Spectral Аnalysiа
Course: Geophysics and computer processing of geological and geophysical data
Structural unit: Educational and Scientific Institute "Institute of Geology"
Title
Spectral Аnalysiа
Code
ВК 4
Module type
Вибіркова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2022/2023
Semester/trimester when the component is delivered
7 Semester
Number of ECTS credits allocated
3
Learning outcomes
Series, integral and Fourier transform.
Types and functions of spectra.
Data sampling.
Sample theorem for one-dimensional functions.
Kotelnikov interpolation series.
Correlation and autocorrelation function.
Basic types of filters.
Sample theorem for multidimensional data.
Spectra of geophysical fields that depend on two spatial coordinates.
Interpolation of two-dimensional data.
Sequential analysis.
Schedule for inharmonic functions.
Discrete multidimensional Walsh transformation.
Find the amplitude and phase spectra of geophysical data,
Apply the basic theorems on Fourier transform in the calculation of spectra,
Use the Kotelnikov-Shannon interpolation schedule to recover data
Apply spectral analysis in geophysics,
Apply modern methods of spectral analysis to solve geological problems and acquire skills of independent use and study of literature in mathematical disciplines.
Form of study
Full-time form
Prerequisites and co-requisites
Knowledge of mathematics, physics, chemistry
Course content
Acquaintance and mastering of modern methods of spectral analysis, theoretical positions and basic applications of mathematical methods of spectral analysis in geology.
Recommended or required reading and other learning resources/tools
Planned learning activities and teaching methods
Lectures, practical classes and independent work of students.
Assessment methods and criteria
The control is carried out according to the modular rating system and includes: practical and independent work (where students must demonstrate the quality of acquired knowledge and solve problems using the methods and tools outlined by the teacher) and 7 written tests. The final assessment is conducted in the form of a written and oral exam.
Language of instruction
Ukrainian
Lecturers
This discipline is taught by the following teachers
Departments
The following departments are involved in teaching the above discipline