## Lecture "Signals and Systems I"

Basic Information
Lecturers: Gerhard Schmidt (lecture), Patricia Piepjohn and  Johannes Hoffmann (exercise)
Room: C-SR-I
Language: German
Target group: Students in electrical engineering and computer engineering
Prerequisites: Mathematics for engineers I, II & III; Foundations in electrical engineering I & II
Contents:

This course teaches basics in systems theory for electrical engineering and information technology. This basic course is restricted to continuous and deterministic signals and systems.

Topic overview:

• Basic classes of signals and systems
• Introduction and notation
• Signals
• Systems
• Signals
• Elementary signals
• Reaction of linear systems on elementary signals
• Signal decomposition into elementary signals
• Spectral representations of deterministic signals
• Fourier series, Discrete Fourier Transform (DFT)
• Fourier transform
• Laplace and z transform
• Linear systems
• Reaction on elementary signals
• Reaction on arbitrary signals
• Quantities for describing linear systems and their relations
• Stability of linear systems
• Rational transfer-functions
• Modulation
• Basics
• Sampling theorem
References: H.W. Schüßler: Netzwerke, Signale und Systeme II: Theorie kontinuierlicher und diskreter Signale und Systeme, Springer, 1991
H.D. Lüke: Signalübertragung, Springer, 1995

#### News

30.09.2021 - The grades of the exam from 21.09.21 are now available in the QIS-system. The exam inspection will be held on 22.10.2021, starting at 8 am with an appointment. More detailed information will be sent out soon by mail.

04.04.2021 - We will start the lecture during the first exercise: 19.04.2021 at 14:30 h. Please use the zoom link of the lecture (provided via OLAT) for joining.

#### Lecture Slides

Slides of the lecture "Introduction"
(details of the lecture, notation, signals, systems)
Slides of the lecture "Signals"
(basic signals, reaction on basic signals, signal decomposition)
Slides of the lecture "Spectral Representations - Part 1"
(Fourier series, Discrete Fourier Transform)
Slides of the lecture "Spectral Representations - Part 2"
(Fourier Transform)
Slides of the lecture "Spectral Representations - Part 3"
(Laplace and z-transform)
Slides of the lecture "Linear Systems"
(Basics and relations between different system descriptions)
Slides of the lecture "Modulation"
(Basics and linear modulation schemes)

#### Lecture Videos

Introduction - part 1 of 3

22.04.2021 - 10:00 h

Introduction - part 2 of 3

22.04.2021 - 10:00 h

Introduction - part 3 of 3

22.04.2021 - 10:00 h

Signals - part 1 of 3

29.04.2021 - 10:00 h

Signals - part 2 of 3

29.04.2021 - 10:00 h

Signals - part 3 of 3

06.05.2021 - 10:00 h

Spectra, Fouier series and DFT - part 1 of 3

06.05.2021 - 10:00 h

Spectra, Fouier series and DFT - part 2 of 3

06.05.2021 - 10:00 h

Spectra, Fouier series and DFT - part 3 of 3

20.05.2021 - 10:00 h

Spectra, Fouier transformations - part 1 of 3

20.05.2021 - 10:00 h

Spectra, Fouier transformations - part 2 of 3

20.05.2021 - 10:00 h

Spectra, Fouier transformations - part 3 of 3

27.05.2021 - 10:00 h

Spectra, z and Laplace transform - part 1 of 3

27.05.2021 - 10:00 h

Spectra, z and Laplace transform - part 2 of 3

27.05.2021 - 10:00 h

Spectra, z and Laplace transform - part 3 of 3

03.06.2021 - 10:00 h

Linear systems - part 1 of 4

10.06.2021 - 10:00 h

Linear systems - part 2 of 4

10.06.2021 - 10:00 h

Linear systems - part 3 of 4

17.06.2021 - 10:00 h

Linear systems - part 4 of 4

24.06.2021 - 10:00 h

Modulation - part 1 of 1

01.07.2021 - 10:00 h

#### Exercises

Please prepare exercises 1 and 2. 26.04.2021 - 14:30 h
Please prepare exercises 5, 6 and 7. 03.05.2021 - 14:30 h
Please prepare exercises 9 and 11. 10.05.2021 - 14:30 h
Please prepare exercises 12, 14 and 15 31.05.2021 - 14:30 h
Please prepare exercises 16 and 18 07.06.2021 - 14:30 h
Please prepare exercises 19 and 21 14.06.2021 - 14:30 h
Please prepare exercises 23 and 25 21.06.2021 - 14:30 h
Please prepare exercises 27 and 28 28.06.2021 - 14:30 h
Please prepare exercises 30 and 31 05.07.2021 - 14:30 h

#### Solutions for the Exercises

Solutions to all exercises.

#### Exercise Videos

Exercise 1

26.04.2021 - 14:30 h

Exercise 2

26.04.2021 - 14:30 h

Exercise 3

Optional exercise

Exercise 4

Optional exercise

Exercise 5

03.05.2021 - 14:30 h

Exercise 6

03.05.2021 - 14:30 h

Exercise 7

03.05.2021 - 14:30 h

Exercise 8

Optional exercise

Exercise 9

10.05.2021 - 14:30 h

Exercise 10

Optional exercise

Exercise 11

10.05.2021 - 14:30 h

Exercise 12

31.05.2021 - 14:30 h

Exercise 13

Optional exercise

Exercise 14

31.05.2021 - 14:30 h

Exercise 15

31.05.2021 - 14:30 h

Exercise 16

07.06.2021 - 14:30 h

Exercise 17

Optional exercise

Exercise 18

07.06.2021 - 14:30 h

Exercise 19

14.06.2021 - 14:30 h

Exercise 20

Optional exercise

Exercise 21

14.06.2021 - 14:30 h

Exercise 22

Optional exercise

Exercise 23

21.06.2021 - 14:30 h

Exercise 24

Optional exercise

Exercise 25

21.06.2021 - 14:30 h

Exercise 26

Optional exercise

Exercise 27

28.06.2021 - 14:30 h

Exercise 28

28.06.2021 - 14:30 h

Exercise 29

Optional exercise

Exercise 30

05.07.2021 - 14:30 h

Exercise 31

05.07.2021 - 14:30 h

Exam preparation (exam of winter term 2017/2018)

Exam preparation (exam of winter term 2020/2021)

#### Matlab Theory Examples

How to use Matlab as a student:

2. Windows Remote Server
Matlab intro 17.05.2021
System properties demo 26.04.2021
Periodicity demo 03.05.2021
Fourier series demo 10.05.2021
DFT demo 10.05.2021
Fourier transform demo (Try at home) 17.05.2021
Fourier transform demo 07.06.2021
Convolution demo 14.06.2021
Laplace tranform demo 21.06.2021
z-Domain system demo 28.06.2021

#### Evaluation

Current evaluation Completed evaluations

#### Formulary

A formulary can be found below: