## Lecture "Signals and Systems I"

#### Basic Information

Lecture overview
Lecturers:   Gerhard Schmidt (lecture), Patricia Piepjohn and  Marco Gimm (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

04.06.2020 - We have to switch the exercise and the lecture talk time in one week. Thus, on Monday, 22.06.2020 we will discuss questions concerning the lecture. The exercise of will take place on Thursday, 25.06.2020.

10.04.2020 - First video lecture on signals (part 1 of 3) in now complete and online via YouTube (also embedded below).

07.04.2020 - Indroduction (3 videos) in now complete and online via YouTube (also embedded below).

01.04.2020 - First lecture (30 minutes, introduction) is online via YouTube and embedded below.

#### 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

16.04.2020 - 10:00 h

Introduction - part 2 of 3

16.04.2020 - 10:00 h

Introduction - part 3 of 3

16.04.2020 - 10:00 h

Signals - part 1 of 3

23.04.2020 - 10:00 h

Signals - part 2 of 3

23.04.2020 - 10:00 h

Signals - part 3 of 3

30.04.2020 - 10:00 h

Spectra, Fouier series and DFT - part 1 of 3

30.04.2020 - 10:00 h

Spectra, Fouier series and DFT - part 2 of 3

30.04.2020 - 10:00 h

Spectra, Fouier series and DFT - part 3 of 3

07.05.2020 - 10:00 h

Spectra, Fouier transformations - part 1 of 3

14.05.2020 - 10:00 h

Spectra, Fouier transformations - part 2 of 3

14.05.2020 - 10:00 h

Spectra, Fouier transformations - part 3 of 3

28.05.2020 - 10:00 h

Spectra, z and Laplace transform - part 1 of 3

28.05.2020 - 10:00 h

Spectra, z and Laplace transform - part 2 of 3

04.06.2020 - 10:00 h

Spectra, z and Laplace transform - part 3 of 3

11.06.2020 - 10:00 h

#### Exercises

Please prepare excercises 1 and 2.   20.04.2020 - 14:30 h
Please prepare excercises 5, 6, and 7.   27.04.2020 - 14:30 h
Please prepare excercises 9 and 11.   04.05.2020 - 14:30 h
Please prepare excercise 12   11.05.2020 - 14:30 h
Please prepare excercises 14 and 15   18.05.2020 - 14:30 h
Please prepare excercises 16 and 18   25.05.2020 - 14:30 h
Please prepare excercises 19 and 21   08.06.2020 - 14:30 h
Please prepare excercises 23 and 25   15.06.2020 - 14:30 h
Please prepare excercises 27 and 28   25.06.2020 - 10:00 h
Please prepare excercises 30 and 31   29.06.2020 - 14:30 h

#### Solutions for the Exercises

Solutions to all exercies.

#### Exercise Videos

Exercise organisation

20.04.2020 - 14:30 h

Exercise 1

20.04.2020 - 14:30 h

Exercise 2

20.04.2020 - 14:30 h

Exercise 5

27.04.2020 - 14:30 h

Exercise 6

27.04.2020 - 14:30 h

Exercise 7

27.04.2020 - 14:30 h

Exercise 9

04.05.2020 - 14:30 h

Exercise 11

04.05.2020 - 14:30 h

Exercise 12

11.05.2020 - 14:30 h

Exercise 14

18.05.2020 - 14:30 h

Exercise 15

18.05.2020 - 14:30 h

Exercise 16

25.05.2020 - 14:30 h

Exercise 18

25.05.2020 - 14:30 h

Exercise 19

08.06.2020 - 14:30 h

Exercise 21

08.06.2020 - 14:30 h

#### Evaluation

Current evaluation     Completed evaluations

#### Formulary

A formulary can be found below:

Formulary