COURSE UNIT TITLE

: SIGNAL ANALYSIS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
DJJ 5018 SIGNAL ANALYSIS ELECTIVE 3 0 0 8

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

Offered to

Course Objective

in the first part of this course, undergraduate education in mathematics and physics topics learned in-process describes how to use geophysical data. In particular, the curriculum is mainly geophysical time series processing in the digital environment and the solution of problems by creating synthetic seismograms various filtering, correlation and convolution foreseen practical issues. The second part of the course, the theory of functions, with the support of complex analysis describes examples of advanced filtering. A large number of computer programs for paper industry mainly applied geophysics, which will be discussed in this course.

Learning Outcomes of the Course Unit

1   Time series processing of the digital environment.
2   The theory of functions of complex analysis supported with advanced filtering examples are described.
3   Description of the time series and wavelets.
4   The roots of complex numbers, complex numbers some theorems.
5   How to use geophysical seismic data processing issues in mathematics and physics.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Description of the time series and wavelets. The unit impulse function and its properties.
2 Formal explanation of the sampling theorem and aliasing phenomenon. Fourier series and Fourier transformations of physical explanations. Discrete Fourier transform and FFT definition, computer applications.
3 Numerical deconvolution theorems and applications in geophysics. And computer applications to synthetic seismograms.
4 Ideal and real filters, filters akozal properties. Various window types and computer applications.
5 Cross-correlation and autocorrelation functions, Parseval's theorem. Compliance (Matched) filters and applications.
6 Vibrosismik method, and computer applications. Stohastik signals and applications.
7 MIDTERM I.
8 Remind Functions theorem. The roots of complex numbers, complex numbers some theorems.
9 Convergent and divergent series, the Jordan curve theorem. General principle of convergence of Cauchy.
10 Cauchy-Riemann differential equations. Harmonic functions, Cauchy's integral theorem
11 Taylor's series, Laurent series, Residium theory, residiumların calculation. Cosalite conditions, the simple causal filters.
12 Butterworth filters and computer applications. Filtering of a signal back and forth, Recursive filters.
13 Levinson algorithm and computer applications. Kramers-Kronig relations, Hilbert transforms.
14 MIDTERM II.

Recomended or Required Reading

1) The Fourier Transform and its Applications by R.N. Bracewell, MacGraw-Hill Book Co., New York, 1965, 1978.
2) Digital Signal Processing by A.V. Oppenheim & R.W. Schafer, Prentice-Hall Co., Englewood Cliffs, New Jersey, 1975.
3) Digital Signal Processing and Time Series Analysis (Pilot Edition) by E.A. Robinson & M.T. Silvia, Holden-Day Inc., San Francisco, 1978.
4) Introduction to Digital Filtering in Geophysiscs by O. Kulhanek, Elsevier Co., Amsterdam, 1976.
5) Spektral Analysis in Geophysiscs by M. Bath, Elsevier Co., Amsterdam, 1974.
6) Time Sequence Analysis in Geophysics by E.R. Kanasewich, The University of Alberta Press, Edmonton, 1973.
7) Fundamentals of Geophysical Data Processing with Applications to Petroleum Prospecting by J.F. Claerbout, McGraw-Hill Book Co., New York, 1976.
8) Seismic Filtering by R.V. Nostrand (ed.), Society of Exploration of Geophysicists, Oklahoma, 1966.

Planned Learning Activities and Teaching Methods

presentation

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 ASG ASSIGNMENT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.20 + ASG * 0.20 + FIN * 0.60
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.20 + ASG * 0.20 + RST * 0.60


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

presentation
homework

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

atilla.ulu@deu.edu.tr
0232 278 5565

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 12 2 24
Tutorials 12 2 24
Preparations before/after weekly lectures 12 6 72
Preparation for midterm exam 2 25 50
Preparation for final exam 1 30 30
Midterm 2 2 4
Final 1 2 2
TOTAL WORKLOAD (hours) 206

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13
LO.13142311111555
LO.21143411111555
LO.33242311111555
LO.41142211111554
LO.53442511111555

CONTACT INFORMATION
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Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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