Method for refining state estimates of a global positioning...

Communications: directive radio wave systems and devices (e.g. – Directive – Including a satellite

Reexamination Certificate

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C342S357490

Reexamination Certificate

active

07423583

ABSTRACT:
Sequential GPS Doppler carrier phase count measurements are used for precision sequential determination of position and velocity of a GPS receiver, such as for orbit determination and geolocation, with minimum throughput time. Real-time orbit determination and geolocation performance is enabled with an optimal sequential filter, and near-real-time performance is enabled with an optimal fixed-lag smoother. Many problems associated with prior art orbit determination are eliminated by addressing the “cycle slip” problem, the unknown initial range problem with RANGECPmeasurement representations, the problem of serial correlation in the measurements due to reprocessing of overlapping thermal noise. Also, the present invention significantly attenuates the carrier signal phase variation due to rotation of receiver antenna relative to transmitter antenna because the sequential phase count time intervals are sufficiently short.

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James R. Wright, “Sherman's Theorem: Solutions to Multidimensional Nonlinear Real-Time Problems.” Paper AAS 05-451, presented at the Malcolm D. Shuster Astronautics Symposium, Jun. 13, 2005. Printed by American Astronautical Society, Springfield, VA.
Mark L. Psiaki and Shan Mohiuddin, “Modeling, Analysis, and Simulation of GPS Carrier Phase for Spacecraft Relative Navigation.” Aug. 11, 2005. Printed by American Institute of Aeronautics and Astronautics, Reston, VA.
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James R. Wright, “Optimal Orbit Determination.” 2002: Printed by the American Astronautical Society, Springfield, VA.
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Elliott D. Kaplan, editor. Understanding GPS: Principles and Applications, Chapter 5. 1996: Artech House.

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