Ministry of Higher Education and Scientific research
Directorate of Quality Assurance and Accreditation خشینبهتی دڵنیایی جۆری و متمانهرایهبهڕێوهبه
Electrical Department
College of Engineering
University of Salahaddin
Subject: Signals and Systems
Course Book – For 3rd Year
M. Sc. Basheer Abdulrahman Abdullah
Academic Year: 2019/2020
Ministry of Higher Education and Scientific research
Directorate of Quality Assurance and Accreditation خشینبهتی دڵنیایی جۆری و متمانهرایهبهڕێوهبه
Course Book
1. Course name Signals and Systems
2. Lecturer in charge Basheer Abdulrahman Abdullah
3. Department/College Electrical/College of Engineering
4. Contact e-mail: [email protected] Tel: (optional)
5. Time (in hours) per week Theory: 4 Practical: 0
6. Office hours Mon and Thu 9:00 AM – 12:00 PM
7. Course code MATH3115
8. Teacher's academic profile
https://academics.su.edu.krd/basheer.akreyi
9. Keywords
10. Course overview: Signals and Systems course covers the fundamentals of signal and system analysis
tackling both continuous-time (CT) and discrete-time (DT) systems. The course provides the necessary background needed for understanding other courses like analog and digital signal processing, automatic control, and analog and digital communications.
The course focuses on the study of linear time-invariant (LTI) systems and their analysis in the time domain and in the frequency domain. It addresses the following topics: classifications of signals and systems, basic signal operations, linear time-invariant (LTI) systems, time-domain analysis of LTI systems, signal representation using Fourier series, continuous-time Fourier transform, discrete-time Fourier transform, and z-transform.
11. Course objective: At the end of this course, students should:
Understand the basic concepts for continuous-time and discrete-time signals and systems.
Understand linear time-invariant systems and their characterization using impulse response.
Be able to compute the output of a continuous-time or discrete-time linear time-invariant system using convolution in the integral or sum form.
Understand the Fourier series for the analysis and representation of periodic continuous-time signals
Be able to develop the continuous-time Fourier transform from the Fourier series.
Understand the discrete-time Fourier transform and its properties
Understand the z-transform and concepts such as the region of convergence and the difference equations
Ministry of Higher Education and Scientific research
Directorate of Quality Assurance and Accreditation خشینبهتی دڵنیایی جۆری و متمانهرایهبهڕێوهبه
12. Student's obligation The Signals and Systems is a semester based course. Students are obligated to take
one midterm exam and a final exam. Mid-term exam will be taken at the half of course time, and the final exam will be taken at the end of course. Beside of that, quizzes, homework, assignments may be given students from time to time. The minimum requirement for a passing grade is 50%.
13. Forms of teaching Computer-generated slide presentations can enhance the effectiveness of classroom
lectures. As an instructor, I can emphasize main points and key announcements, and I can enhance my presentation with graphics. My presentations become more organized and flexible, and are easily updated or rearranged. From a student's perspective, class material is far more legible and interesting than hastily-scribbled notes on an overhead or chalkboard.
In this course I have also implemented the Moodle system which is a blended learning platform for schools that aim to simplify creating, distributing and grading assignments in a paperless way. This system will allow teacher and students to communicate online in an efficient way to support the students.
14. Assessment scheme The grading of the course will be distributed as follow:
Midterm exam 20%.
Quizzes and Homework plus student attendance/activities 20%.
The average of the students effort will be 40%, and
Final exam 60%
15. Student learning outcome: The main outcome for the Signals and Systems course is to give students the ability to
analysis signals and systems related to engineering. While majority of the course is related to mathematic, it gives the student the ability to describe signals mathematically and understand how to perform mathematical operations on signals. These operations will give the students to develop expertise in time-domain and frequency domain approaches to analysis continuous and discrete systems. Some of the mathematical tools that he/she will learn in this course are Convolution, Fourier series, Fourier transforms, and z-transform.
16. Course Reading List and References: A. V. Oppenheim, A. S. Willsky with S. H. Nawab, Signals and Systems, 2nd Ed., 2013
B. Boulet, Fundamental of Signals and Systems, 1st Ed., 2016
A. Anand Kumar, Signals and Systems, 3rd Ed., 2013
Ministry of Higher Education and Scientific research
Directorate of Quality Assurance and Accreditation خشینبهتی دڵنیایی جۆری و متمانهرایهبهڕێوهبه
17. The Topics: Lecturer's name Chapter 1: Basics of Signals and Systems This chapter will cover the following topics:
Introduction to Signals and Systems
Signals and Classification of Signals
Transformation of the Independent Variable
Basic Signal Functions
Systems and Classification of Systems
Basheer Abdulrahman (3 Weeks)
Chapter 2: Linear Time-Invariant Systems This chapter will cover the following topics:
Representation of DT Signals in Terms of Impulses
DT Unit Impulse Response and the Convolution-Sum
Representation of CT Signals in Terms of Impulses
CT Unit Impulse Response and the Convolution-Integral
Properties of Linear Time-Invariant System
Basheer Abdulrahman (3 Weeks)
Chapter 3: Fourier Series Representation
Fourier Series Representation of Continuous-Time Domain Periodic Signals
Fourier Series of even and odd functions
Complex Form of Fourier Series
Basheer Abdulrahman (2 Weeks)
Chapter 4: Continuous Time Fourier Transform This chapter will cover the following topics:
Definition of Fourier Transform
Fourier transform of basic functions
Properties of the Fourier transform
Fourier transform of periodic functions
Basheer Abdulrahman (2 Weeks)
Chapter 5: Discrete Time Fourier Transform This chapter will cover the following topics:
Discrete Time Fourier transform (DFT)
Properties of DFT
Fast Fourier Transform (FFT)
Decimation-in-Time FFT
Basheer Abdulrahman (2 Weeks)
Ministry of Higher Education and Scientific research
Directorate of Quality Assurance and Accreditation خشینبهتی دڵنیایی جۆری و متمانهرایهبهڕێوهبه
Chapter 6: Z-Transform This chapter will cover the following topics:
Definition and Direct Z-Transform
Properties of the Z-Transform
Inverse of the Z-Transform Methods
Difference Equation
Basheer Abdulrahman (3 Weeks)
18. Practical Topics (If there is any) None None
19. Examinations:
Question Example: Evaluate the Fourier transform of following functions using the definition
1) 𝑓(𝑡) = 𝑒−𝑎𝑡 𝑢(𝑡)
2)
Ministry of Higher Education and Scientific research
Directorate of Quality Assurance and Accreditation خشینبهتی دڵنیایی جۆری و متمانهرایهبهڕێوهبه
20. Extra notes: None
21. Peer review ڵ ی هاوهوهپێداچوونه
