Further Development of the L2/L1-norm GOCA Kalman-Filtering DLL and Extension to the Computation and Visualization of Variance Estimations and Probability and Forecasting States

Master's Thesis from the year 2006 in the subject Geography / Earth Science - Cartography, Geographic Information Science and Geodesy, grade: 1.3, University of Applied Sciences Karlsruhe (Geomatik), course: Master of Geomatics, language: English, abstract: As further development of GOCA- (GNSS/LPS/LS-based Online Control and Alarm Systems) software, the Kalman filter was developed as additional module to monitor besides pure object point displacement also the velocity and the acceleration in a specified time interval. In this Master thesis the Kalman filter algorithm is modified, and additional capabilities are added. The additional capabilities include; first, a forecasting of expected displacement, velocity and acceleration to future. Second, computing the time at which the point displacement and velocity is expected to exceed the given critical values. Two estimation algorithms are used in the GOCA-Kalman filtering; first, least squares adjustment (L2-norm estimation). Second, L1-estimation. Data analysis of given projects were to be carried out and compared using both adjustment algorithms. To design and develop the GOCA-Kalman filter four steps are applied; first step, the GOCA-Kalman filter is realized and tested using MATLAB to create the mathematical algorithm and test the results of standard point given displacement, e.g. constant velocity displacement , parabola displacement, etc . Second step, a VC++ dynamic link library (.dll) is created. Third step, the DLL file was embedded in the GOCA software by calling the DLL file and its related libraries. And forth step, the Kalman filter graphics part had to be modified to show the state vector components (displacement, velocity, and acceleration) with their standard deviations, and additional the forecasted value and its standard deviation would be shown in the graphics part. Additional work is added to this master thesis to make artificial displacement GKA-files (GNSS/LPS/LS input files in the GOCA-software), where points displacements with linear, parabola etc are created. The software was realized using MATLAB GUI and named GKA-create.

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Younis G. (2015): Practical Method to Solve Large Least Squares Problems Using Cholesky Decomposition . Geodesy and Cartography, Volume 41, Issue 3, Taylor and Francis, ISSN : 2029-6991 (Print), 2029-7009 (Online). Younis G. (2015): Local earth gravity/potential modeling using ASCH. AJGS, Springer, Berlin / Heidelberg , DOI: 10.1007/s12517-014-1767-2. Online ISSN: 1866-7538 Younis G. (2014) : The use of Smart Phones for solving Mathmatical Problems for Engineering Students, First National Conference in Teaching and Learning " Toward Creative Initiatives in Teaching and Learning in Higher Education" , 2-3.Dec.2014. Palestine Polytechnic University. Hebron, Palestine. Ghadi Younis (2013):Regional Gravity Field Modeling with Adjusted Spherical Cap Harmonics in an Integrated Approach, Schriftenreihe Fachrichtung Geodäsie der Technischen Universität Darmstadt (39). Darmstadt . ISBN 978-3-935631-28-0 [Book], (2013). Janpaule I., Jäger R., Younis G., Kaminskis J. and Zarins (2013): DFHRS-BASED COMPUTATION OF QUASI-GEOID OF LATVIA, Geodesy and Cartography, Taylor & Francis Vol 39:(1) 11-17, ISSN 2029-6991 print / ISSN 2029-7009 online. Jäger R., Kaminskis J., Strauhmanis J. and Younis G. (2012): Determination of Quasi-geoid as Height Component of the Geodetic Infrastructure for GNSS-Positioning Services in the Baltic States, Lativian Journal of Physics and Technical Sciences, N 3, Vol. 49, ISSN 0868 - 8257. Chiriac V., Nistor-lopatenco L., Grama V., Jäger R., Sphon P. and Younis G. (2011): Development of new geodetic ifrastructure in the Republic of Moldova. EUREF-Symposia 2011 , Chisinau, Molodva. Younis G., Jäger, R., Becker M.(2011): Transformation of Global Spherical Harmonic Models of the Gravity Field to a Local Adjusted Spherical Cap Harmonic Model. AJGS, Springer, Berlin / Heidelberg , DOI: 10.1007/s12517-011-0352-1. Jäger, R., S. Kälber and Younis G. (2010): The New RTCM 3.1 Transformation Messages - Declaration, Generation from Reference Transformations and Implementation as a Server-Client Concept for GNSS-Services. Bulletin of Geodesy and Geomatics - BGG, issue 2-3. Ghadi Younis (2006): Further development of the L2/ L1-norm GOCA Kalman-filtering DLL and extension to the computation and visualisation of variance estimations and probability and forecasting states. Master Thesis at Hochschule Karlsruhe - University of Applied Sciences , Karlsruhe, Germany. ISBN: 978-3-656-70194-1 , ISBN: 978-3-656-70383-9