Lecture "Signals and Systems I"

Basic Information

Lecturers:   Gerhard Schmidt (lecture) 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

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

H.W. Schüßler: Netzwerke, Signale und Systeme II: Theorie kontinuierlicher und diskreter Signale und Systeme, Springer, 1991
H.D. Lüke: Signalübertragung, Springer, 1995



There will be no exercise in the first week of the semester (09.04.2019). The exercise will start the week after on the 16.04.2019.

Starting this semester exam procedure for Signals and Systems I will be adapted slightly. The notes on the exam execution and rules will be shortened. Instead of reading out the whole exam problems there will be 10 minutes of additional reading time. Please note that during this reading time no writing will be allowed.

Exam Results and Exam Inspection:

The results of the winter semester's exam of 20.09.2019 are online in the QIS-system. Please note the date of the exam inspection:

Date: Tuesday, 29.10.2019
Time: 10:00 h - 11:00 h
Room: Library of the DSS-group (D-037 A)

Please note that any information regarding your exam, including achieved points and "how close" you are to passing, can only be given out during an official exam inspection. Your grades will always be available through the QIS-system as soon as possible.



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)



Exercises can be found on an extra web page.



An online version of the slides (a script) can be found on an extra web page.



A formulary can be found below:



Current Exam

    Date: Friday, 21.09.2018
    Time: 09:00 h - 10:30 h
    Room: OHP5- Chemie I & Chemie II

Previous Exams

  Exam of the summer term 2019     Corresponding solution
  Exam of the winter term 2018/2019     Corresponding solution
  Exam of the summer term 2018     Corresponding solution
  Exam of the winter term 2017/2018     Corresponding solution
  Exam of the summer term 2017     Corresponding solution

Website News

27.01.2020: Contributions on nerve signal modeling and magnetic muscle measurement by OPMs availaible on IEEE (early access).

27.01.2020: Talk about magnetic shielding by Allard Schnabel (PTB, Berlin) takes place on Feb 13, 2020, 17 h, Room: C-SR 1.

26.01.2020: Some reflections on the year 2019 are online now.

17.12.2019: Journal paper on signal processing for breathing protection masks published.

23.11.2019: GaS price 2019 for Jannek Winter for an excellent bachelor topic on underwater communication systems.

15.11.2019: Our new MIMO-SONAR system (sponsored by DFG) is now ready for "take off".

20.10.2019: We had a very good retreat on the island of Sylt.

07.08.2019: Talk from Juan Rafael Orozco-Arroyave added.

11.07.2019: First free KiRAT version released - a game for Parkinson patients

Recent Publications


E. Elzenheimer, H. Laufs, W. Schulte-Mattler, G. Schmidt: Magnetic Measurement of Electrically Evoked Muscle Responses with Optically Pumped Magnetometers, IEEE Transactions on Neural Systems and Rehabilitation Engineering, January 2020, doi: 10.1109/TNSRE.2020.2968148


M. Brodersen, A. Volmer, G. Schmidt: Signal Enhancement for Communication Systems Used by Firefighter, EURASIP Journal on Audio, Speech, and Music Processing, vol. 21, pp. 1 - 19, 2019


E. Elzenheimer, H. Laufs, W. Schulte-Mattler, G. Schmidt: Signal Modeling and Simulation of Temporal Dispersion and Conduction Block in Motor Nerves, IEEE Transactions on Biomedical Engineering, November 2019, doi: 10.1109/TBME.2019.2954592


Prof. Dr.-Ing. Gerhard Schmidt

E-Mail: gus@tf.uni-kiel.de

Christian-Albrechts-Universität zu Kiel
Faculty of Engineering
Institute for Electrical Engineering and Information Engineering
Digital Signal Processing and System Theory

Kaiserstr. 2
24143 Kiel, Germany

How to find us

Recent News

Our SONAR Simulator Supports Speech Communication Now

Due to the work of Owe Wisch and Alexej Namenas (and of the rest of the SONAR team, of course) our SONAR simulator supports now a real-time mode for testing underwater speech communication. A multitude of "subscribers" can connect to our virtual ocean and send and receive signals. The simulator consists of large (time-variant) convolution engine as well as a realistic noise simulation that ...

Read more ...