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GEOPHYSICAL RESEARCH LETTERS, VOL. 31, L22608, doi:10.1029/2004GL021621, 2004
Modified sidereal filtering: Implications for high-rate GPS positioning
Kyuhong Choi, Andria Bilich, Kristine M. Larson, and Penina Axelrad
Department of Aerospace Engineering Sciences, University of Colorado, Boulder, Colorado, USA
Received 27 September 2004; accepted 28 October 2004; published 30 November 2004.
[1] High-rate (1-Hz) Global Positioning System (GPS) of the satellites, and the ability to model errors associated
data are beginning to be used for a variety of geophysical with orbits, satellite and receiver clocks, atmospheric
monitoring purposes, including seismology. Improving the delays, antenna effects, and multipath. It was noted by Bock
precision of high-rate GPS position estimates will increase [1991] and Genrich and Bock [1992] that since some of
the value of these 1-Hz GPS monitoring systems. One these errors are related to satellite-receiver geometry, one
technique that has been used to improve high-rate GPS could take advantage of the fact that the GPS satellite period
positioning takes advantage of the ground track repeat is designed to be exactly half a sidereal day to mitigate these
period of the satellites. This study investigates the GPS errors. For a receiver on the Earth, this means that satellites
orbital repeat period and determines that it varies for each visible in the sky today should be visible in the exact same
satellite and differs significantly from the generally assumed location 23 h 56 m 4 s (the sidereal day) later.
sidereal period. Orbit repeat periods are calculated and [4] The sidereal filtering concept has two steps and
used to filter 1-Hz GPS position estimates. Using th
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