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M.SC. in Electrical and Electronics Engineering (With Thesis)
EEE 601 | Course Introduction and Application Information
| Course Name |
Fast Filtering Algorithms
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
EEE 601
|
Fall/Spring
|
3
|
0
|
3
|
7.5
|
| Prerequisites |
None
|
|||||
| Course Language |
English
|
|||||
| Course Type |
Elective
|
|||||
| Course Level |
Third Cycle
|
|||||
| Mode of Delivery | - | |||||
| Teaching Methods and Techniques of the Course | - | |||||
| National Occupation Classification | - | |||||
| Course Coordinator | - | |||||
| Course Lecturer(s) | ||||||
| Assistant(s) | - | |||||
| Course Objectives | The course aim is to understand the relations between wavelets, filter banks, and multirate systems in area of signal processing and gain the skill in the area of time-frequency analysis of the continuous and discrete signals. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | The course will cover fast wavelet transform algorithms – relation to filter banks, wavelet packets construction of wavelets, biorthogonality and biorthogonal basis, biorthogonal system of wavelets - construction, and the lifting scheme. |
|
|
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 | Discrete-time Filters | A Wavelet Tour of Signal Processing, Mallat, Ch. 3 | |
| 2 | Sampling Rate Change Operations | A Wavelet Tour of Signal Processing, Mallat, Ch. 3 | |
| 3 | Filter Banks | A Wavelet Tour of Signal Processing, Mallat, Ch. 7 | |
| 4 | Perfect Reconstruction | A Wavelet Tour of Signal Processing, Mallat, Ch. 7 | |
| 5 | Modulation and Polyphase Representations | A Wavelet Tour of Signal Processing, Mallat, Ch. 7 | |
| 6 | MATLAB® Wavelet Toolbox | ||
| 7 | Orthogonal Filter Banks | A Wavelet Tour of Signal Processing, Mallat, Ch. 7 | |
| 8 | Midterm | ||
| 9 | Maxflat Filters | The course slides | |
| 10 | Multiresolution Analysis | A Wavelet Tour of Signal Processing, Mallat, Ch. 9 | |
| 11 | Orthogonal Wavelet Bases | The course slides | |
| 12 | Mallat Pyramid Algorithm | The course slides | |
| 13 | Accuracy of Wavelet Approximations | The course slides | |
| 14 | Convergence of the Cascade Algorithm | The course slides | |
| 15 | Wavelet Compression Algorithms | The course slides | |
| 16 | Review of the Semester |
| Course Notes/Textbooks | The textbook referenced above and course |
| 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 |
60
|
|
| Weighting of End-of-Semester Activities on the Final Grade |
40
|
|
| 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
|
35
|
35
|
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
22
|
22
|
| 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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