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Teunissen, P.J.G. (author), Massarweh, L. (author), Verhagen, S. (author)
In this contribution, we extend the principle of integer bootstrapping (IB) to a vectorial form (VIB). The mathematical definition of the class of VIB-estimators is introduced together with their pull-in regions and other properties such as probability bounds and success rate approximations. The vectorial formulation allows sequential block...
journal article 2021
document
Psychas, D.V. (author), Teunissen, P.J.G. (author), Verhagen, S. (author)
The single-receiver integer ambiguity resolution-enabled variant of precise point positioning (PPP), namely PPP-RTK, has proven to be crucial in reducing the long convergence time of PPP solutions through the recovery of the integerness of the user-ambiguities. The proliferation of global navigation satellite systems (GNSS) supports various...
journal article 2021
document
Psychas, D.V. (author), Verhagen, S. (author), Teunissen, P.J.G. (author)
A single-receiver integer ambiguity resolution-enabled precise point positioning (PPP-RTK) user experiences a long convergence time when the rather weak single-constellation dual-frequency ionosphere-float model is used. Nowadays, the rapid development of Global Navigation Satellite Systems (GNSS) provides a multitude of available satellites...
journal article 2020
document
Psychas, D.V. (author), Verhagen, S. (author), Liu, X. (author), Memarzadeh, Y. (author), Visser, H. (author), Teunissen, P.J.G. (author)
other 2018
document
Psychas, D.V. (author), Verhagen, S. (author), Liu, X. (author), Memarzadeh, Y. (author), Visser, H. (author), Teunissen, P.J.G. (author)
abstract 2018
document
Li, B. (author), Verhagen, A.A. (author), Teunissen, P.J.G. (author)
Successful integer carrier-phase ambiguity resolution is crucial for high precision GNSS applications. It includes both integer estimation and evaluation. For integer estimation, the LAMBDA method has been applied in a wide variety of GNSS applications. The method’s popularity stems from its numerical efficien-cy and statistical optimality....
conference paper 2013
document
Verhagen, A.A. (author), Teunissen, P.J.G. (author), Van der Marel, H. (author), Li, B. (author)
A key issue with GNSS carrier phase ambiguity resolution is that often the full set of ambiguities cannot be fixed fast and reliably. A possible strategy is then to resolve only a subset of ambiguities, one for which the probability of correct fixing, the so-called success rate, is sufficiently close to 1. However, a proper subset selection...
conference paper 2011
document
Giorgi, G. (author), Teunissen, P.J.G. (author), Verhagen, S. (author), Buist, P.J. (author)
GNSS Attitude Determination is a valuable technique for the estimation of platform orientation. To achieve high accuracies on the angular estimations, the GNSS carrier phase data has to be used. These data are known to be affected by integer ambiguities, which must be correctly resolved in order to exploit the higher precision of the phase...
conference paper 2009
document
Odijk, D. (author), Verhagen, S. (author), Teunissen, P.J.G. (author)
The goal of Network RTK is to provide users with precise ionospheric corrections in order to conduct fast GPS ambiguity resolution and to get cm-level positioning results over medium-distance baselines. In this paper it is shown that a Network RTK user should apply the ratio test with fixed failure rate, having a threshold value that depends on...
conference paper 2009
document
Buist, P.J. (author), Teunissen, P.J.G. (author), Giorgi, G. (author), Verhagen, S. (author)
Traditionally the relative positioning and attitude determination problem are treated as independent. In this contribution we will investigate the possibilities of using multiantenna (i.e., triple and quadruple) data, not only for attitude determination but also for relative positioning. The methods developed are rigorous and have the additional...
journal article 2009
document
Verhagen, S. (author), Teunissen, P.J.G. (author), Odijk, D. (author)
The coming decade will bring a proliferation of Global Navigation Satellite Systems (GNSSs) that are likely to enable a much wider range of demanding applications compared to the current GPS-only situation. One such important area of application is single-frequency real-time kinematic (RTK) positioning. Presently, however, such systems lack real...
conference paper 2009
document
Giorgi, G. (author), Teunissen, P.J.G. (author), Verhagen, S. (author), Buist, P.J. (author)
Integer ambiguity resolution is the key to obtain very accurate positioning solutions out of the GNSS observations. The Integer Least Squares (ILS) principle, a derivation of the least-squares principle applied to a linear system of equations in which some of the unknowns are subject to an integer constraint,was demonstrated to be optimal among...
conference paper 2009
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