COURSE UNIT TITLE

: TRANSFORM THEORY AND ITS APPLICATIONS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
EEE 5015 TRANSFORM THEORY AND ITS APPLICATIONS 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

ASISTANT PROFESSOR MEHMET EMRE ÇEK

Offered to

ELECTRICAL AND ELECTRONICS ENGINEERING
ELECTRICAL AND ELECTRONICS ENGINEERING NON -THESIS (EVENING PROGRAM)
ELECTRICAL AND ELECTRONICS ENGINEERING

Course Objective

The objective of this course is to the following topics:
1. The course aims to review signal transforms with sinusoidal basis functions
2. The course aims to give Orthogonal signal transforms with non-sinusoidal basis functions.
3. The course aims to learn Walsh-Hadamard Transform. Haar Transform Slant Transform. Discrete Cosine transform.Generalized Wiener filtering.
4. The course aims Data compression and noise elimination by using wavelet transforms
5. The course aims to prepare a term project

Learning Outcomes of the Course Unit

1   The students are expected to review well known transforms
2   The students are expected to gain basic skills in rder to use Walsh-Hadamard Transform. Haar Transform Slant Transform. Discrete Cosine transform and wavelet transform
3   The students are expected to apply different transforms for noise elimination and compression, pattern recognition
4   The students are expected to learn the milestones of scientific&technological developments and applications in transform domain.
5   The students are expected to prepare a term Project and its report in order to use what they have learn to apply in signal processing

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction to This Course.
2 Fourier Series and Fourier Transform
3 Discrete Fourier Transform
4 Fast Fourier Transform.
5 Cosine and Sine Transforms
6 Laplace Transform.
7 Z Transform, Inverse Z-transform
8 Midterm Examination
9 Karhunen-Loewe Transform.
10 Hilbert Transform and Its Applications.
11 Gabor Transform and Its Applications. Short time Fourier Transform
12 Introduction to Wavelet Transform,
13 Applicatians of introduced transforms
14 Project Presentations

Recomended or Required Reading

A. D. Poularikas (Editor), The Transforms and Applications Handbook, Second Edition, CRC Press and IEEE Press, 2000.

References:
1. K. R. Rao, P. Yip (Editors), The Transform and Data Compression Handbook , CRC Press, 2000.
2. Larry C. Andrews and Bhimsen K. Shivamoggi, Integral Transforms for Engineers
3. L. Debnath, L., Bhatta, D., Integral Transforms and Their Applications , Second Edition, Chapman & Hall/CRC Taylor & Francis Group, 2007.
4. C.L. Phillips and J.M.Parr, Signals,Systems and Transform s , Prentice Hall,New Jersey

Planned Learning Activities and Teaching Methods

Lectures and Term Project

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 PRJ PROJECT
2 MTE MIDTERM EXAM
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE PRJ * 0.30 + MTE * 0.30 + FIN * 0.40
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) PRJ * 0.30 + MTE * 0.30 + RST * 0.40

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

emre.cek@deu.edu.tr

Office Hours

To be announced at the begining of the semester.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 3 39
Preparing assignments 10 7 70
Preparations before/after weekly lectures 13 4 52
Preparation for midterm exam 1 12 12
Preparation for final exam 1 16 16
Final 1 3 3
Midterm 1 3 3
TOTAL WORKLOAD (hours) 195

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.154544
LO.254544
LO.354544
LO.454544
LO.5545455

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

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