived from the accumulated carrier-phase signals;
• (d) correcting the initial position estimate with a correction for timing, refraction, and geometric error, said correction simultaneously minimizing the sum of squares of the difference between:
• (1) the corrected initial position estimate, and
• (2) a set of three or more independent differential position estimates of the mobile receiver, each differential position estimate being computed as a function of the differences in reception times of said satellite signals at a specified base station receiver and at the mobile receiver.

A method for determing the position coordinates of a GPS satellite receiver of unknown position, referred to as a mobile receiver, with respect to the earth's surface, comprising the steps of:

• (a) computing a set of measured relative time differentials among at least three clocks respectively coupled to at least three fixed reference station receivers geographically dispersed at least 50 km apart, referred to as base station receivers, as a function of code signals accumulated at said receivers from one or more GPS satellites over a long period of time;
• (b) computing said position coordinates of the base station receivers to the order of 10 cm as a function of code signals accumulated at said receivers from said GPS satellites over a long period of time;
• (c) accumulating code signals and carrier-phase signals broadcast by four or more GPS satellites, said accumulation taking place simultaneously at said base station receivers and at said mobile receiver;
• (d) computing an initial estimate of a set of maximum-likelihood position coordinates of the mobile receiver;
• (e) noise-filtering the accumulated code signals, utilizing information derived from the accumulated carrier-phase signals;
• and
• (f) correcting the initial position estimate with a correction for timing, refraction, and geometric error,
• (g) said correction simultaneously minimizing the sum of squares of a set of at least three independent differential error estimates,
• (h) each said differential error estimate being computed as a function of the differences between the reception times of said satellite signals at a specified base station receiver and at the mobile receiver.