Ionosphere Modelling for GALILEO Single Frequency Users

Nowadays the ionosphere constitutes one of the most often modelled natural media. Indeed each GPS receiver among nearly two million units sold daily throughout the world runs a model to mitigate the ionospheric effect affecting the signal propagation from the satellites. This propagation is delayed by the free electrons in the atmosphere so that the navigation signals appear to travel distances larger than actual ones by 7m on average. Hence this delayed propagation deteriorates the positioning accuracy deemed on a 10 − m level for mass-market applications mainly involving single frequency users. Tomorrow the European navigation system Galileo will offer a new mitigation strategy to single frequency users. This strategy will rely on the NeQuick ionospheric model and associated broadcast information. To be properly implemented, it must be extensively described to future Galileo users. These users will also wonder about its effectiveness in accounting for the ionospheric delay. The PhD research covered by the present thesis has built on Belgian expertise in ionosphere monitoring to investigate the NeQuick model and its use for Galileo. It began with the collection and handling of ionosphere measurements including GPS data. It analysed various situations at different places in the world encompassing a whole year (2002). This PhD thesis provides the ins and outs of the Galileo Single Frequency Ionospheric Correction Algorithm. It gathers an algorithm description, a performance evaluation and a variant investigation. In the shape of a paper collection, it discloses many figures as visual entry-points into the juxtaposed text and includes many references allowing to dig into the details. The algorithm performances are usefully characterised both in terms of delay mitigation and positioning accuracy. On the one hand, the residual ionospheric delay reaches 31% for the chosen sites and year. On the other hand, the positioning accuracy amounts to 6m horizontally and 9.3m vertically. The performance evaluation allowed to emphasise several aspects of the Galileo ionospheric correction. This correction depends largely on the modelling of the topside, the upper part of the ionosphere, which hosts more complex physical processes. It owes its good performances to data ingestion, the model adaptation technique to actual measurements underlying the Galileo algorithm. It does not necessarily provide highly correlated correction levels in terms of delay on the one hand and positioning on the other. It enables the definition of alternative regional procedures following a compatible design but coping with its weaknesses. The present thesis paves the way for future work related to ionosphere modelling for Galileo single frequency users. It supplies comparative information for the algorithm assessment in the framework of successive phases of Galileo deployment. It establishes a conceptual basis for an Assisted Ionospheric Correction Algorithm (A-ICA) disseminating more flexible ionospheric information thanks to the integration of Global Navigation Satellite Systems and telecommunications.

[1]  L. Ciraolo,et al.  Are models predicting a realistic picture of vertical total electron content? , 2004 .

[2]  Ivan A. Galkin,et al.  Data ingestion and assimilation in ionospheric models , 2009 .

[3]  Pencho Marinov,et al.  Comparison of NeQuick, PIM, and TSM model results for the topside ionospheric plasma scale and transition heights , 2007 .

[4]  Iwona Stanislawska,et al.  Near Earth space plasma monitoring under COST 296 , 2009 .

[5]  Sandro M. Radicella,et al.  A near‐real‐time model‐assisted ionosphere electron density retrieval method , 2006 .

[6]  W.A. Feess,et al.  Evaluation of GPS Ionospheric Time-Delay Model , 1987, IEEE Transactions on Aerospace and Electronic Systems.

[7]  Cathryn N. Mitchell,et al.  Ionospheric delay corrections for single-frequency GPS receivers over Europe using tomographic mapping , 2009 .

[8]  P. A Bradley,et al.  A simple model of the vertical distribution of electron concentration in the ionosphere , 1973 .

[9]  B. Arbesser-Rastburg,et al.  Effects on satellite navigation , 2007 .

[10]  René Warnant,et al.  Measuring total electron content with GNSS: Investigation of two different techniques , 2009 .

[11]  René Warnant Etude du comportement du Contenu Electronique Total et de ses irrégularités dans une région de latitude moyenne. Application aux calculs de positions relatives par le GPS , 1996 .

[12]  Reinhart Leitinger,et al.  An improved bottomside for the ionospheric electron density, model NeQuick , 2005 .

[13]  Sandro M. Radicella,et al.  Ionospheric models for GNSS single frequency range delay corrections , 2008 .

[14]  Allison Kealy,et al.  A performance analysis of future global navigation satellite systems , 2004 .

[15]  Elsa Mohino,et al.  Understanding the role of the ionospheric delay in single-point single-epoch GPS coordinates , 2008 .

[16]  Bruno Zolesi,et al.  COST 271 Action - Effects of the upper atmosphere on terrestrial and Earth-space communications: introduction , 2004 .

[17]  Raul Orus Pérez,et al.  Contributions on the improvement, assessment and application of the global ionospheric vtec maps computed with gps data , 2005 .

[18]  Sandro M. Radicella,et al.  An analytical model of the electron density profile in the ionosphere , 1990 .

[19]  Sandro M. Radicella,et al.  A family of ionospheric models for different uses , 2000 .

[20]  Didier Flament EGNOS The European Geostationary Navigation Overlay System - A cornerstone of Galileo , 2007 .

[21]  Karl Rawer,et al.  Replacement of the present sub-peak plasma density profile by a unique expression , 1982 .

[22]  Bodo W. Reinisch,et al.  Ionosonde networking, databasing, and Web serving , 2006 .

[23]  J. Klobuchar,et al.  Eye on the Ionosphere: The Spatial Variability of Ionospheric Range Delay , 2000, GPS Solutions.

[25]  D. Anderson,et al.  Algorithms for minimization without derivatives , 1974 .

[26]  Sandro M. Radicella,et al.  A new version of the NeQuick ionosphere electron density model , 2008 .

[27]  Sandro M. Radicella,et al.  Diffusive equilibrium models for the height region above the F2 peak , 2002 .

[28]  Justine Spits,et al.  Mitigation of ionospheric effects on GNSS , 2009 .

[29]  Sandro M. Radicella,et al.  Calibration errors on experimental slant total electron content (TEC) determined with GPS , 2007 .

[30]  Brent M. Ledvina,et al.  The ionosphere, radio navigation, and global navigation satellite systems , 2005 .

[31]  Frank van Diggelen,et al.  A-GPS: Assisted GPS, GNSS, and SBAS , 2009 .

[32]  Roberto Prieto-Cerdeira,et al.  NeQuick: In-Depth Analysis and New Developments , 2006 .

[33]  Sandro M. Radicella,et al.  The NeQuick model genesis, uses and evolution , 2009 .

[34]  René Warnant,et al.  Modelling the Ionosphere over Europe: Investigation of NeQuick Formulation , 2008 .

[35]  B. Zolesi,et al.  Improved quality of service in ionospheric telecommunication systems planning and operation: Cost 251 Major Achievements. , 2000 .

[36]  Benoît Bidaine Ionosphere Crossing of GALILEO Signals , 2006 .

[37]  L. Ciraolo,et al.  Topside ionosphere and plasmasphere: Use of NeQuick in connection with Gallagher plasmasphere model , 2007 .

[38]  R. Warnant,et al.  Ionosphere Modelling Based on the NeQuick Model and GNSS Data Ingestion , 2009 .

[39]  D. Odijk Fast precise GPS positioning in the presence of ionospheric delays , 2002 .

[40]  Ljiljana R. Cander,et al.  Testing regional vertical total electron content maps over Europe during the 17–21 January 2005 sudden space weather event , 2007 .

[41]  Sandro M. Radicella,et al.  A model assisted ionospheric electron density reconstruction method based on vertical TEC data ingestion , 2005 .

[42]  J. Klobuchar Ionospheric Time-Delay Algorithm for Single-Frequency GPS Users , 1987, IEEE Transactions on Aerospace and Electronic Systems.

[43]  R. Warnant,et al.  The increase of the ionospheric activity as measured by GPS , 2000 .

[44]  P. S. Epstein,et al.  REFLECTION OF WAVES IN AN INHOMOGENEOUS ABSORBING MEDIUM. , 1930, Proceedings of the National Academy of Sciences of the United States of America.

[45]  Reinhart Leitinger,et al.  Topside electron density in IRI and NeQuick: Features and limitations , 2006 .

[46]  René Warnant,et al.  Towards an Improved Single - Frequency Ionospheric Correction: Focus on Mid - Latitudes , 2008 .

[47]  John A. Klobuchar,et al.  Eye on the Ionosphere: Correcting for Ionospheric Range Delay on GPS – Temporal Decorrelation , 2000, GPS Solutions.

[48]  J. Dudeney,et al.  The accuracy of simple methods for determining the height of the maximum electron concentration of the F2-layer from scaled ionospheric characteristics , 1983 .

[49]  Richard A. Snay,et al.  Continuously Operating Reference Station (CORS): History, Applications, and Future Enhancements , 2008 .

[50]  Sandro M. Radicella,et al.  The evolution of the DGR approach to model electron density profiles , 2001 .

[52]  S. M. Radicella,et al.  The improved DGR analytical model of electron density height profile and total electron content in the ionosphere , 1995 .

[53]  Jaume Sanz,et al.  Performance of different TEC models to provide GPS ionospheric corrections , 2002 .

[54]  Bernhard Hofmann-Wellenhof,et al.  GNSS - Global Navigation Satellite Systems: GPS, GLONASS, Galileo, and more , 2007 .

[55]  IONOSPHERIC PROPAGATION DATA AND PREDICTION METHODS REQUIRED FOR THE DESIGN OF SATELLITE SERVICES AND SYSTEMS , 1999 .