Institute for measurement and sensor technology

Signals and Systems

Teaching in the Summer Semester 2023

Please see here

Previously "Systemtheory"

Contents

From [MV-MTS-86605-K-7] Signals and Systems:

  • 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 (fast Fourier transformation, zero padding, window function)
  • Laplace and 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

From [MV-MTS-86605-K-7] Signals and Systems:

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

From [MV-MTS-86605-K-7] Signals and Systems:

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

Requirements for attendance of the module (informal)

Recommended:

Modules:

Requirements for attendance of the module (formal)

None

Information