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| GEOG0615-4 | Topography: theory of errors and GNSS | |||||
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| Duration : | 30h Th, 22h Pr | |||||
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| Holder(s) : | René Warnant | |||||
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| Course contents : | The first part of the course is dedicated to the theory of errors. The basic concepts of the theory of errors and of the least square method are presented. The course studies the notion of propagation of errors and shows how the concept of variance-covariance matrix (or cofactors) allows to derive the equations giving the maximum acceptable error and the optimal value of the unknown parameters. Then, this theory is applied to practical problems in topography and in GNSS. The second part of the course is dedicated to Global Navigation Satellite Systems (mainly GPS but also the European system Galileo). The course analyses in details the different components of GPS, the error sources affecting the measurements, the correction and mitigation methods. Then, the course discusses the main advantages and disadvantages of different observation techniques using GPS for applications in topography. | |||||
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| Course objective : | The first part of the course gives an introduction to the theory of errors and to the least square method. The goal is to give students the basic tools to solve practical problems in topography (optimal value of a measured or a computed parameter, propagation of errors, maximum acceptable error, ...). The second part of the course studies in details the different components of GNSS. The goal is to give students the necessary know-how to be able to use GNSS for applications in topography. In particular, students will be able to assess the reliability of their results and to identify the origin of a possible problem in GPS measurements. | |||||
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| Prerequisites : | Basic course of general physics and mathematics (mainly statistics and matrix algebra). | |||||
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| Workshops : | Practical work is divided in 2 parts : - exercises (4 x 4 hours) where the theory of errors is used to solve practical problems in topography; - 2 days of field work where students will use GPS receivers and total stations for practical applications in topography. A report will be written after every exercise. | |||||
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| Organization : | The course is divided in 10 lectures of 3 hours (one lecture per week during the second semester). | |||||
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| Written notes : | Lecture notes are available. | |||||
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| Assessment : | The final result is the weighted mean of : - An oral exam on the material seen during the theoretical lectures (50%) ; - A written exam where the students will have to solve a practical problem using the theory of errors (25 %) ; - The arithmetic mean of all the reports written on the field work (25%). The success at the oral exam is indispensable for the global success. | |||||
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| Contacts : | Pr. René Warnant Royal Observatory of Belgium Avenue Circulaire, 3 B-1180 Brussels (Belgium) Tél : 02/373 02 51 Email : R.WARNANT@oma.be or Rene.Warnant@ulg.ac.be | |||||
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ULg : Students and Studies Administration - Academic Affairs
Contact : Monique Marcourt, direction A.E.E.
Date of data : 27/02/2006
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