Preprint Article Version 2 This version is not peer-reviewed

Analysis of Wide-Lane Ambiguities Derived from Geometry-Free and Geometry-Based PPP Model and Their Implication on Orbit and Clock Quality

Version 1 : Received: 9 May 2018 / Approved: 10 May 2018 / Online: 10 May 2018 (07:46:46 CEST)
Version 2 : Received: 27 May 2018 / Approved: 28 May 2018 / Online: 28 May 2018 (06:06:06 CEST)

A peer-reviewed article of this Preprint also exists.

Chen, G.; Liu, S.; Zhao, Q. Analysis of Wide-Lane Ambiguities Derived from Geometry-Free and Geometry-Based Precise Point Positioning Models and Their Implication for Orbit and Clock Quality. Sensors 2018, 18, 1760. Chen, G.; Liu, S.; Zhao, Q. Analysis of Wide-Lane Ambiguities Derived from Geometry-Free and Geometry-Based Precise Point Positioning Models and Their Implication for Orbit and Clock Quality. Sensors 2018, 18, 1760.

Journal reference: Sensors 2018, 18, 1760
DOI: 10.3390/s18061760

Abstract

Orbit and clock products are used in real-time GNSS precise point positioning without knowing their quality. This study develops a new approach to detect orbit and clock errors through comparing geometry-free and geometry-based wide-lane ambiguities in PPP model. The reparameterization and estimation procedures of the geometry-free and geometry-based ambiguities are described in detail. The effects of orbit and clock errors on ambiguities are given in analytical expressions. The numerical similarity and differences of geometry-free and geometry-based wide-lane ambiguities are analyzed using different orbit and clock products. Furthermore, two types of typical errors in orbit and clock are simulated and their effects on wide-lane ambiguities are numerically produced and analyzed. The contribution discloses that the geometry-free and geometry-based wide-lane ambiguities are equivalent in terms of their formal errors. Although they are very close in terms of their estimates when the used orbit and clock for geometry-based ambiguities are precise enough, they are not the same, in particular, in the case that the used orbit and clock, as a combination, contain significant errors. It is discovered that the discrepancies of geometry-free and geometry-based wide-lane ambiguities are coincided with the actual time-variant errors in the used orbit and clock at the line-of-sight direction. This provides a quality index for real-time users to detect the errors in real-time orbit and clock products, which potentially improves the accuracy of positioning.

Subject Areas

geometry-free; geometry-based; wide-lane ambiguity; orbit and clock residual error

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