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UE Discrete Time Signal Processing

Learning Outcome

This course expands the knowledge of the methods covered in the course „KV Discrete Time Signal Processing“. The students gain the ability to develop and analyze digital signal processing systems as well as to implement such systems in digital signal processors.

Course Content

  • continous Fourier transform
  • signal processing using MATLAB
  • analog filters: filter types, design methods
  • z-transform
  • discrete-time filters: design of FIR and IIR systems
  • filter structures
  • discrete-time Fourier transform: computational complexity, Goertzel algorithm
  • multirate signal processing: decimation, interpolation
  • discrete time Hilbert transform
  • sampling of bandpass signals
  • cepstrum analysis

Learning Methods and Activities

Examples presented by lecturer, home exercises, written final exam


  • 4 home exercises: 50% of final grade
  • Written final exam: 50% of final grade
  • In order to pass the course it is required to pass the final exam and to acquire more than 50% of all possible points.


  • Lecture notes: Übungen zu Digitale Signalverarbeitung
  • Oppenheim, Alan V. ; Schafer, Roland W.: Discrete-Time Signal Processing - Third Edition. Pearson, 2010
  • Oppenheim, Alan V. ; Willsky, A.: Signals and Systems - Second Edition. Prentice Hall, 1996
  • Brigham, E.: The Fast Fourier Transform and its Applications. Prentice Hall, 1998
  • Rabiner, Lawrence R. ; Gold, Bernard: Theory and Application of Digital Signal Processing. Prentice Hall, 1975