Code |
Name of the Course Unit |
Semester |
In-Class Hours (T+P) |
Credit |
ECTS Credit |
EEE307 |
SIGNALS AND SYSTEMS |
5 |
3 |
3 |
5 |
GENERAL INFORMATION |
Language of Instruction : |
English |
Level of the Course Unit : |
BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle |
Type of the Course : |
Compulsory |
Mode of Delivery of the Course Unit |
- |
Coordinator of the Course Unit |
Assist.Prof. PERİ GÜNEŞ |
Instructor(s) of the Course Unit |
Prof. BAYRAM ÜNAL |
Course Prerequisite |
No |
OBJECTIVES AND CONTENTS |
Objectives of the Course Unit: |
In this course, the goals are to analyze the continuous and discrete time signals and systems. |
Contents of the Course Unit: |
In this course, the goals are to analyze the continuous and discrete time signals and systems. |
KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to) |
LO-1 Define and classify the concept of a signal and of a system and operate with useful signal models: unit step, unit impulse, sinusoid, and exponential function.
LO-2 Describe the concept of a system’s impulse response and convolution im LTI systems and calculate the response of an LTI system to an arbitrary input by using its impulse response and convolution.
LO-3 Express a periodic signal in a Fourier series and an aperiodic signal by a Fourier transform.
LO-4 Relate frequency-domain descriptions of signals and systems to their characteristics in the time domain.
LO-5 Use frequency-domain techniques to solve input/output problems and to design LTI systems.
LO-6 Explain the sampling theorem, including what is required to recover original continuous time signal from its equally spaced samples exactly. |
WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY |
Week |
Preparatory |
Topics(Subjects) |
Method |
1 |
- |
Introduction to the course |
- |
2 |
- |
Continuous and discrete time signals. Definition and some examples of signals and systems. Graphical representations of signals. Signal energy and power. Transformations of the independent variable in a signal. Periodic signals. Even and odd signals and even-odd decomposition of a signal. Continuous time exponential and sinusoidal signals and their properties. |
- |
3 |
- |
Discrete time exponential and sinusoidal signals and their properties. Definitions and properties of discrete time and continuous time unit impulse and unit step functions. Continuous time and discrete time systems. First and second order system examples. |
- |
4 |
- |
Cascade, parallel and feedback interconnections of systems. Basic system properties: Memoryless, invertibility, causality, stability, time invariance and linearity. Properties of linear systems. |
- |
5 |
- |
Discrete time LTI systems and the convolution sum. Continuous time LTI systems and the convolution integral. |
- |
6 |
- |
Properties of LTI systems. Causal LTI systems described by differential and difference equations. Block diagram representations of first-order systems. |
- |
7 |
- |
Fourier series representation of periodic signals. The response of LTI systems to complex exponentials. Fourier series representation of continuous time periodic signals. Convergence of the Fourier series. Properties of the CTFS. |
- |
8 |
- |
MID-TERM EXAM |
- |
9 |
- |
Fourier series representation of discrete time periodic signals. Properties of the DTFS. Fourier series and LTI systems. |
- |
10 |
- |
Representation of aperiodic continuous signals: The continuous time Fourier transform. Convergence of Fourier transforms. The Fourier transform for periodic signals. Properties of the CTFT. |
- |
11 |
- |
Convolution and multiplication properties of the CTFT. Representation of aperiodic discrete signals: The discrete time Fourier transform. Periodicity of the DTFT. |
- |
12 |
- |
Convergence issues associated with the DTFT. The DTFT for periodic signals. Properties of the DTFT. Convolution and multiplication properties of the DTFT. |
- |
13 |
- |
Representation of a continuous time signal by its samples: The Sampling Theorem. Impulse train sampling. Exact recovery by an ideal lowpass filtler. Sampling with a Zero-Order Hold. Reconstruction of a signal from its samples using interpolation. The effect of undersampling: Aliasing. |
- |
14 |
- |
Recapitulation |
- |
15 |
- |
Recapitulation |
- |
16 |
- |
FINAL EXAM |
- |
17 |
- |
FINAL EXAM |
- |
SOURCE MATERIALS & RECOMMENDED READING |
Signals and Systems, Second Edition, A. V. Oppenheim, A. S. Willsky with S. H. Nawab, Prentice-Hall, 1997. |
ASSESSMENT |
Assessment & Grading of In-Term Activities |
Number of Activities |
Degree of Contribution (%) |
Description |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
CONTRIBUTION OF THE COURSE UNIT TO THE PROGRAMME LEARNING OUTCOMES
KNOWLEDGE |
Theoretical |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Explains the fundamental engineering concepts of electrical and electronics science and relates them to the groundwork of electrical and electronics science.
|
|
|
|
3 |
|
|
KNOWLEDGE |
Factual |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Uses theoretical and practical knowledge coming from electrical and electronics sciences, to find solutions to engineering problems.
|
|
|
|
|
4 |
|
SKILLS |
Cognitive |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Determines the components and the underlying process of a system and designs an appropriate model related to electrical and electronics under reasonable constraints.
|
|
|
|
|
4 |
|
2 |
Designs a model related to electrical and electronics with modern techniques.
|
|
|
|
3 |
|
|
SKILLS |
Practical |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Determines, detects and analyzes the areas of electrical and electronics engineering science applications and develops appropriate solutions.
|
|
|
|
|
4 |
|
2 |
Identifies, models and solveselectrical and electronics engineering problems by applying appropriate analytical methods.
|
|
|
|
|
4 |
|
3 |
Determines and uses the necessary electrical and electronics engineering technologies in an efficient way for engineering applications.
|
|
|
|
3 |
|
|
OCCUPATIONAL |
Autonomy & Responsibility |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Possess the responsibility and ability to design and conduct experiments for engineering problems by collecting, analyzing and interpreting data.
|
|
|
|
3 |
|
|
2 |
Possess the ability to conduct effective individual study.
|
|
|
|
|
4 |
|
3 |
Takes responsibility as a team work and contributes in an effective way.
|
|
|
|
3 |
|
|
OCCUPATIONAL |
Learning to Learn |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Monitors the developments in the field of electrical and electronics engineering technologies by means of books, internet and related journals and possess the required knowledge for the management, control, development and security of information technologies.
|
|
|
|
|
4 |
|
2 |
Develops positive attitude towards lifelong learning.
|
|
|
|
|
4 |
|
OCCUPATIONAL |
Communication & Social |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Communicates effectively by oral and/or written form and uses at least one foreign language.
|
|
|
|
3 |
|
|
2 |
Possess sufficient consciousness about the issues of project management, practical applications and also environmental protection, worker's health and security.
|
|
|
|
|
4 |
|
OCCUPATIONAL |
Occupational and/or Vocational |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Possess professional and ethical responsibility and willingness to share it.
|
|
|
|
|
4 |
|
2 |
Possess sufficient consciousness about the universality of electrical and electronics engineering solutions and applications and be well aware of the importance of innovation.
|
|
|
|
3 |
|
|
WORKLOAD & ECTS CREDITS OF THE COURSE UNIT |
Workload for Learning & Teaching Activities |
Type of the Learning Activites |
Learning Activities (# of week) |
Duration (hours, h) |
Workload (h) |
Lecture & In-Class Activities |
14 |
3 |
42 |
Preliminary & Further Study |
2 |
2 |
4 |
Land Surveying |
2 |
2 |
4 |
Group Work |
0 |
0 |
0 |
Laboratory |
2 |
2 |
4 |
Reading |
2 |
2 |
4 |
Assignment (Homework) |
3 |
6 |
18 |
Project Work |
2 |
4 |
8 |
Seminar |
1 |
1 |
1 |
Internship |
0 |
0 |
0 |
Technical Visit |
1 |
1 |
1 |
Web Based Learning |
0 |
0 |
0 |
Implementation/Application/Practice |
3 |
6 |
18 |
Practice at a workplace |
1 |
1 |
1 |
Occupational Activity |
0 |
0 |
0 |
Social Activity |
0 |
0 |
0 |
Thesis Work |
0 |
0 |
0 |
Field Study |
0 |
0 |
0 |
Report Writing |
2 |
4 |
8 |
Final Exam |
1 |
2 |
2 |
Preparation for the Final Exam |
1 |
1 |
1 |
Mid-Term Exam |
1 |
2 |
2 |
Preparation for the Mid-Term Exam |
1 |
1 |
1 |
Short Exam |
1 |
2 |
2 |
Preparation for the Short Exam |
1 |
1 |
1 |
TOTAL |
41 |
0 |
122 |
|
Total Workload of the Course Unit |
122 |
|
|
Workload (h) / 25.5 |
4,8 |
|
|
ECTS Credits allocated for the Course Unit |
5,0 |
|