# Coursebooks

## Signals and systems (for EL&IC)

#### Lecturer(s) :

Shkel Yanina Yurina

English

#### 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 :

1. Systems: Definitions (1 week)
2. LTI Systems (3 weeks)
3. The Frequency Response of stable LTI Systems (1 week)
4. Fourier Techniques for stable LTI Systems (3 weeks); with applications to Communication Systems and Signal Processing
5. 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

#### 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.

### In the programs

• Semester
Spring
• Exam form
Written
• Credits
4
• Subject examined
Signals and systems (for EL&IC)
• Lecture
2 Hour(s) per week x 14 weeks
• Exercises
2 Hour(s) per week x 14 weeks
• Semester
Spring
• Exam form
Written
• Credits
4
• Subject examined
Signals and systems (for EL&IC)
• Lecture
2 Hour(s) per week x 14 weeks
• Exercises
2 Hour(s) per week x 14 weeks
• Semester
Spring
• Exam form
Written
• Credits
4
• Subject examined
Signals and systems (for EL&IC)
• Lecture
2 Hour(s) per week x 14 weeks
• Exercises
2 Hour(s) per week x 14 weeks
• Passerelle HES - EL, 2020-2021, Spring semester
• Semester
Spring
• Exam form
Written
• Credits
4
• Subject examined
Signals and systems (for EL&IC)
• Lecture
2 Hour(s) per week x 14 weeks
• Exercises
2 Hour(s) per week x 14 weeks
• Passerelle HES - SC, 2020-2021, Spring semester
• Semester
Spring
• Exam form
Written
• Credits
4
• Subject examined
Signals and systems (for EL&IC)
• Lecture
2 Hour(s) per week x 14 weeks
• Exercises
2 Hour(s) per week x 14 weeks
• Semester
Spring
• Exam form
Written
• Credits
4
• Subject examined
Signals and systems (for EL&IC)
• Lecture
2 Hour(s) per week x 14 weeks
• Exercises
2 Hour(s) per week x 14 weeks

### Reference week

MoTuWeThFr
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
Under construction

Lecture
Exercise, TP
Project, other

### legend

• Autumn semester
• Winter sessions
• Spring semester
• Summer sessions
• Lecture in French
• Lecture in English
• Lecture in German