Data Processing Methods
Geophysical Engineering
Institute of Natural and Applied Sciences
Second Cycle (Master's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Data Processing Methods | FBE535 | Compulsory | Master's degree | 1 | Fall | 8 |
Name of Lecturer(s)
Associate Prof. Dr. Ertan PEKŞEN
Learning Outcomes of the Course Unit
1) Students apply the Fourier Transform to the data
2) Students filter the data in time domain
3) Students filter the data in frequency domain
4) Students design low, high, band-stop, band-pass digital filter in time and frequency domain
5) Students apply deconvolution to the data
6) Students apply Hankel transformation
7) Students apply Wavelet Transform
8) Students apply fractional derivative to a set of data
Program Competencies-Learning Outcomes Relation
| Program Competencies | |||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | ||
| Learning Outcomes | |||||||||||||||
| 1 | High | High | Middle | High | No relation | No relation | No relation | Middle | High | No relation | No relation | No relation | No relation | Middle | |
| 2 | High | High | Middle | High | No relation | No relation | No relation | Middle | High | No relation | No relation | No relation | No relation | Middle | |
| 3 | High | High | Middle | High | No relation | No relation | No relation | Middle | High | No relation | No relation | No relation | No relation | Middle | |
| 4 | High | High | Middle | High | No relation | No relation | No relation | Middle | High | No relation | No relation | No relation | No relation | Middle | |
| 5 | High | High | Middle | High | No relation | No relation | No relation | Middle | High | No relation | No relation | No relation | No relation | Middle | |
| 6 | High | High | Middle | High | No relation | No relation | No relation | Middle | High | No relation | No relation | No relation | No relation | Middle | |
| 7 | High | High | Middle | High | No relation | No relation | No relation | Middle | High | No relation | No relation | No relation | No relation | Middle | |
| 8 | High | High | Middle | High | No relation | No relation | No relation | Middle | High | No relation | No relation | No relation | No relation | Middle | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
None
Course Contents
In this course; digital filter theory, filters, frequency selective ideal filters, band-pass, high-pass, band stop ideal filter, hyperbolic filters, notch filter and some other filters, deconvolution, two-dimensional Fourier transform, Hankel transform, Wavelet transform and fractional derivative applications will be taught to the students.
Weekly Schedule
1) Introduction, Programing with MATLAB2) Fourier Transform, Properties of the Fourier Transform, Convolution, Correlation
3) Definition of Linear Filters, Sinc Response, Determination of the horizontal shift of the filter, Test of designed filters
4) Digital Filters, Low Pass Filter, Derivation of filter equation, Calculation of the filter coefficients, Numerical applications
5) Band-pass filters, Design a band-pass filter, Derivation of filter equation, Calculation of filter coefficients, Numerical applications, High-pass filters, Design a high-pass filter, Derivation of filter equation, Calculation of filter coefficients, Numerical applications
6) Band-stop filters, Design a band-pass filter, Derivation of filter equation, Calculation of filter coefficients, Numerical applications, Notch filter, Design a notch filter, Derivation of filter equation, Calculation of filter coefficients, Numerical applications
7) Hyperbolic Tangent Filters, Low-pass filters, Band-pass filters, High-pass filters, Band-stop filters
8) Midterm
9) Butterworth filters, Some other filters, Numerical applications
10) Filtering in Frequency Domain, Digital Filter Design in the Frequency Domain, Numerical Applications, Low-pass filters (hyperbolic tangent), Band-pass filters, High-pass filters, Band-stop filters, Numerical applications
11) Deconvolution, The concept of wavelet, Seismic deconvolution and definition of seismic trace, Calculation of filter coefficient by division, Calculation of filter coefficient by Wiener-Hopf, Calculation of filter coefficient by normal equations, Numerical applications
12) The two-dimensional Fourier Transform, Two-Dimensional Convolution, Two-Dimensional Filter Design
13) Hankel Transformation, Forward Modeling of Direct Current Resistivity method by Hankel Transformation
14) Wavelet, Short-Term Fourier Transform, Gabor transform (Stockwell Transform), Wavelet Transformation
15) Introduction to Fractional Derivative, Fractional Derivatives, Applications of Fractional Derivative
16) Final Exam
Recommended or Required Reading
1- Başokur, A.T., 2007, Spektral Analiz ve Sayısal Süzgeçler TMMOB JFMO Eğitim Yayınları No:8
Pınar, R., Akçığ, Z., 1995, Jeofizikte Sinyal Kuramı ve Dönüşümler, TMMOB JFMO Eğitim Yayınları No:3
Karamancıoğlu A 2012 Sayısal Sinyal İşleme 101 Nobel Yayınları
Ertürk, S., 2009, Sayısal İşaret İşleme, Birsen Yayınevi
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Drill and Practice
4) Modelling
5) Case Study
6) Lab / Workshop
7) Problem Solving
8) Project Based Learning
Assessment Methods and Criteria
Contribution of Semester Studies to Course Grade |
70% |
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Contribution of Final Examination to Course Grade |
30% |
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Total | 100% | ||||||||||||||
Language of Instruction
Other
Work Placement(s)
Not Required