EEE 309 | Course Introduction and Application Information - Department of Mechatronics Engineering

Course Name

Signals and Systems

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

Prerequisites

MATH 153 To get a grade of at least FD

Course Language

English

Course Type

Required

Course Level

First Cycle

Mode of Delivery

-

Teaching Methods and Techniques of the Course

Application: Experiment / Laboratory / Workshop

National Occupation Classification

-

Course Coordinator

Doç. Dr. Mehmet Türkan

Course Lecturer(s)

Assistant(s)

Araş. Gör. Burak AKBUĞDAY

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 EEE program.

Learning Outcomes

#	Content	PC Sub	* Contribution Level
#	Content	PC Sub	1	2	3	4	5
1	Describe different types of signals, signal representations, and main properties of signals useful to their analysis,
2	Define the fundamental properties of linear systems,
3	Identify system characteristics such as linearity, time-invariance, causality and stability,
4	Tell the basic concepts of Fourier series and Fourier transforms for discrete- and continuous-time signals,
5	Analyze behavior of linear, time-invariant systems by using transform analysis and convolution,
6	Explain the response of LTI systems to standard signals (impulse response, step response), and then to any signal in terms of those standard signals,
7	Formulate the Laplace and Z transforms and corresponding inverse transforms using the definitions, tables of standard transforms and properties, and partial fraction expansion,
8	Simulate signals and systems using Matlab signal processing toolbox and Simulink.

Course Description

Topics covered include time domain analysis of continuous-time and discrete-time signals and systems; Fourier series and periodic signals; Fourier transform; sampling and discrete-time Fourier transform; Laplace and Z transforms.

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

Week	Subjects	Related Preparation	Learning Outcome
1	Signals and systems; introduction and mathematical preliminaries; Some examples of signals and systems	Chapter 1. Signals & Systems. Oppenheim & Willsky. ISBN 1292025905, 9781292025902.
2	Signal classification and energy; basic operations with signals; classification of systems; basic system properties	Chapter 1. Signals & Systems. Oppenheim & Willsky. ISBN 1292025905, 9781292025902.
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 1292025905, 9781292025902.
4	Continuous-time LTI systems; convolution integral representation; properties and examples; singularity functions	Chapter 2. Signals & Systems. Oppenheim & Willsky. ISBN 1292025905, 9781292025902.
5	Fourier series representation of continuous-time periodic signals; convergence and Gibbs’ phenomenon; properties of CT FS	Chapter 3. Signals & Systems. Oppenheim & Willsky. ISBN 1292025905, 9781292025902.
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 1292025905, 9781292025902.
7	Review for Midterm Exam; motivation of the Fourier transform	Chapter 3. Signals & Systems. Oppenheim & Willsky. ISBN 1292025905, 9781292025902.
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 1292025905, 9781292025902.
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 1292025905, 9781292025902.
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 1292025905, 9781292025902.
11	The sampling theorem; sampling of bandlimited continuous time signals; analysis of sampling in frequency and time domains; under sampling and aliasing	Chapter 7. Signals & Systems. Oppenheim & Willsky. ISBN 1292025905, 9781292025902.
12	Discrete-time processing of continuous time signals; sampling of discrete-time signals; DT decimation and interpolation	Chapter 7. Signals & Systems. Oppenheim & Willsky. ISBN 1292025905, 9781292025902.
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 1292025905, 9781292025902.
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 1292025905, 9781292025902.
15	Review of the Course
16	Final Exam

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	LO 1	LO 2	LO 3	LO 4	LO 5	LO 6	LO 7	LO 8
Participation
Laboratory / Application	1	20
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm	1	40
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
Theoretical Course Hours (Including exam week: 16 x total hours)	16	3	48
Laboratory / Application Hours (Including exam week: '.16.' x total hours)	16	2	32
Study Hours Out of Class	16	3	48
Field Work			0
Quizzes / Studio Critiques			0
Portfolio			0
Homework / Assignments			0
Presentation / Jury			0
Project			0
Seminar / Workshop			0
Oral Exam			0
Midterms	1	20	20
Final Exam	1	32	32
		Total	180

#	PC Sub	Program Competencies/Outcomes	* Contribution Level
#	PC Sub	Program Competencies/Outcomes	1	2	3	4	5
1	To have knowledge in Mathematics, science, physics knowledge based on mathematics; mathematics with multiple variables, differential equations, statistics, optimization and linear algebra; to be able to use theoretical and applied knowledge in complex engineering problems		-	-	-	-	-
2	To be able to identify, define, formulate, and solve complex mechatronics engineering problems; to be able to select and apply appropriate analysis and modeling methods for this purpose.		-	-	-	-	-
3	To be able to design a complex electromechanical system, process, device or product with sensor, actuator, control, hardware, and software to meet specific requirements under realistic constraints and conditions; to be able to apply modern design methods for this purpose.		-	-	-	-	-
4	To be able to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Mechatronics Engineering applications; to be able to use information technologies effectively.		-	-	-	-	-
5	To be able to design, conduct experiments, collect data, analyze and interpret results for investigating Mechatronics Engineering problems.		-	-	-	-	-
6	To be able to work effectively in Mechatronics Engineering disciplinary and multidisciplinary teams; to be able to work individually.		-	-	-	-	-
7	To be able to communicate effectively in Turkish, both in oral and written forms; 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 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.		-	-	-	-	-
9	To be aware of ethical behavior, professional and ethical responsibility; information on standards used in engineering applications.		-	-	-	-	-
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.		-	-	-	-	-
11	Using a foreign language, he collects information about Mechatronics Engineering and communicates with his colleagues. ("European Language Portfolio Global Scale", Level B1)		-	-	-	-	-
12	To be able to use the second foreign language at intermediate level.		-	-	-	-	-
13	To recognize the need for lifelong learning; to be able to access information; to be able to follow developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Mechatronics Engineering.		-	-	-	-	-

EEE 309 | Course Introduction and Application Information

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