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Khodabandeh, A. (author), Teunissen, P.J.G. (author), Psychas, D. (author)To obtain single-receiver Global Navigation Satellite System (GNSS) parameter solutions, the PPP-RTK user-filter combines measurements with time-correlated corrections that are separately computed by the filter of an external provider. The consequence of exercising such double-filtering is that the Kalman filter’s standard assumption of...journal article 2023
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Khodabandeh, A. (author), Teunissen, P.J.G. (author)Carrier phase signals are considered among the key observations in global navigation satellite systems (GNSSs) and several other high-precision interferometric measurement systems. However, these ultra-precise measurements are not fully exploited when the integerness of their inherent ambiguities is discarded during the estimation process....journal article 2023
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Odolinski, Robert (author), Teunissen, P.J.G. (author)The best integer equivariant (BIE) estimator for the multivariate t-distribution was introduced in Teunissen (J Geod, 2020. https://doi.org/10.1007/s00190-020-01407-2), where it was shown that the BIE-weights will be different from that of the normal distribution. In this contribution, we analyze these BIE estimators while making use of multi...journal article 2022
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Psychas, D.V. (author), Khodabandeh, Amir (author), Teunissen, P.J.G. (author)The corrections needed to realize integer ambiguity resolution-enabled precise point positioning (PPP-RTK) at a single-receiver user are often treated as if they are deterministic quantities. The present contribution aims to study and analyze the effect the neglected uncertainty of these corrections, which are subject to time delay, has on...journal article 2022
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Teunissen, P.J.G. (author), Khodabandeh, A. (author)In this contribution, we generalize PPP–RTK theory by allowing the transmitters to transmit on different frequencies. The generalization is based on the integer-estimability theory of Teunissen (A new GLONASS FDMA model. GPS Solutions, 2019). As the theory and associated algorithms provided are generally applicable, they apply to satellite...journal article 2022
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Zaminpardaz, S. (author), Teunissen, P.J.G. (author)Customary confidence regions do not truly reflect in the majority of our geodetic applications the confidence one can have in one’s produced estimators. As it is common practice in our daily data analyses to combine methods of parameter estimation and hypothesis testing before the final estimator is produced, it is their combined uncertainty...journal article 2022
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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
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Teunissen, P.J.G. (author), Khodabandeh, A. (author), Psychas, D.V. (author)In this contribution, we introduce a generalized Kalman filter with precision in recursive form when the stochastic model is misspecified. The filter allows for a relaxed dynamic model in which not all state vector elements are connected in time. The filter is equipped with a recursion of the actual error-variance matrices so as to provide an...journal article 2021
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Teunissen, P.J.G. (author), Khodabandeh, A. (author)Although ionosphere-weighted GNSS parameter estimation is a popular technique for strengthening estimator performance in the presence of ionospheric delays, no provable rules yet exist that specify the needed weighting in dependence on ionospheric circumstances. The goal of the present contribution is therefore to develop and present the...journal article 2021
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Lăpădat, Alexandru M. (author), Tiberius, C.C.J.M. (author), Teunissen, P.J.G. (author)Smartphone accelerometers and low-cost Global Navigation Satellite System (GNSS) equipment have faced rapid and important advancement, opening a new door to deformation monitoring applications such as landslide, plate tectonics and structural health monitoring (SHM). The precision potential and operational feasibility of the equipment play an...journal article 2021
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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
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Zaminpardaz, Safoora (author), Teunissen, P.J.G. (author), Khodabandeh, Amir (author)An assessment of standalone GLONASS RTK performance is provided using its FDMA and CDMA signals. The new integer-estimable GLONASS FDMA model (Teunissen 2019), which guarantees the integer-estimability of its ambiguities, is employed. We introduce the combined integer-estimable GLONASS FDMA+CDMA model and compare its strength against the FDMA...journal article 2021
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Teunissen, P.J.G. (author), Zaminpardaz, S. (author), Tiberius, C.C.J.M. (author)In safety-critical applications, deformation monitoring systems are required to issue timely alerts when a deformation beyond a critical threshold occurs. Only a very small probability of failing to issue an alert when in fact one should have been given, is acceptable. This probability is referred to as integrity risk. In this contribution,...journal article 2020
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- Odolinski, R. (author), Teunissen, P.J.G. (author), Zhang, B. (author) contribution to periodical 2020
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Zaminpardaz, S. (author), Teunissen, P.J.G. (author), Tiberius, C.C.J.M. (author)In this contribution, we propose a method for statistically evaluating the risk in a deformation monitoring system. When the structure under monitoring moves beyond tolerance, the monitor system should issue an alert. Only a very small probability is acceptable of the system telling us that no change beyond a critical threshold has taken...journal article 2020
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Wang, Kan (author), Teunissen, P.J.G. (author), El-Mowafy, Ahmed (author)Ambiguity dilution of precision (ADOP) and position dilution of precision (PDOP) are two popular scalar-diagnostics used in Global Navigation Satellite System (GNSS) positioning. Where the ADOP is a predictor for carrier-phase ambiguity resolution performance, the PDOP is meant to predict the receiver-satellite geometry's capability for...journal article 2020
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Odolinski, Robert (author), Teunissen, P.J.G. (author)The key to precise global navigation satellite system (GNSS) positioning is carrier phase integer ambiguity resolution with a high success rate. On the other hand when the success rate is too low, the user will normally prefer the float solution. The alternative can be to use the best integer equivariant (BIE) estimator, since it is optimal in...journal article 2020
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Teunissen, P.J.G. (author)This contribution extends the theory of integer equivariant estimation (Teunissen in J Geodesy 77:402–410, 2003) by developing the principle of best integer equivariant (BIE) estimation for the class of elliptically contoured distributions. The presented theory provides new minimum mean squared error solutions to the problem of GNSS carrier...journal article 2020
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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
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Zaminpardaz, Safoora (author), Teunissen, P.J.G. (author), Tiberius, C.C.J.M. (author)The goal of this contribution is to assess the impact statistical model selection has on confidence levels of parameter estimators in linear(ized) GNSS models. In the processing of observational data, parameter estimation and statistical testing are often combined. A testing procedure is exercised to select the most likely observational model...conference paper 2020