COURSE UNIT TITLE

: TRANSFORM THEORY AND ITS APPLICATIONS

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
EEE 5131 TRANSFORM THEORY AND ITS APPLICATIONS ELECTIVE 3 0 0 9

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

ASSOCIATE PROFESSOR MEHMET EMRE ÇEK

Offered to

ELECTRICAL AND ELECTRONICS ENGINEERING (ENGLISH)
ELECTRICAL AND ELECTRONICS ENGINEERING (ENGLISH)
ELECTRICAL AND ELECTRONICS ENGINEERING (ENGLISH)

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 short time Fourier transform and Wavelet transform.
4. The course aims noise elimination by using Hilbert Huang transform
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 order to use short time Fourier 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, importance of orthogonality in transform theory.
2 Fourier Series and Fourier Transform
3 Discrete Fourier Transform
4 Fast Fourier Transform.
5 Cosine and Sine Transforms, Hartley Transform
6 Laplace Transform.
7 Midterm Exam
8 Short time Fourier Transform. Gabor Transform and Its Applications
9 Wavelet Transform
10 Fractional Fourier Transform
11 Hilbert Huang Transform
12 Discrete Chirp-Fourier Transform
13 Orthogonal Polynomail Transforms
14 Term Project Meeting
15 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 Transforms", Prentice Hall,New Jersey

Planned Learning Activities and Teaching Methods

Lectures, Homeworks and Term Project

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MD Midterm
2 PR Proje
3 HW Homework
4 QZ Quiz
5 BNS BNS MD* 0.30 + PR * 0.30 + HW * 0.20 + QZ * 0.20


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

Further Notes About Assessment Methods

None

Assessment Criteria

Assignments
Examination
Term Project

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 14 3 42
Preparing assignments 3 16 48
Preparations before/after weekly lectures 13 7 91
Preparation for midterm exam 1 16 16
Project Preparation 1 20 20
Quiz etc. 4 1 4
Midterm 1 3 3
TOTAL WORKLOAD (hours) 224

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.154544
LO.254544
LO.354544
LO.454544
LO.5545455