Signals and Systems

11B0392

Bachelor

German

5.0

winter and summer term

1 semester

Systems theory is an elementary foundation of all engineering disciplines, providing mathematical models and methods that allow us to gain uniform insights into the functioning of a wide variety of technical equipment and to make quantitative statements about system behavior. In the "Signals and Systems" module, signal and system theory methods for continuous-time and discrete-time determinate signals are introduced using the example of electrotechnical systems and applied to the analysis and synthesis of electrotechnical systems in the time and frequency domain.

1. signals (e.g. signal properties, continuous-time and discrete-time signals, elementary signals, Dirac impulse and its application, elementary functions in system theory);
2. systems (e.g. system properties, linear time-invariant systems (LTI), impulse response and step response, stability studies, calculation of system response in the time domain using convolution);
3. harmonic analysis of periodic signals (e.g. real and complex Fourier series, system response of LTI systems with periodic excitations, power and rms values),
4. Fourier transform and its application (e.g. derivation from the Fourier series representation (aperiodic signals), properties of the Fourier transform; spectrum of aperiodic signals, calculation of the system response of an LTI system in the frequency domain, application to discrete-time signals);
5. the Laplace transform and its application (e.g. derivation from the Fourier transform (causal signals), properties of the Laplace transform, correspondences and practical procedure for the reverse transform; calculation of compensation processes in the time and image domain, pole-zero diagram, stability investigations)  
6. z-transform and its application (definition, properties, application in discrete-time LTI systems)

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

• Written examination

Students know the methods of signal and system theory and can apply the corresponding methods of Fourier series expansion, the Fourier transform, the Laplace transform and the Z transform to subject-specific problems. They know the validity conditions and the relationship between these calculation methods. They can represent different signals and systems in the time and frequency domain.

Students have basic knowledge of the analysis and synthesis of control and communication systems.

Students can apply their knowledge of signals and systems to problems from various technical fields. They are able to investigate technical problems using system theory in the time and frequency domain and can evaluate system properties.

Students can analyze given technical tasks and create suitable network models for them. They are able to record and present the influence of input and system variables on defined target variables.

Students can precisely describe signal and system properties and present technical systems in a structured manner.

• Roer, Peter

• Roer, Peter
• Heimbrock, Andreas
• T?njes, Ralf
• Rehm, Ansgar
• Emeis, Norbert