Course Diskrete-Time Signals and Systems

Responsible: Prof. Dr. Rainer Bartz


Meets requirements of following modules(MID)

Course Organization

created 2013-06-20
valid from WS 2012/13
valid to
Course identifiers
Long name Diskrete-Time Signals and Systems
CEID (exam identifier)

Contact hours per week (SWS)
Lecture 2
Exercise (unsplit)
Exercise (split) 1
Lab 1
Total contact hours
Lecture 30
Exercise (unsplit)
Exercise (split) 15
Lab 15
Tutorial (voluntary)
Max. capacity
Exercise (unsplit)
Exercise (split) 40
Lab 10

Total effort (hours): 150

Instruction language

  • German, 80%
  • English, 20%

Study Level

  • undergraduate


  • content of F07_ASS
  • sequences and series

Textbooks, Recommended Reading

  • Carlson, G. E.: Signal and Linear System Analysis, John Wiley & Sons, Inc.
  • Girod, B.: Einführung in die Systemtheorie, Teubner Verlag
  • von Grünigen, D. Ch.: Digitale Signalverarbeitung, Fachbuchverlag Leipzig
  • Hsu, H.P.: Signals and Systems, Schaums Outlines
  • Meyer, M.: Signalverarbeitung, Verlag Vieweg
  • Ohm, J.-R.; Lüke, H. D.: Signalübertragung, Springer-Verlag
  • Oppenheim, A.V.; Wilsky, A.S.:Signals & Systems, Prentice Hall
  • Werner, M.: Signale und Systeme, Verlag Vieweg


  • Prof. Dr. Rainer Bartz
  • Prof. Dr. Harald Elders-Boll
  • Prof. Dr. Andreas Lohner

Supporting Scientific Staff

  • Dipl.-Ing. Martin Seckler
  • Dipl.-Ing. Norbert Kellersohn

Transcipt Entry

Diskrete-Time Signals and Systems


wE written exam

Total effort [hours]
wE 10

Frequency: 2-3/year

Course components



  • signals
    • Fourier transform (DTFT) of discrete-time signals
      • theorems and examples
    • discrete Fourier transform (DFT)
      • derivation and definition of the DFT (and inverse DFT)
      • resolution in time and frequenzy domain
    • z-transform
      • single-sided z-transform
      • z-transform pairs and theorems
      • initial and final value theorem
      • inverse transform using partial fraction expansion
      • time signal evaluation through power series expansion
      • relationship to DTFT
  • systems; signal transmission
    • discrete-time (DT) LTI sytems
      • difference equations and block diagrams
      • DT unit impulse and impulse response
      • DT step and step response
      • DT convolution
      • z-transform of a delay element
      • the z-transfer function
      • pole-zero plot and stability
      • FIR and IIR systems
    • design of DT filter systems
      • canonical system structures: DF1, DF2
      • ideal DT low pass filter
      • design of IIR filter
      • design of FIR filter
      • comparison between FIR and IIR filter

Acquired Skills
  • students acquire fundamental knowledge on theory and applications of discrete-time signals and systems
  • they understand the behavior of typical systems
  • they can apply algorithms for convolution, Fourier-, and z-transform
  • they are able to design a system, to model a system, and to analyze it in time and frequency domain
  • they can apply system theory to real-world systems

Operational Competences
  • students can implement a discrete-time system based on given requirements

Additional Component Assessment

fAP (optional) assessed problem solving
fSP supervised/assisted problem solving

Contribution to course grade
fAP (if offered) rated: 20%
fSP not rated

Frequency: 1/year



  • sampling input and output signals of a CT system
  • basic algorithms of signal processing
  • design of a small system from a requirements specification

Acquired Skills
  • students can use state of the art tools for system modelling and simulation
  • they understand the relationship between CT and DT systems and can explain the most important effects

Operational Competences
  • students are able to solve problems in small teams
  • they can analyze measurement results and extract knowledge about the underlying system
  • they are able to model and simulate a real-world system
  • they can detect a wrong sample rate and adjust it
  • they are able to implement basic algorithms of digital signal processing

Additional Component Assessment

fSC 2-3 lab experiments

Contribution to course grade
fSC prerequisite for course exam

Frequency: 1/year

Topic-Revision: r3 - 11 Jan 2016, GeneratedContent
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