Signals and systems (for EL)
Summary
This class teaches the theory of linear time-invariant (LTI) systems. These systems serve both as models of physical reality (such as the wireless channel) and as engineered systems (such as electrical circuits, filters and control strategies).
Content
The design of advanced systems (such as WiFi, cell phones, drones, airplanes) requires a thorough theoretical underpinning. This class teaches one of the most powerful and important pillars: The theory of linear time-invariant (LTI) systems. These systems serve both as models of physical reality (such as the wireless channel) and as engineered systems (such as filters and control strategies).
The class will cover the following topics :
- Systems: Definitions (1 week)
- LTI Systems (3 weeks)
- The Frequency Response of stable LTI Systems (1 week)
- Fourier Techniques for stable LTI Systems (3 weeks); with applications to Communication Systems and Signal Processing
- Laplace and Z-Transform Techniques for LTI Systems (5 weeks); with applications to Control Systems
Keywords
Systems, Circuits, Signals, Frequency Response, Transfer Function, Fourier Transform, Laplace Transform, Z Transform, Stability, Causality, Sampling
Learning Prerequisites
Required courses
Analysis I, II, III. Linear algebra I.
Recommended courses
Linear algebra II
Learning Outcomes
By the end of the course, the student must be able to:
- Describe properties of LTI systems
- Solve for poles and zeros of LTI systems
- Recall properties of CT Fourier transform
- Analyze LTI systems by spectral analysis
- Operate with Fourier transform tools
- Work out / Determine impulse response of CT LTI
Teaching methods
- Classroom lectures
- Written exercises
- Graded homework problems
Expected student activities
- Read course book in english (the course is taught in english)
Assessment methods
Homeworks and written mid-term exam and final exams
Resources
Bibliography
The following is a recommended (but not required) book:
A. V. Oppenheim and A. S. Willsky, with S. Hamid Nawab, Signals and Systems. Upper Saddle River, NJ: Prentice Hall, 2nd ed., 1996.
Ressources en bibliothèque
Notes/Handbook
will be made available
Moodle Link
In the programs
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Signals and systems (for EL)
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Signals and systems (for EL)
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
Reference week
| Mo | Tu | We | Th | Fr | |
| 8-9 | |||||
| 9-10 | |||||
| 10-11 | |||||
| 11-12 | |||||
| 12-13 | |||||
| 13-14 | |||||
| 14-15 | |||||
| 15-16 | |||||
| 16-17 | |||||
| 17-18 | |||||
| 18-19 | |||||
| 19-20 | |||||
| 20-21 | |||||
| 21-22 |
Légendes:
Lecture
Exercise, TP
Project, other