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EEE5015-TRANSFORM THEORY AND ITS APPLICATIONS


COURSE OBJECTIVES:

Orthogonal signal transforms with nonsinusoidal basis functions.


SYLLABUS:

WEEK 1-- Introduction to This Course
WEEK 2-- Fourier Series and Fourier Transform
WEEK 3-- Discrete Fourier Transform
WEEK 4-- Cosine and Sine Transforms
WEEK 5-- Cosine and Sine Transforms Cont.
WEEK 6-- Laplace Transform
WEEK 7-- Z Transform
WEEK 8-- Karhunen-Loewe Transform
WEEK 9-- Midterm Exam
WEEK 10-- Hilbert Transform and Its Applications
WEEK 11-- Gabor Transform and Its Applications
WEEK 12-- Zak Transform and Its Applications
WEEK 13-- Wavelet Transform
WEEK 14-- Applications of Presented Transforms on Signals and Images


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

SUPPLEMENTARY TEXTBOOKS:

1. K. R. Rao, P. Yip (Editors), "The Transform and Data Compression Handbook", CRC Press, 2000.
2. L. Debnath, D. Bhatta, "Integral Transforms and Their Applications", Second Edition, Chapman and Hall/CRC Taylor and Francis Group, 2007.


LECTURE NOTES:



HOMEWORKS:

Homework 1

Homework 3


ASSIGMENTS:

Ass. 1 (in Turkish)



EXAMS:

Midterm 2009  Solution

Final Exam 2009  Solution



PROJECT:

In this course, a project will presented by the students. Projects can be done by teams of two or four students. You can use MATLAB in your project. The projects will be graded based on a project report as well as an in-class presentation.

Subject of the Term Projects (in Turkish)

Project presentation rules (in Turkish)



GRADES:

Grade Section Percent (%)
Midterm 25
Project 45
Final 30