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 


Course Language 
English


Course Type 
Required


Course Level 
First Cycle


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;

Course Content  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. 

Core Courses  
Major Area Courses  
Supportive Courses  
Media and Management Skills Courses  
Transferable Skill Courses 
Week  Subjects  Related Preparation 
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 Textbooks  A. V. Oppenheim, A. S. Willsky, with H. Nawab, Signals & Systems, Prentice Hall, 1997, 2nd Ed., ISBN: 0136511759. 
References  1) B.P. Lathi, Signal Processing and Linear Systems, Oxford University Press, 1998. 2) S. Haykin and B. Van Veen, Signals and Systems, Wiley, 1999. 
Semester Requirements  Number  Percentage 
Participation  
Laboratory / Application 
8

20

Field Work  
Quizzes / Studio Critiques 




Homework / Assignments 




Presentation / Jury  
Project  
Seminar / Workshop  
Portfolios  
Midterms / Oral Exams 
2

40

Final / Oral Exam 
1

40

Total 
Contribution of Semester Work to Final Grade  10 
60 
Contribution of Final Work to Final Grade  1 
40 
Total 
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 
15

7


Field Work  
Quizzes / Studio Critiques 





Homework / Assignments 





Presentation / Jury  
Project  
Seminar / Workshop  
Portfolios  
Midterms / Oral Exams 
2

19


Final / Oral Exam 
1

28


Total 
251

#

Program Qualifications / Outcomes 
* Level of Contribution


1 
2 
3 
4 
5 

1  To have sufficient background in Mathematics, Basic sciences and Biomedical Engineering areas and the skill to use this theoretical and practical background in the problems of the Biomedical Engineering. 

2  To identify, formulate and solve Biomedical Engineeringrelated problems by using stateoftheart methods, techniques and equipment; to select and apply appropriate analysis and modeling methods for this purpose. 

3  To analyze a complex system, system components or process, and to design with realistic limitations to meet the requirements using modern design techniques; to apply modern design techniques for this purpose. 

4  To choose and use the required modern techniques and tools for analysis and solution of complex problems in Biomedical Engineering applications; to skillfully use information technologies. 

5  To design and do simulation and/or experiment, collect and analyze data and interpret results for studying complex engineering problems or research topics of the discipline. 

6  To efficiently participate in intradisciplinary and multidisciplinary teams; to work independently. 

7  To communicate both in oral and written form in Turkish; to have knowledge of at least one foreign language; to have the skill to write and understand reports, prepare design and production reports, present, give and receive clear instructions. 

8  To recognize the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. 

9  To behave ethically, to be aware of professional and ethical responsibilities; to have knowledge about the standards in Biomedical Engineering applications. 

10  To have information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development. 

11  To have knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of Biomedical Engineering solutions. 
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest