t.BA.XX.SISY1.06HS (Signals and Systems 1) 
Module: Signals and Systems 1
This information was generated on: 30 July 2021
Signals and Systems 1
Organised by


Version: 3.0 start 01 August 2020

Short description

Basics of signals, transforms and linear time invariant systems, in both the time and frequency domains.

Module coordinator

de Queiroz Tavares Marina (dqtm)

Learning objectives (competencies)

Objectives Competences Taxonomy levels
The students are able to characterize and describe signals with properties in the time and frequency domain.
F,M K3
The students know the Complex Fourier series, the Fourier transform and the Discrete Fourier transform.
And can code and interpret numerical implementations and/or approximations of these transformations.
F, M K3
Students are able to describe and interpret representations of LTI systems both in time and frequency domains.
The students know different representations for 1st and 2nd order systems and are able to code numerical simulations of such systems.
F,M K2, K3

Module contents

- Properties of signals & LTI systems, plus mathematical basics (test signals, complex-exp, convolution)
- Display and analysis of periodic signals (Fourier series and spectrum)
- Fourier transform and properties
- Sampling and reconstruction of signals (sampling theorem, aliasing)
- Display of time-discrete signals (DFT, spectrum)
- Various representations for LTI systems:
  Differential equation, block diagram, frequency response, impulse response, ...
- Relationships between the different representations and physical properties of 1st and 2nd order systems (LPF, HPF and BPF)
- Simulations and calculations in time (convolution with impulse response) and frequency domain (body diagrams & filtering)

- Exercises on PC + HW in groups matching the topics covered in theory
- Complementing and consolidating the theory

Teaching materials

- Script, exercises with and without solutions;
- PC software: Matlab and Python (optional)
- Common electrical engineering measuring instruments (e.g. function generator, oscilloscopes, PC audio card ...)

Supplementary literature

I.Rennert, Signale und Systeme, Einführung in die Systemtheorie
L.F.Chaparro, Signals and Systems using Matlab


- Complex numbers (Exp form)
- Understanding equations with sum signs (+ coding with for-loop)
- Plots in logarithmic scale for simple rational functions
- Integrals (antiderivative) for: sin, cos, exp, polynomial (ord. 0-3),
  plus numerical approximation
- Integrate with infinity limit, and with variable limits
- Ordinary differential equations
- Fundamentals of electricity theory and kinetics (for examples)

Teaching language

(X) German ( ) English

Part of International Profile

( ) Yes (X) No

Module structure

Type 3a
  For more details please click on this link: T_CL_Modulauspraegungen_SM2025


Description Type Form Scope Grade Weighting
Graded assignments during teaching semester       evaluation 40%
End-of-semester exam written exam 90 min evaluation 60%


The exam regulation during the "teaching semester" can be varied.
But the lecturer has to document and communicate the definitive evaluation form in a
module agreement during the first week of the study semester.

Legal basis

The module description is part of the legal basis in addition to the general academic regulations. It is binding. During the first week of the semester a written and communicated supplement can specify the module description in more detail.


Course: Signale und Systeme 1 - Praktikum
Signale und Systeme 1 - Praktikum


  • No module description is available in the system for the cut-off date of 01 August 2099.


This course is offered within the following additional modules:

Module no.Title
t.ME-3-31Ingenieur-Grundlagen Mechatronik
t.ET-3-30Ingenieur-Grundlagen Elektrotechnik (Kern)
t.SI-3-31Informatik-Grundlagen Kommunikation
Course: Signale und Systeme 1 - Vorlesung
Signale und Systeme 1 - Vorlesung


  • No module description is available in the system for the cut-off date of 01 August 2099.


This course is offered within the following additional modules:

Module no.Title
t.ET-3-30Ingenieur-Grundlagen Elektrotechnik (Kern)
t.ME-3-31Ingenieur-Grundlagen Mechatronik
t.SI-3-31Informatik-Grundlagen Kommunikation