course: Digital Signal Processing

number:
141042
teaching methods:
lecture with tutorials
media:
overhead transparencies, handouts, computer based presentation, black board and chalk
responsible person:
Prof. Dr.-Ing. Do­ro­thea Kolossa
lecturer:
Prof. Dr.-Ing. Do­ro­thea Kolossa (ETIT)
language:
german
HWS:
4
CP:
5
offered in:
winter term

dates in winter term

  • start: Monday the 14.10.2019
  • lecture Mondays: from 14:15 to 15.45 o'clock in HID
  • tutorial Wednesdays: from 16:15 to 17.00 o'clock in HID
  • lab exercise Wednesdays: from 15:15 to 16.00 o'clock in ID 03/121

Exam

Form of exam:written
Registration for exam:FlexNow
Date:27.02.2020
Begin:15:30
Duration:120min
Rooms : ID 04/471,  ID 04/459,  ID 04/445
Individual appointments of students to each exam location will be issued by the responsible chair.

goals

The students master systematic methods for the description and analysis of digital systems. They can model and simulate systems, both in the time and frequency domain. They know the theory of linear and time-invariant discrete-time systems for processing and transforming time-series signals according to mathematically formulated rules.

The students know the basic methods for the description and analysis of digital systems. They also know the construction of implementing structures and algorithms. They are able to formulate, interpret, understand and solve basic tasks related to the analysis and simulation of digital systems.

content

  • Discrete time and digital signals (real and complex-valued)
  • Characteristics of discrete signals and systems in the time and frequency domain
  • Sampling theorems for real and complex-valued low-pass signals
  • z-transform: existence, properties, stability of digital systems
  • Discrete time and discrete Fourier transform: properties and relationships to other transforms
  • Deterministic spectral analysis: DFT analysis of periodic signals, window functions
  • Transfer function: pole / zero representation, frequency response
  • Realizability conditions for digital systems
  • Design of recursive filters
  • Design of linear phase FIR filters
  • Structures of digital filters: canonical recursive (IIR) and nonrecursive (FIR) structures
  • Properties and applications of digital signal processors

requirements

keine

recommended knowledge

Topics covered in the lectures

  • Systems theory 1-3
  • Mathematics 1, 2 and 4
  • Computer science 1 and 3 (programming, digital technology)

in particular

  • Basics of linear & time invariant systems
  • Foundations of probability theory and statistics
  • Fourier analysis
  • Laplace transform
  • z-transform
  • Fundamentals of digital circuits
  • Basic programming skills

materials

script:

presentation slides:

tutorials:

miscellaneous

Sprechzeiten im Semester (in den Semesterferien nach Vereinbarung):

Prof. Dr.-Ing. Dorothea Kolossa: Mittwochs 09:30-11:00 ID2/325

M.Sc. Jan Freiwald: Dienstags 13:30-15:00 ID2/330

M.Sc. Nikola Markovic: Donnerstags 10:00-11:30 ID2/334

M.Sc. Wentao Yu: Freitags 12:30-14:00 ID2/322


Hilfsmittel für die Klausur:

Als Hilfsmittel sind ausschließlich ein nicht programmierbarer Taschenrechner, eine handschriftliche Formelsammlung (ein beidseitig beschriebenes DIN A4-Blatt), sowie Schreib- und Zeichengeräte zugelassen.