Proceedings ArticleDOI
A new method for fast carrier phase ambiguity estimation
Peter Teunissen
- pp 562-573
TLDR
In this paper, the authors used an ambiguity reparametrization that allows one to reformulate the original ambiguity estimation problem into a new problem that becomes much easier to solve, and demonstrated that a significant reduction in both the correlation between the ambiguities and in the elongation of the corresponding confidence ellipsoid can be reached.Abstract:
The Global Positioning System (GPS) double-difference carrier phase data are biased by an integer number of cycles. A new and successful method has been developed and demonstrated that enables very fast integer ambiguity estimation. The method makes use of an ambiguity reparametrization that allows one to reformulate the original ambiguity estimation problem into a new problem that becomes much easier to solve. The theoretical concepts of the method are presented, and some representative numerical results are given and discussed. In particular, it is demonstrated that a very significant reduction in both the correlation between the ambiguities and in the elongation of the corresponding confidence ellipsoid can be reached. Typically a reduction by a factor of between 10/sup 2/ and 10/sup 3/ of the square-root of the condition number of the confidence ellipsoid can be obtained. Also the gain in time, which is needed to follow through the various computational steps, is demonstrated. >read more
Citations
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Journal ArticleDOI
Integer parameter estimation in linear models with applications to GPS
Arjang Hassibi,Stephen Boyd +1 more
TL;DR: The integer least-squares problem associated with estimating the parameters can be solved efficiently in practice and sharp upper and lower bounds can be found on the probability of correct integer parameter estimation.
Journal ArticleDOI
Undifferenced GPS Ambiguity Resolution Using the Decoupled Clock Model and Ambiguity Datum Fixing
TL;DR: In the PPP results presented here, the LAMBDA method was used to optimally resolve ambiguities at each epoch, and with 30-second static processing after 60 minutes, 90% of solutions approach 2 cm horizontal error, compared to 10 cm for standard PPP.
Journal ArticleDOI
Towards PPP-RTK: Ambiguity resolution in real-time precise point positioning
TL;DR: The PPP-RTK model currently cannot satisfy the critical requirement of instantaneous precise positioning where ambiguity-fixed solutions have to be achieved within at most a few seconds, however, this model can still be potentially applied to some near-real-time remote sensing applications, such as the GPS meteorology.
Journal ArticleDOI
Real-time differential carrier phase GPS-aided INS
TL;DR: The implementation achieves 100-Hz vehicle state estimates with position accuracies at the centimeter level through the use of differential carrier phase GPS techniques.
Journal ArticleDOI
Integrating GPS and GLONASS to accelerate convergence and initialization times of precise point positioning
Pan Li,Xiaohong Zhang +1 more
TL;DR: In this article, the authors adopt a single-differenced (SD) between-satellite PPP model to combine the GPS and GLONASS raw dual-frequency carrier phase measurements, in which the GPS satellite with the highest elevation is selected as the reference satellite to form the SD between-Satellite measurements.
References
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Journal ArticleDOI
Carrier Phase Ambiguity Resolution for the Global Positioning System Applied to Geodetic Baselines up to 2000 km
TL;DR: In this article, a technique for resolving the ambiguities in the GPS carrier phase data (which are biased by an integer number of cycles) is described which can be applied to geodetic baselines up to 2000 km in length and can be used with dual-frequency P code receivers.
Book ChapterDOI
Instantaneous Ambiguity Resolution
TL;DR: With high quality dual-frequency receivers, it is possible to instantaneously resolve the whole-cycle carrier phase ambiguities in a kinematic scenario.