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Methods of GNSS Measurements Processing
Major: Geodesy
Code of Subject:
Credits: 3
Department: Higher Geodesy and Astronomy
Lecturer: assistant Lompas Oleksandr
Semester: 2 семестр
Mode of Study: заочна
Learning outcomes:
• Perform mathematical and statistical processing of scientific and applied activities;
• The ability to demonstrate in-depth knowledge and skills to conduct experiments, collect data, modeling and analysis of the results, systematic thinking and apply creativity to the formation of innovative ideas in geodesy and land management;
• Search and analysis of information from different sources and conducting research;
• The ability to demonstrate in-depth knowledge and skills to conduct experiments, collect data, modeling and analysis of the results, systematic thinking and apply creativity to the formation of innovative ideas in geodesy and land management;
• Search and analysis of information from different sources and conducting research;
Required prior and related subjects:
Space geodesy,
Higher mathematics.
Mathematical Statistics
Programming
Higher mathematics.
Mathematical Statistics
Programming
Summary of the subject:
Types of satellite measurements. Classification of measurement errors. The numerical characteristics of distribution errors. Criteria for evaluating the accuracy of measurements. Rejection measurements. Numerical methods for solving equations in one variable. Systems of linear algebraic equations. Methods for solving systems of linear algebraic equations. Exact methods. Iterative methods. Recovery tabular given function. Lagrange Interpolation polynomial. Spline interpolation. Approximation spreadsheet functions. Linear regression. Approximation by trigonometric and power polynomials. Methods of numerical differentiation and integration. Objectives and methods of optimization.
Recommended Books:
1. Zazulyak P.M., Havrysh V.I., Yevseyeva E.M., Yosypchuk M.D. Osnovy matematychnoho opratsyuvannya heodezychnykh vymiryuvan'.- L'viv: Rastr-7.- 2007.- 408 s.
2. Dzhenkins G., Vatts D. Spektralnyiy analiz i ego prilozheniya, t. 1, t. 2.- M.: Mir, 1972.
3. Prokopenko Yu.V., Tatarchuk D.D., Kazmirenko V.A. Obchyslyuval'na matematyka :Navch. posib.,- K.:2011.- 224s.
2. Dzhenkins G., Vatts D. Spektralnyiy analiz i ego prilozheniya, t. 1, t. 2.- M.: Mir, 1972.
3. Prokopenko Yu.V., Tatarchuk D.D., Kazmirenko V.A. Obchyslyuval'na matematyka :Navch. posib.,- K.:2011.- 224s.
Assessment methods and criteria:
written reports by laboratory work, oral examination, test (30%);
final control (70 %, control measure, exam), written-oral form (70%).
final control (70 %, control measure, exam), written-oral form (70%).