Course Name | Signal Processing and Linear Systems |
Code | Semester | Theory (hour/week) | Application/Lab (hour/week) | Local Credits | ECTS |
---|---|---|---|---|---|
EEE 301 | Fall | 3 | 2 | 4 | 7 |
Prerequisites |
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Course Language | English | ||||||||
Course Type | Required | ||||||||
Course Level | First Cycle | ||||||||
Mode of Delivery | - | ||||||||
Teaching Methods and Techniques of the Course | |||||||||
Course Coordinator | |||||||||
Course Lecturer(s) | |||||||||
Assistant(s) |
Course Objectives | The purpose of this course is to provide students with the mathematical foundations and tools for analysis of signals processed by systems. This is a first step to understand how signals carry information and how systems process this information, which will be necessary for subsequent courses in the overall ETE program. |
Learning Outcomes | The students who succeeded in this course;
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Course Description | Topics covered in class include timedomain analysis of continuoustime and discretetime systems; Fourier series and periodic signals; Fourier transforms; sampling and discrete Fourier transforms; Discretetime signals and systems, Ztransforms. |
Related Sustainable Development Goals | |
| Core Courses | |
Major Area Courses | ||
Supportive Courses | ||
Media and Managment Skills Courses | ||
Transferable Skill Courses |
Week | Subjects | Required Materials |
1 | Signals and systems; introduction and mathematical preliminaries; Some examples of signals and systems | Chapter 1. Signals & Systems. Oppenheim & Willsky. ISBN 0136511759. |
2 | Signal classification and energy; basic operations with signals; classification of systems; basic system properties | Chapter 1. Signals & Systems. Oppenheim & Willsky. ISBN 0136511759. |
3 | LTI systems and the impulse response; convolution sum representation of DT LTI systems; examples and properties of DT LTI systems | Chapter 2. Signals & Systems. Oppenheim & Willsky. ISBN 0136511759. |
4 | Continuous time LTI systems; convolution integral representation; properties and examples; singularity functions | Chapter 2. Signals & Systems. Oppenheim & Willsky. ISBN 0136511759. |
5 | Fourier series representation of continuoustime periodic signals; convergence and Gibbs’ phenomenon; properties of CT FS | Chapter 3. Signals & Systems. Oppenheim & Willsky. ISBN 0136511759. |
6 | Discrete time Fourier series; properties of DT FS; Fourier series and LTI systems; frequency response and filtering; examples | Chapter 3. Signals & Systems. Oppenheim & Willsky. ISBN 0136511759. |
7 | Review for Midterm; motivation of the Fourier transform | Chapter 3. Signals & Systems. Oppenheim & Willsky. ISBN 0136511759. |
8 | The continuous time Fourier transform; Fourier transforms of periodic signals; properties of the CT Fourier transform; the convolution and multiplication properties with examples | Chapter 4. Signals & Systems. Oppenheim & Willsky. ISBN 0136511759. |
9 | The discrete time Fourier transform; DT Fourier transform properties and examples; duality in Fourier series and Fourier transform | Chapter 5. Signals & Systems. Oppenheim & Willsky. ISBN 0136511759. |
10 | The magnitude phase representation of the Fourier transform; frequency response of LTI systems; Bode plots; CT & DT rational frequency responses | Chapter 6. Signals & Systems. Oppenheim & Willsky. ISBN 0136511759. |
11 | The sampling theorem; sampling of bandlimited continuous time signals; analysis of sampling in frequency and time domains; undersampling and aliasing | Chapter 7. Signals & Systems. Oppenheim & Willsky. ISBN 0136511759. |
12 | Discrete time processing of continuous time signals; sampling of discretetime signals; DT decimation and interpolation | Chapter 7. Signals & Systems. Oppenheim & Willsky. ISBN 0136511759. |
13 | The Laplace transform; its inverse and properties; system functions of LTI systems; block diagram representations for causal LTI systems with rational system functions | Chapter 9. Signals & Systems. Oppenheim & Willsky. ISBN 0136511759. |
14 | The z transform; its inverse and properties; analysis and characterization of DT LTI systems using z transforms; system function algebra and block diagrams | Chapter 10. Signals & Systems. Oppenheim & Willsky. ISBN 0136511759. |
15 | Selected signal processing applications; review for Final | Lecture Notes |
16 | Review of the Semester |
Course Notes/Textbooks | L. F. Chaparro, A. Akan, Signals and Systems using MATLAB, Academic Press, 2019, 3rd Ed., ISBN: 9780128142042. |
Suggested Readings/Materials | A. V. Oppenheim, A. S. Willsky, with H. Nawab, Signals & Systems, Prentice Hall, 1997, 2nd Ed., ISBN: 9780138147570. |
Semester Activities | Number | Weigthing |
Participation | ||
Laboratory / Application | 1 | 30 |
Field Work | ||
Quizzes / Studio Critiques | - | - |
Portfolio | ||
Homework / Assignments | ||
Presentation / Jury | ||
Project | ||
Seminar / Workshop | ||
Oral Exam | ||
Midterm | 1 | 30 |
Final Exam | 1 | 40 |
Total |
Weighting of Semester Activities on the Final Grade | 2 | 60 |
Weighting of End-of-Semester Activities on the Final Grade | 1 | 40 |
Total |
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Course Hours (Including exam week: 16 x total hours) | 16 | 3 | 48 |
Laboratory / Application Hours (Including exam week: 16 x total hours) | 16 | 2 | |
Study Hours Out of Class | 16 | 4 | 64 |
Field Work | |||
Quizzes / Studio Critiques | - | - | |
Portfolio | |||
Homework / Assignments | |||
Presentation / Jury | |||
Project | |||
Seminar / Workshop | |||
Oral Exam | |||
Midterms | 1 | 30 | |
Final Exams | 1 | 36 | |
Total | 210 |
# | Program Competencies/Outcomes | * Contribution Level | ||||
1 | 2 | 3 | 4 | 5 | ||
1 | To have adequate knowledge in Mathematics, Science and Biomedical Engineering; to be able to use theoretical and applied information in these areas on complex engineering problems. | X | ||||
2 | To be able to identify, define, formulate, and solve complex Biomedical Engineering problems; to be able to select and apply proper analysis and modeling methods for this purpose. | X | ||||
3 | To be able to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the requirements; to be able to apply modern design methods for this purpose. | X | ||||
4 | To be able to devise, select, and use modern techniques and tools needed for analysis and solution of complex problems in Biomedical Engineering applications. | X | ||||
5 | To be able to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or Biomedical Engineering research topics. | X | ||||
6 | To be able to work efficiently in Biomedical Engineering disciplinary and multi-disciplinary teams; to be able to work individually. | X | ||||
7 | To be able to communicate effectively in Turkish, both orally and in writing; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to present effectively, to be able to give and receive clear and comprehensible instructions. | |||||
8 | To have knowledge about global and social impact of Biomedical Engineering practices on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of engineering solutions. | X | ||||
9 | To be aware of ethical behavior, professional and ethical responsibility; to have knowledge about standards utilized in engineering applications. | X | ||||
10 | To have knowledge about industrial practices such as project management, risk management, and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development. | X | ||||
11 | To be able to collect data in the area of Biomedical Engineering, and to be able to communicate with colleagues in a foreign language. | X | ||||
12 | To be able to speak a second foreign language at a medium level of fluency efficiently. | |||||
13 | To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Biomedical Engineering. | X |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest