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| JFZ4015 | Numerical Spectral Analysis | 2+0+0 | ECTS:4 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Elective | | Department | DEPARTMENT of GEOPHYSICAL ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 2 hours of lectures per week | | Lecturer | Prof. Dr. Yusuf BAYRAK | | Co-Lecturer | None | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The student should obtain principles and applications of spectral estimation. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | learn principles and applying of spectral methods. | 1,2 | | | LO - 2 : | learn developing of computer programs for spectral methods. | 1,2 | | | LO - 3 : | have experience for programming and evaluating of geophysical data by spectral methods. | 1,2 | | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Sampling and analogue to digital conversion, design of digital filters, anti-aliasing filter, windowing, applications of Digital System Functions, decimation and interpolation techniques, Amplitude and phase spectrum, power spectrum, nonperiodic-to-periodic function conversion, digital application of discrete Fourier series to periodic functions. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | General information about spectral methods that used in the geophysics | | | Week 2 | Discrete Fourier transform | | | Week 3 | Fast Fourier transform | | | Week 4 | 2-D Fourier transform | | | Week 5 | Discrete Hartley transform | | | Week 6 | 2-D Hartley transform | | | Week 7 | Relations between Fourier and Hartley transform | | | Week 8 | Mid-term exam | | | Week 9 | Convolution of the data | | | Week 10 | Auto-corelation and cross-corelation of data | | | Week 11 | Noise and noise elimination techniques | | | Week 12 | Numerical filters | | | Week 13 | Windowing of data | | | Week 14 | Hilbert Transform | | | Week 15 | Deconvolution by method LS | | | Week 16 | End-of-term exam | | | |
| 1 | Başokur, A. T. 2007; Spektral Analiz ve Sayısal Süzgeçler, TMMOB Jeofizik Mühendisleri Odası, Ankara | | | |
| 1 | Buttkus, B. 1991;Spektral Analysis and Filter Theory in Applied Geophysics, Springer, UK | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 8 | 09/11/2011 | 1,5 | 30 | | Homework/Assignment/Term-paper | 12 | 14/12/2011 | 2 | 20 | | End-of-term exam | 16 | 07/01/2012 | 1,5 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 1 | 14 | 14 | | Arasınav için hazırlık | 4 | 1 | 4 | | Arasınav | 2 | 1 | 2 | | Ödev | 1 | 5 | 5 | | Dönem sonu sınavı için hazırlık | 6 | 1 | 6 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 75 |
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