Course Details

Analysis of Measuring Data

DEB054 course is part of 4 study plans

Ph.D. full-t. program DPC-GK compulsory-elective Winter Semester 1st year 8 credits

Ph.D. combi. program DKC-GK compulsory-elective Winter Semester 1st year 8 credits

Ph.D. full-t. program DPA-GK compulsory-elective Winter Semester 1st year 8 credits

Ph.D. combi. program DKA-GK compulsory-elective Winter Semester 1st year 8 credits

Planning of experimentsMultidimensional quantities and their characteristics. Accuracy measures and their meaning. Testing and analysis of measurement results and values entering the adjustment process. Physical and mathematical correlation. Partial and multi-dimensional correlation. Matrix of correlation coefficients, covariance matrix. Systematical errors. Laws of error propagation. Errors of composite functions. Analysis of error limits. Adjustment of correlated measurements. Block adjustment. Collocation. Kalman filter. Robust adjustment methods. Analysis of covariance and weight matrixes. Planning of experiments, optimization methods. Design of methodology and technology for complex accuracy evaluation in doctor thesis.

Course Guarantor

doc. Ing. Josef Weigel, CSc.

Institute

Institute of Geodesy

Learning outcomes

The aim of the course is to acquire complex knowledges about methods of analysis measuring data acquired by different technologies. For example, correlated data, data subject to systemic effects, repeated data, etc. will be discussed. The output of the study is the analysis and processing of a sample of data based on the agreement of the supervisor and the subject guarantor.

Prerequisites

Methods of mathematical and statistical analysis. Fundamentals of data analysis and adjustment.

Planned educational activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations. Lectures, self education, consultations.

Forms and criteria of assessment

The subject is completed by examining and processing the data sample.

Specification of controlled instruction, the form of instruction, and the form of compensation of the absences

Vymezení kontrolované výuky a způsob jejího provádění stanoví každoročně aktualizovaná vyhláška garanta předmětu.

Lecture

3 hours/week, 13 weeks, elective

Syllabus of lectures

1. Multidimensional quantities. Accuracy measures.
2. Testing and analysis of measurements results. Physical and mathematical correlation. Testing of inputs of adjustment process.
3. Systematical errors. Laws of error propagation. Errors of composite functions.
4. Matrix of correlation coefficients, covariance matrix. Adjustment of correlated measurements. Block adjustment.
5. Collocation. Kalman filter. Robust adjustment. Analysis of covariance and weight matrixes.
6. Planning of experiments. Optimization methods.