Signals and Systems

Modul group: Fundamentals of systems engineering

The concepts of signals and systems are powerful tools for any engineer dealing with information bearing, measurable physical quantitites. Areas of applications include, among others, communications engineering, signal processing, control engineering, and systems engineering.


The Description of the module you find here.

  • basic properties of discrete-time and continuous-time systems
  • z-transformation
  • linear time-invariant systems, convolution integral
  • Fourier transformation, discrete Fourier transformation, Fourier series
  • sampling theorem
  • probability theory, random variables and stochastic processes
  • stochastic signals and linear time-invariant systems

  1. The students will be able to classify, interpret, and compare signals and systems with respect to their characteristic properties. They can explain and apply analytical and numerical methods to analyze and synthesize signals and systems in time and frequency domain. Suitable signal transformations can be chosen and calculated with the help of transformation tables.
  2. The students are able to recognize stochastic signals and analyze them based on their characteristic properties. They can calculate and interpret the influence of linear time-invariant systems on stochastic signals.

The online part of the study programme takes place in self studies and in form of group work. For the self study part video lectures with detailed information about the contents and an elaborated script is offered. The script is developed especially for extra-occupational learners in regard to the didactic concept of Ulm University. It contains learning stopps, multiple and single choice tests, quizzes, exercises, etc. Lecture notes and further materials and forums are available in a modern web-based e-learning environment.

Tutorials for solving problems and exercises are offered by your mentor typically bi-weekly and held via video conferences. These seminars will help you handling the exercises and working on the learning matters. An online forum for exchange with the other students will also be available. 

Requirement is a first graduate degree.

Contentual: Solid knowledge of advanced mathematics at least on the level of a bachelor’s degree in engineering is required. Especially the following topics are very important:

  • Linear algebra 
  • Analysis (series, functions, derivatives, integrals, complex numbers)

Recommended requirements:

  • Desktop computer or notebook, with a supported version of Microsoft Windows, Apple macOS or Linux
  • Headset
  • Current version of Mozilla Firefox, Google Chrome, Apple Safari or Microsoft Edge
  • Access to the internet (e.g., via xDSL, Cable, LTE, 5G) with a minimum data rate of 3 Mbit/s for downstream and 384 kbit/s for upstream.

In case of questions regarding the technical requirements, please don't hesitate to contact us.

Regular participation in online seminars will help you solving exercises, which have to be loaded up to the learning management system after request of the mentor. Passing the exercises successfully is recommended for participation in the final examination at Ulm University.

After finishing your exame successfully you will get a certificate and a supplement, which will list the contents of the module and the competencies you have acquired. In the supplement the responsible person for the module confirms you the equivalent of 6 credit points (ECTS).

Participation fee for certificate course: 1170 Euro

Fee after matriculation: 990 Euro





For more information on other courses in English offered by SAPS and its overall didactic concept please click here.


Dr. Werner Teich
Institute of Communications Engineering


Dipl.-Inf. Steffen Moser
Institute of Embedded Systems/Real-Time Systems

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