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M.SC. in Electrical and Electronics Engineering (With Thesis)
EEE 504 | Course Introduction and Application Information
| Course Name |
Bankaları / Wavelets and Filter Banks
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
EEE 504
|
Fall/Spring
|
3
|
0
|
3
|
7.5
|
| Prerequisites |
None
|
|||||
| Course Language |
English
|
|||||
| Course Type |
Elective
|
|||||
| Course Level |
Second Cycle
|
|||||
| Mode of Delivery | - | |||||
| Teaching Methods and Techniques of the Course | - | |||||
| National Occupation Classification | - | |||||
| Course Coordinator | - | |||||
| Course Lecturer(s) | ||||||
| Assistant(s) | - | |||||
| Course Objectives | The objective of this course is to establish the theory necessary to understand and use wavelets and related constructions. A particular emphasis will be put on constructions that are amenable to efficient algorithms. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | The course will consist of lectures, homework assignments and a project on a topic related to the student's area of interest. We will aim for the right balance of theory and applications. Analysis of Filter Banks and Wavelets, Design Methods, Applications, Hands-on Experience with Software. |
|
|
Core Courses | |
| Major Area Courses |
X
|
|
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
| Week | Subjects | Related Preparation | Learning Outcome |
| 1 | Why wavelets, filter banks, and multiresolution analysis, Signal spaces and operators ,Review of Fourier theory | Fourier and Wavelet Signal Processing, Kovacevic, Goyal and Vetterli, Ch. 1 | |
| 2 | Multirate signal processing, Time-frequency analysis | Fourier and Wavelet Signal Processing, Kovacevic, Goyal and Vetterli, Ch. 1 | |
| 3 | Series expansions of discrete-time signals, Analysis and design of filter banks | Fourier and Wavelet Signal Processing, Kovacevic, Goyal and Vetterli, Ch. 1 | |
| 4 | Orthogonal and biorthogonal filter banks, Tree-structured filter banks, Discrete wavelet transform | Fourier and Wavelet Signal Processing, Kovacevic, Goyal and Vetterli, Ch. 3 | |
| 5 | Multiresolution analysis, Iterated filter banks, Wavelets and filter banks | Fourier and Wavelet Signal Processing, Kovacevic, Goyal and Vetterli, Ch. 6 | |
| 6 | Wavelet series and its properties, Regularity and approximation properties | Fourier and Wavelet Signal Processing, Kovacevic, Goyal and Vetterli, Ch. 3 | |
| 7 | Frame theory, Oversampled filter banks | Fourier and Wavelet Signal Processing, Kovacevic, Goyal and Vetterli, Ch. 4 | |
| 8 | Continuous wavelet and short-time Fourier transforms | Fourier and Wavelet Signal Processing, Kovacevic, Goyal and Vetterli, Ch. 4 | |
| 9 | Midterm | ||
| 10 | Sparse representation, Linear and non-linear approximation in various bases | Fourier and Wavelet Signal Processing, Kovacevic, Goyal and Vetterli, Ch. 5 | |
| 11 | Non-linear signal estimation, Multidimensional filter banks and wavelets | Fourier and Wavelet Signal Processing, Kovacevic, Goyal and Vetterli, Ch. 5 | |
| 12 | Multiscale geometric representation and processing, Compressed sensing | Fourier and Wavelet Signal Processing, Kovacevic, Goyal and Vetterli, Ch. 7 | |
| 13 | Speech, audio, image, and video compression, Signal denoising | Fourier and Wavelet Signal Processing, Kovacevic, Goyal and Vetterli, Ch. 7 | |
| 14 | Feature extraction, Inverse problems | Fourier and Wavelet Signal Processing, Kovacevic, Goyal and Vetterli, Ch. 7 | |
| 15 | Review of the Semester | ||
| 16 | Review of the Semester |
| Course Notes/Textbooks | The textbook referenced above and course slides |
| Suggested Readings/Materials | Related Research Papers |
EVALUATION SYSTEM
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques | ||
| Portfolio | ||
| Homework / Assignments |
4
|
20
|
| Presentation / Jury | ||
| Project |
1
|
40
|
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
1
|
40
|
| Final Exam | ||
| Total |
| Weighting of Semester Activities on the Final Grade |
100
|
|
| Weighting of End-of-Semester Activities on the Final Grade | ||
| Total |
ECTS / WORKLOAD TABLE
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
3
|
48
|
| Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
0
|
|
| Study Hours Out of Class |
15
|
4
|
60
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
0
|
||
| Portfolio |
0
|
||
| Homework / Assignments |
4
|
15
|
60
|
| Presentation / Jury |
0
|
||
| Project |
1
|
37
|
37
|
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
20
|
20
|
| Final Exam |
0
|
||
| Total |
225
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
|
#
|
PC Sub | Program Competencies/Outcomes |
* Contribution Level
|
||||
|
1
|
2
|
3
|
4
|
5
|
|||
| 1 | Accesses information in breadth and depth by conducting scientific research in Electrical and Electronics Engineering; evaluates, interprets and applies information |
-
|
X
|
-
|
-
|
-
|
|
| 2 | Is well-informed about contemporary techniques and methods used in Electrical and Electronics Engineering and their limitations |
-
|
-
|
-
|
X
|
-
|
|
| 3 | Uses scientific methods to complete and apply information from uncertain, limited or incomplete data; can combine and use information from different disciplines |
-
|
-
|
X
|
-
|
-
|
|
| 4 |
Is informed about new and upcoming applications in the field and learns them whenever necessary. |
-
|
-
|
-
|
X
|
-
|
|
| 5 | Defines and formulates problems related to Electrical and Electronics Engineering, develops methods to solve them and uses progressive methods in solutions. |
-
|
-
|
-
|
-
|
X
|
|
| 6 | Develops novel and/or original methods, designs complex systems or processes and develops progressive/alternative solutions in designs. |
-
|
-
|
X
|
-
|
-
|
|
| 7 | Designs and implements studies based on theory, experiments and modeling; analyses and resolves the complex problems that arise in this process. |
-
|
-
|
X
|
-
|
-
|
|
| 8 | Can work effectively in interdisciplinary teams as well as teams of the same discipline, can lead such teams and can develop approaches for resolving complex situations; can work independently and takes responsibility. |
-
|
-
|
X
|
-
|
-
|
|
| 9 | Engages in written and oral communication at least in Level B2 of the European Language Portfolio Global Scale. |
-
|
-
|
X
|
-
|
-
|
|
| 10 | Communicates the process and the results of his/her studies in national and international venues systematically, clearly and in written or oral form. |
-
|
-
|
X
|
-
|
-
|
|
| 11 | Is knowledgeable about the social, environmental, health, security and law implications of Electrical and Electronics Engineering applications, knows their project management and business applications, and is aware of their limitations in Electrical and Electronics Engineering applications. |
X
|
-
|
-
|
-
|
-
|
|
| 12 |
Highly regards scientific and ethical values in data collection, interpretation, communication and in every professional activity. Adheres to the principles of research and publication ethics. |
X
|
-
|
-
|
-
|
-
|
|
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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