Digital Signal Processing

Faculty

Faculty of Engineering and Computer Science

Version

Version 1 of 27.01.2026.

Module identifier

11M0495

Module level

Master

Language of instruction

German, English

ECTS credit points and grading

5.0

Module frequency

only winter term

Duration

1 semester

 

 

Brief description

The processing of analogue signals from various fields is increasingly being carried out digitally. Students receive a systematic introduction to the theory and applications of fundamental phenomena and systems on a mathematical basis.

Teaching and learning outcomes

  1. Mathematical fundamentals
  2. Discrete signals and systems (convolution, state space, correlation)
  3. Sampling
  4. Random processes and key figures
  5. Spectral analysis
  6. Z-transform
  7. Filter design
  8. Selected applications

Overall workload

The total workload for the module is 150 hours (see also "ECTS credit points and grading").

Teaching and learning methods
Lecturer based learning
Workload hoursType of teachingMedia implementationConcretization
30LecturePresence-
15Laboratory activityPresence-
Lecturer independent learning
Workload hoursType of teachingMedia implementationConcretization
2Creation of examinations-
50Exam preparation-
53Preparation/follow-up for course work-
Graded examination
  • Written examination or
  • oral exam
Ungraded exam
  • Field work / Experimental work
Remark on the assessment methods

Written or oral examination at the lecturer's discretion.

Exam duration and scope

Graded examination performance:

  • Written examination: see the applicable study regulations
  • Oral examination: see the general section of the examination regulations

Ungraded examination performance:

  • Experimental work: Experiment: approx. 8 experiments in total

Recommended prior knowledge

Fourier analysis, Fourier transform, Laplace transform, transfer functions, frequency responses, sampling theorem, Bode diagrams, stability, design of analogue filters.

Knowledge Broadening

Graduates are familiar with the various forms of representation of discrete signals and systems. They can classify the terms in a mathematical context (signal spaces) and are able to implement elementary filtering methods.

Knowledge deepening

Graduates of this module use digital signal processing methods (window techniques, filters, correlation, etc.) in accordance with the requirements of the technical application.

Application and Transfer

Graduates will be able to apply the methods taught in the lecture and will have knowledge of the relevant tools for numerical synthesis and analysis (Matlab, Octave, Scilab, etc.).

Literature

  • Doblinger (2008): Zeitdiskrete Signale und Systeme.
  • Oppenheim, Schafer (2013): Discrete-Time Signal Processing.
  • Ingle, Proakis (2016): Digital Signal Processing Using Matlab.
  • Porat (1996): Digital Signal Processing.
  • Mallat (2009): A Wavelett Tour of Signal Processing-The Sparse Way.

Applicability in study programs

  • Automotive Engineering (Master)
    • Automotive Engineering M.Sc. (01.09.2025)

  • Computer Science
    • Computer Science M.Sc. (01.09.2025)

  • Electrical Engineering (Master)
    • Electrical Engineering M.Sc. (01.09.2025)

    Person responsible for the module
    • Rehm, Ansgar
    Teachers
    • Rehm, Ansgar