This Envisat mosaic was produced using images acquired by Envisat¹s Medium Resolution Imaging Spectrometer (MERIS) instrument. ESA photo
High Precision Positioning on a Continental Scale
Real-time corrections at the decimeter level over an entire continent? The challenge lies in minimizing the ranging errors from signals propagating through the Earth’s atmosphere. European researchers describe how it can be done using a Wide Area Real-Time Kinematic concept that exploits the full geometry of the observations, a central processing facility, and undifferenced processing of measurements from widely space GNSS reference receivers to create a real-time ionospheric model of the signal slant delays.
A common assumption in real-time kinematic (RTK) techniques is that the differential ionospheric delay between a GNSS transmitter and each of the roving or reference receivers is negligible. However, increased position uncertainty — spatial decorrelation — is usually allocated to the baseline receivers as baseline distances increase.
A refinement of this assumption comes with the network RTK (NRTK) using a set of permanent receivers to mitigate atmospheric dependent effects, such as the ionospheric delay, over distance.
These two approaches work well for baselines up to 10-20 kilometers (RTK) and to 50–70 kilometers (NRTK), requiring only one extra equation per satellite in-view. They both allow quick carrier phase ambiguity fixing and the corresponding real-time sub-decimeter error level positioning for high precision applications such as civil engineering. But both techniques restrict themselves to satellites with fixed double-differenced ambiguities, without exploiting the full geometry of the observations in a real-time ionospheric model of the slant delay.
The WARTK concept was introduced in the late 1990s to address these deficiencies. The method dramatically increases the RTK/NRTK service area, with permanent stations separated by up to 500–900 kilometers — all while requiring 100 to 1,000 times fewer receivers covering a given region.
This is accomplished thanks to combining at a Central Processing Facility (CPF) new ionospheric tomography and travelling ionospheric disturbance models with real-time geodetic undifferenced processing of measurements from widely separated permanent GNSS receivers, which is able to provide to the users undifferenced accurate ionospheric corrections that are used as additional information with its corresponding estimated standard deviation.
An example of such a permanent receiver network is the network of European Geostationary Navigation Overlay Service (EGNOS) ranging and monitoring station (EGNOS RIMS). This service would be able to provide WARTK corrections to navigation users, resulting in typical accuracies of around 10 centimeters of error, within a short convergence time. The availability of precise ionospheric corrections helps to decisively fix the real-time carrier phase ambiguities of the WARTK user.
Over the last 10 years, many experiments demonstrated the feasibility of WARTK using both actual and simulated data, while the technique evolved.
This article summarizes the present state and key results of the WARTK technique. We discuss the expected performance of future multi-frequency/multi-constellation GNSS scenarios using both WARTK CPF and associated products, including WARTK user accuracy, convergence time, and integrity. We detail our analysis using recently simulated multi-frequency Galileo data derived from a number of R&D projects funded by the European Space Agency (ESA).
Background to WARTK
Several projects carried out since 2000 have focused on finding accurate ways of modeling the ionosphere in real-time, profiting from the well-known coordinates of the permanent RIMS receivers. To date, this has been done only notionally by processing data from permanent receivers at the network’s central processing facility (CPF) and roving receivers (users), emulating real-time conditions. In these trials, the typically static receivers of users are treated as roving ones, as well as occasionally truly roving.
A future Wide Area RTK (WARTK) system would extend the sub-decimeter error level for GNSS navigation across continental regions and reduce the cost of existing high-precision positioning applications such as civil engineering, while creating opportunities for new applications.
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GNSS RF Simulator Experiment
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Central Processing Facility
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Single-Epoch Full Ambiguity Fixing with LAMBDA
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These results are typically achieved after a few minutes in the case of a dual-frequency single constellation user, or real scenario with GPS, and almost instantaneously with future three-frequency GNSS data, once the initial convergence of the user tropospheric delay is achieved. In both cases the WARTK technique also used the LAMBDA method to complete single-epoch real-time user carrier phase ambiguity fixing.
These results have been obtained with a GPS+Galileo receiver, gathering simultaneous simulated signals of Galileo and GPS satellites, and are being confirmed with large actual datasets in an on-going project.
Critical to the demonstration of these results, we acknowledge two key points: understanding the main factors influencing the estimation of the ionospheric delays (by the WARTK CPF) and transmitting these data to users (by means of the WARTK user interpolation method), and the use of optimal precise ionospheric and geodetic models and measurements at both the CPF and user levels in order to maximize the efficiency in real-time long-baseline carrier phase ambiguity fixing, and hence user accuracy and integrity.
This can be done with an affordable bandwidth, especially by using the recently proposed space-state representation requiring a bandwidth of less than 600 bps for a single constellation, corresponding to 40 ground receivers tracking 30 satellites (M. Hernández-Pajares et alia, 2009b).
Moreover, we should note that the WARTK CPF may be used to support precise navigation while at the same time generating accurate real-time data products for many different user communities, including those with such interests as precise ionospheric models for space weather, instantaneous tropospheric delay determination for weather forecasting, and improvements in satellite clocks and orbits.
For the complete story, including figures, graphs, and images, please download the PDF of the article, above.
ManufacturersThe ESA/ESTEC test bench used a GSS7700 GPS/SBAS simulator and GSS7800 Galileo RF constellation simulator from Spirent Communications plc, Paignton, UK.
Manuel Hernández-Pajares, J. Miguel Juan, and Jaume Sanz are associate professors at the Polytechnical University of Catalonia (UPC). Their current research interest is in the area of GPS ionospheric tomography, GPS data processing algorithms, satellite-based augmentation systems (SBAS) and precise radionavigation. They have recently founded the spin-off company gAGE-NAV S.L.
Angela Aragon-Angel and Pere Ramos-Bosch are researchers at the Technical University of Catalonia (UPC). Their working topics range from radio occultation to precise positioning and navigation within the area of GNSS data processing.
Dennis Odijk is research fellow and Peter Teunissen is professor in the new GNSS Research Lab of Curtin University of Technology, Australia. Before moving to Australia, they both worked at Delft University of Technology, where Peter Teunissen still holds a chair.
Jaron Samson, Michel Tossaint and Michelangelo Albertazzi are radionavigation system engineers at the European Space Agency (ESTEC, The Netherlands). Samson and Albertazzi work for ESA’s Technical Directorate, while Toussaint is a member of ESA’s GNSS Evolutions team.
Peter de Bakker obtained his M.Sc.and has started as a Ph.D. candidate on the subject of precise point positioning and integrity monitoring, both at Delft University of Technology.
Sandra Verhagen obtained her Ph.D. and M.Sc. from Delft University of Technology and is now an assistant professor at the same university. Her research interests are carrier phase ambiguity resolution and quality control for real-time kinematic GNSS applications. Verhagen is president of International Association of Geodesy Commission 4 “Positioning and Applications.”
Hans van der Marel is an assistant professor at Delft University of Technology, The Netherlands. He is involved in research on high precision GNSS positioning and navigation using GPS and Galileo, and scientific and meteorological applications of GNSS.
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