BIOMEDICAL ENGINEERING
Bachelor TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF-LLL: Level 6

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
EEE3501 Signals and Systems Spring 3 0 3 6

Basic information

Language of instruction: English
Type of course: Must Course
Course Level: Bachelor’s Degree (First Cycle)
Mode of Delivery: Face to face
Course Coordinator : Assoc. Prof. SAEID KARAMZADEH
Course Lecturer(s): Dr. Öğr. Üyesi YALÇIN ÇEKİÇ
Prof. Dr. NAFİZ ARICA
Recommended Optional Program Components: Not applicable
Course Objectives: Signals and Systems is an introduction to analog and digital signal processing. A topic that forms an integral part of engineering systems in many diverse areas, including seismic data processing, communications, speech processing, image processing, defense electronics, consumer electronics, and consumer products.
The course presents and integrates the basic concepts for both continuous-time and discrete-time signals and systems. Signal and system representations are developed for both time and frequency domains. These representations are related through the Fourier transform and its generalizations, which are explored in detail. Filtering, sampling, Laplace, and Z transforms are discussed and illustrated too.

Learning Outcomes

The students who have succeeded in this course;
1. Defines basic properties of continuous-time and discrete-time signals.
2. Describes basic signals (impulse, step, sinusoidal, exponentiation and etc) and systems.
3. Convolution
4. Properties of linear, time-invariant systems
5. Fourier Series (continuous-time and discrete-time)
6. Fourier Transforms(continuous-time and discrete-time)
7. Filtering and sampling
8. Describes the Laplace transform and the z-transform.

Course Content

Introduction to Signals and Systems; Review of basic signals (impulse, step, sinusoidal, exponentiation and etc) and systems, Convolution, Properties of linear, time-invariant systems, Fourier Series (continuous-time and discrete-time), Fourier Transforms(continuous-time and discrete-time), Filtering and sampling, Laplace Transform and Z-Transform.


Weekly Detailed Course Contents

Week Subject Related Preparation
1) Introduction to Signals and Systems; Continuous-Time and Discrete-Time Signals; Operations of the independent variables, Even and odd signals, Periodicity, Signal Energy and Power
2) Basic C-T and D-T signals (Sinusoidal, Exponential, Unit Step, Unit İmpulse), Systems: connections, properties.
3) Convolution
4) Properties of Linear, Time-Invariant Systems
5) Systems represented by differential and difference equations
6) Fourier Series Representation of Continuous-Time Periodic Signal
7) Fourier Series Representation of Discrete-Time Periodic Signal, Filtering
8) Midterm Exam
9) Continuous-Time Fourier Transform
10) Sürekli Zaman Fourier Dönüşümünün Özellikleri
11) Systems Characterized by Linear Constant Coefficient Differential Equations
12) Discrete Fourier Transform Sampling"
13) The Laplace Transform; The Region of Convergence for Laplace Transforms; The Inverse Laplace Transform; Pole-Zero Plots; Properties of the Laplace, Analysis, and Characterization of LTI Systems Using The Laplace Transform
14) The z-Transform; The Region of Convergence for the z-Transform; The Inverse z-Transform; Properties of the z-Transform, Analysis and Characterization of LTI Systems Using z-Transforms

Sources

Course Notes / Textbooks: Alan V. oppenhiem, S. willsky and S. Hamid Nawab, “Signals and Systems”
References: Video Lectures by Oppenheim https://ocw.mit.edu/resources/res-6-007-signals-and-systems-spring-2011/video-lectures/

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Midterms 2 % 60
Final 1 % 40
Total % 100
PERCENTAGE OF SEMESTER WORK % 60
PERCENTAGE OF FINAL WORK % 40
Total % 100

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 3 42
Study Hours Out of Class 14 5 70
Midterms 2 3 6
Final 1 3 3
Total Workload 121

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) Adequate knowledge of subjects specific to mathematics (analysis, linear, algebra, differential equations, statistics), science (physics, chemistry, biology) and related engineering discipline, and the ability to use theoretical and applied knowledge in these fields in complex engineering problems. 5
2) Identify, formulate, and solve complex Biomedical Engineering problems; select and apply proper modeling and analysis methods for this purpose 3
3) Design complex Biomedical systems, processes, devices or products under realistic constraints and conditions, in such a way as to meet the desired result; apply modern design methods for this purpose. 2
4) Devise, select, and use modern techniques and tools needed for solving complex problems in Biomedical Engineering practice; employ information technologies effectively. 3
5) Design and conduct numerical or physical experiments, collect data, analyze and interpret results for investigating the complex problems specific to Biomedical Engineering. 3
6) Cooperate efficiently in intra-disciplinary and multi-disciplinary teams; and show self-reliance when working on Biomedical Engineering-related problems.
7) Ability to communicate effectively in Turkish, oral and written, to have gained the level of English language knowledge (European Language Portfolio B1 general level) to follow the innovations in the field of Biomedical Engineering; gain the ability to write and understand written reports effectively, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.
8) Recognize the need for life-long learning; show ability to access information, to follow developments in science and technology, and to continuously educate oneself.
9) Having knowledge for the importance of acting in accordance with the ethical principles of biomedical engineering and the awareness of professional responsibility and ethical responsibility and the standards used in biomedical engineering applications
10) Learn about business life practices such as project management, risk management, and change management; develop an awareness of entrepreneurship, innovation, and sustainable development.
11) Acquire knowledge about the effects of practices of Biomedical Engineering on health, environment, security in universal and social scope, and the contemporary problems of Biomedical Engineering; is aware of the legal consequences of Mechatronics engineering solutions.