Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MV

Notes on the module handbook of the department Mechanical and Process Engineering

Die hier dargestellten veröffentlichten Studiengang-, Modul- und Kursdaten des Fachbereichs Maschinenbau und Verfahrenstechnik ersetzen die Modulbeschreibungen im KIS und wuden mit Ausnahme folgender Studiengänge am 28.10.2020 verabschiedet.

Ausnahmen:

Course MV-MTS-86605-K-4

Systems Theory (2V+1U, 3.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes (V/U) 3.0 CP 48 h
2 V Lecture 28 h
1 U Lecture hall exercise class 14 h
(2V+1U) 3.0 CP 42 h 48 h

Basedata

SWS 2V+1U
CP, Effort 3.0 CP = 90 h
Position of the semester 1 Sem. in SuSe
Level [4] Bachelor (Specialization)
Language [DE] German
Lecturers
Area of study [MV-MTS] Measurement and Sensor Technology
Additional informations
Livecycle-State [NORM] Active

Contents

  • Continuous time, linear time-invariant systems (LTI, causal systems, convolution)
  • Continuous time Fourier series and Fourier transformation (derivation, properties, correlations)
  • Discrete-time linear shift-invariant systems (LSI, causal system, convolution sum)
  • Discrete-time Fourier series and Fourier transformation (derivation, properties, correlations, interpolation, decimation)
  • Discrete Fourier transformation (DFT, fast Fourier transformation, zero padding, window function)
  • The Z transformation
  • Scanning of continuous time signals (correlations CTFT and DTFT, scan theorem, reconstruction of discrete-time signals, discrete-time processing of continuous time signal)
  • Discrete-time filters (FIR and IIR filter, CIC filter)

Competencies / intended learning achievements

1. Lecture

Students are able to

  • Describe linear, time-invariant systems
  • Derive continuous-time Fourier series (CTFS) and transformation (CTFT) and describe their properties
  • Describe discrete-time shift-invariant systems
  • Derive discrete-time Fourier series (DTFS) and transformation (DTFT) and describe their properties
  • Explain the effect of interpolation and decimation of a series of numbers on the frequency spectrum
  • Motivate and derive the discrete Fourier transformation (DTF) and describe the correlations to DTFT and DTFS

2. Practice

Students are able to

  • Calculate convolution integrals
  • Calculate the Fourier series and Fourier transformation of periodic and aperiodic continuous time signals
  • Calculate convolution sums
  • Calculate the Fourier series and Fourier transformation of periodic and aperiodic series of numbers
  • Expand and decimate series of numbers

Literature

  • A. V. Oppenheim und A. S. Wilsky, Signale und Systeme, VCH Verlag 1992

Requirements for attendance (informal)

Recommended:

Modules:

Requirements for attendance (formal)

None

References to Course [MV-MTS-86605-K-4]

Module Name Context
[MV-MTS-261-M-4] Systems Theory P: Obligatory 2V+1U, 3.0 LP
[PHY-SP-7-M-7] Schwerpunktmodul Messtechnik WP: Obligation to choose 2V+1U, 3.0 LP