Faculty of Engineering and Natural Sciences · Electrical & Electronics Engineering (English 30%) · Undergraduate
Course Objective
The objective of this course is to analyzing signals and systems using mathematical modelling, Laplace, and Fourier transforms.
Course Content
This course covers the fundamentals of signals and systems analysis, focusing on continuous-time and discrete-time signals (Complex exponentials, Fourier Transform, Laplace Transform and Z Transform) and representations of linear time-invariant systems.
Required Resources
Signals and Systems, 2nd Ed., A. V. Oppenheim, A. S. Willsky, Pearson, 1996, ISBN: 0-13-814757-4.
Explanations
Istanbul Sabahattin Zaim University affirms the importance of integrity and respecting the work of each individual. As an institution of higher education, the university views academic integrity as an educational as well as judicial issue. Academic violations include (but not limited to) the following: plagiarism, inappropriate collaboration, dishonesty in examinations, dishonesty in papers, work done for one course and submitted to another, deliberate manipulation of data, etc. See the Student Handbook at http://www.izu.edu.tr/handbook/ for more details.
Rules
- Attendance: It is the university policy that attendance is compulsory. A student missing more than 30% of the total allocated course time and/or more than 20% of the total allocated laboratory time will receive a WF (Withdrawal While Failing).
- You will be considered absent if you miss the first 15 minutes of the class time.
- Getting Help: Students are encouraged to consult their instructor during office hours, or by appointment. However, before seeking help, make sure you read your lecture notes and/or textbook. Study the similar examples to the problem then try to solve the problem yourself. Students who miss a class without a valid written and/or legitimate excuse will not be offered a one-on-one lecture to substitute the missed class.
- Academic Misconduct will not be tolerated. You are expected to submit your own work. Copying, cheating or plagiarism, when detected, will result in an FF grade in the course for all who are involved (i.e. it does not matter if somebody copied your homework, project etc., you are guilty as well).
- There will be no extra exam or grading for this course.
Course Learning Outcomes
- Describe signals mathematically and understand how to perform mathematical operations on signals.
- Classify signals as continuous-time vs. discrete-time, periodic vs. aperiodic, energy signal vs. power signal, odd vs. even.
- Compute the output of an LTI system given the input and the impulse response through convolution sum and convolution integral.
- Understand the intuitive meaning of the frequency domain and the importance of analyzing and processing signals in the frequency domain.
- Use Laplace transform and evaluate system properties in the related field.
- Use some signal processing applications used in practice in projects.
- Use MATLAB software for some basic signal processing, work in teams and write reports.
Core Area Distribution
Teaching Methods
Assessment & Evaluation
ECTS / Workload
| Activity | Quantity | Duration (h) | Total Workload |
|---|---|---|---|
| Course Duration (Including Exam Week) | 15 | 3 | 45 |
| Out of Class Study Period | 13 | 3 | 39 |
| Midterm | 1 | 6 | 6 |
| Quiz | 5 | 2 | 10 |
| Assignment | 2 | 6 | 12 |
| Practice | 1 | 7 | 7 |
| Final | 1 | 6 | 6 |
Course Schedule
| Week | Subject | Preparation |
|---|---|---|
| 1 | Continuous and Discrete Time Systems | Oppenheim, Ch. 1.1-1.4 |
| 2 | Continuous and Discrete Time Systems | Oppenheim, Ch. 1.5-1.6 |
| 3 | Convolution in Continuous Linear Time-Invariant Systems | Oppenheim, Ch. 2.1-2.2 |
| 4 | Properties of LTI Systems. | Oppenheim, Ch. 2.3 – 2.5 |
| 5 | Laplace & Invers of Laplace Transformation | Oppenheim, Ch. 9.1-9.4 |
| 6 | Properties of Laplace Transformation | Oppenheim, Ch. 9.5-9.6 |
| 7 | Midterm Exam | Oppenheim, Ch. 1+2+9 |
| 8 | Fourier Series | Oppenheim, Ch. 3.2, 3.4, 3.5 |
| 9 | Contınuous-Time Fourier Transform | Oppenheim, Ch. 4.1-4.2 |
| 10 | Properties of CT Fourier & Invers of Fourier Transform | Oppenheim, Ch. 4.3-4.6 |
| 11 | Differential Equations solution by Fourier Transform | Oppenheim, Ch. 4.7 |
| 12 | Spectrum Representation | Oppenheim, Ch. 3.3 |
| 13 | Sampling and Aliasing | Oppenheim, Ch. 7 |
| 14 | Exercise and MATLAB | MATLAB Simulink |
| 15 | Final Exam | Oppenheim + MATLAB |