Department of Biomedical Engineering

EEE 309 | Course Introduction and Application Information

Course Name

Signals and Systems

Code	Semester	Theory (hour/week)	Application/Lab (hour/week)	Local Credits	ECTS
EEE 309	SPRING	3	2	4	6

Prerequisites	MATH 153 To get a grade of at least FD
Course Language	English
Course Type	Required (Core Course)
Course Level	First Cycle
Mode of Delivery	Face-to-Face
Teaching Methods and Techniques of the Course	• Application: Experiment/ Laboratory/ Workshop • Lecture / Presentation
National Occupational Classification Code	-
Course Coordinator	Prof. Dr. Aydın Akan
Course Lecturer(s)	Prof. Dr. Aydın Akan
Assistant(s)	Araş. Gör. Burak Akbuğday

Course Objectives

The aim of this course is to provide students with the mathematical foundations and tools necessary for the analysis of signals processed by systems. It is the first step toward understanding how signals carry information and how systems process this information, and it is essential for other courses in the Electrical and Electronics Engineering program.

Learning Outcomes

The students who succeeded in this course;

Name	Description	PC Sub	* Contribution Level
Name	Description	PC Sub	1	2	3	4	5
LO1	Identify different types of signals, their various representations, and the fundamental properties that facilitate their analysis.	1.5		X
LO2	Determine system characteristics such as linearity, time invariance, causality, and stability.	1.5		X
LO3	Describe the basic properties of linear, time-invariant systems.	1.6		X
LO4	Use Fourier series, Fourier transform, and Laplace transform for continuous-time signals and systems.	1.6			X
LO5	Analyze the behavior of linear, time-invariant systems using transformation analysis.	2			X
LO6	Simulate signals and systems using MATLAB signal processing tools.	1.4			X

Course Description

The topics covered include time-domain analysis of continuous-time and discrete-time signals and systems, Fourier series and periodic signals, continuous-time Fourier transform, sampling, and Laplace transform.

Related Sustainable Development Goals

Course Category	Core Courses	X
	Major Area Courses
	Supportive Courses
	Media and Managment Skills Courses
	Transferable Skill Courses

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week	Subjects	Required Materials	Learning Outcome
1	Introduction and mathematical foundations; some example signals and systems	-	-
2	Continuous-time signals; basic signals; signal operations and properties	Chapter 1. A. V. Oppenheim, A. S. Willsky, with H. Nawab, Signals and Systems, ISBN: 978-1-292-02590-2	LO1
3	Continuous-time systems; system properties	Chapter 1. A. V. Oppenheim, A. S. Willsky, with H. Nawab, Signals and Systems, ISBN: 978-1-292-02590-2	LO2
4	Continuous-time linear, time-invariant systems; convolution integral; properties and examples	Chapter 2. A. V. Oppenheim, A. S. Willsky, with H. Nawab, Signals and Systems, ISBN: 978-1-292-02590-2	LO3
5	Discrete-time signals; basic signals; signal operations and properties	Chapter 1. A. V. Oppenheim, A. S. Willsky, with H. Nawab, Signals and Systems, ISBN: 978-1-292-02590-2	LO1
6	Discrete-time systems; system properties	Chapter 1. A. V. Oppenheim, A. S. Willsky, with H. Nawab, Signals and Systems, ISBN: 978-1-292-02590-2	LO2
7	Discrete-time linear, time-invariant systems; convolution sum; properties and examples	Chapter 2. A. V. Oppenheim, A. S. Willsky, with H. Nawab, Signals and Systems, ISBN: 978-1-292-02590-2	LO3
8	Midterm Exam	-	-
9	Continuous-time Fourier series; properties and examples	Chapter 3. A. V. Oppenheim, A. S. Willsky, with H. Nawab, Signals and Systems, ISBN: 978-1-292-02590-2	LO4
10	Continuous-time Fourier series; properties and examples	Chapter 3. A. V. Oppenheim, A. S. Willsky, with H. Nawab, Signals and Systems, ISBN: 978-1-292-02590-2	LO5
11	Continuous-time Fourier transform; Fourier transform of periodic signals; properties of Fourier transform; convolution and multiplication properties and examples; inverse transform and properties	Chapter 4. A. V. Oppenheim, A. S. Willsky, with H. Nawab, Signals and Systems, ISBN: 978-1-292-02590-2	LO4
12	Continuous-time Fourier transform; Fourier transform of periodic signals; properties of Fourier transform; convolution and multiplication properties and examples; inverse transform and properties	Chapter 4. A. V. Oppenheim, A. S. Willsky, with H. Nawab, Signals and Systems, ISBN: 978-1-292-02590-2	LO5
13	Sampling theorem; sampling of band-limited continuous-time signals; sampling analysis; under-sampling and aliasing	Chapter 7. A. V. Oppenheim, A. S. Willsky, with H. Nawab, Signals and Systems, ISBN: 978-1-292-02590-2	LO4
14	Laplace transform; inverse transform and properties; system functions and analyses of linear, time-invariant systems	Chapter 9. A. V. Oppenheim, A. S. Willsky, with H. Nawab, Signals and Systems, ISBN: 978-1-292-02590-2	LO4
15	Laplace transform; inverse transform and properties; system functions and analyses of linear, time-invariant systems	Chapter 9. A. V. Oppenheim, A. S. Willsky, with H. Nawab, Signals and Systems, ISBN: 978-1-292-02590-2	LO5
16	Final Exam	-	-

Course Notes/Textbooks	A V. Oppenheim A. S. Willsky with H. Nawab Signals and Systems Pearson 2014 2/E. ISBN: 978- 1-292-02590-2.
Suggested Readings/Materials	A. Akan L F. Chaparro Signals and Systems using MATLAB Academic Press 2024 4/E ISBN: 978-0-443-15709-7.

EVALUATION SYSTEM

Semester Activities	Number	Weighting	LO1	LO2	LO3	LO4	LO5	LO6
Laboratory / Application	1	20	X	X	X	X	X	X
Midterm	1	40	X	X	X
Final Exam	1	40				X	X	X
Total	3	100

ECTS / WORKLOAD TABLE

Semester Activities	Number	Duration (Hours)	Workload
Participation	-	-	-
Theoretical Course Hours	16	3	48
Laboratory / Application Hours	16	2	32
Study Hours Out of Class	14	3	42
Field Work	-	-	-
Quizzes / Studio Critiques	-	-	-
Portfolio	-	-	-
Homework / Assignments	-	-	-
Presentation / Jury	-	-	-
Project	-	-	-
Seminar / Workshop	-	-	-
Oral Exams	-	-	-
Midterms	1	24	24
Final Exam	1	34	34
		Total	180

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#	PC Sub	Program Competencies/Outcomes	* Contribution Level
#	PC Sub	Program Competencies/Outcomes	1	2	3	4	5
1	Engineering Knowledge: Knowledge of mathematics, science, basic engineering, computation, and related engineering discipline-specific topics; the ability to apply this knowledge to solve complex engineering problems.
	1	Mathematics
	2	Science
	3	Basic Engineering
	4	Computation			LO6
	5	Related engineering discipline-specific topics		LO1 LO2
	6	The ability to apply this knowledge to solve complex engineering problems		LO3	LO4
2	Problem Analysis: Ability to identify, formulate and analyze complex engineering problems using basic knowledge of science, mathematics and engineering, and considering the UN Sustainable Development Goals relevant to the problem being addressed.				LO5
3	Engineering Design: The ability to devise creative solutions to complex engineering problems; the ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions.
	1	Ability to design creative solutions to complex engineering problems
	2	Ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions
4	Use of Techniques and Tools: Ability to select and use appropriate techniques, resources, and modern engineering and computing tools, including estimation and modeling, for the analysis and solution of complex engineering problems, while recognizing their limitations.
5	Research and Investigation: Ability to use research methods to investigate complex engineering problems, including literature research, designing and conducting experiments, collecting data, and analyzing and interpreting results.
	1	Literature research for the study of complex engineering problems
	2	Designing experiments
	3	Ability to use research methods, including conducting experiments, collecting data. analyzing and interpreting results
6	Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability, and the environment, within the context of the UN Sustainable Development Goals; awareness of the legal implications of engineering solutions.
	1	Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability, and the environment, within the context of the UN Sustainable Development Goals
	2	Awareness of the legal implications of engineering solutions
7	Ethical Behavior: Acting in accordance with the principles of the engineering profession, knowledge about ethical responsibility; awareness of being impartial, without discrimination, and being inclusive of diversity.
	1	Acting in accordance with the principles of the engineering profession, knowledge about ethical responsibility ethical responsibility
	2	Awareness of being impartial and inclusive of diversity, without discriminating on any subject
8	Individual and Teamwork: Ability to work effectively, individually and as a team member or leader on interdisciplinary and multidisciplinary teams (face-to-face, remote or hybrid).
	1	Ability to work individually and within the discipline
	2	Ability to work effectively as a team member or leader in multidisciplinary teams (face-to-face, remote or hybrid)
9	Verbal and Written Communication: Taking into account the various differences of the target audience (such as education, language, profession) on technical issues.
	1	Ability to communicate verbally
	2	Ability to communicate effectively in writing
10	Project Management: Knowledge of business practices such as project management and economic feasibility analysis; awareness of entrepreneurship and innovation.
	1	Knowledge of business practices such as project management and economic feasibility analysis
	2	Awareness of entrepreneurship and innovation
11	Lifelong Learning: Lifelong learning skills that include being able to learn independently and continuously, adapting to new and developing technologies, and thinking questioningly about technological changes.