# course: Digital Signal Processing

number:
141042
teaching methods:
lecture with tutorials
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 26.10.2020
• lecture Mondays: from 14:15 to 15.45 o'clock in Online
• tutorial Wednesdays: from 14:00 in Online

## Exam

##### Die Angaben zu den Prüfungsmodalitäten (im WiSe 2020/2021 | SoSe 2021) erfolgen vorbehaltlich der aktuellen Situation. Notwendige Änderungen aufgrund universitärer Vorgaben werden zeitnah bekanntgegeben.
 Form of exam: written Registration for exam: FlexNow Date: 09.09.2021 Begin: 08:30 Duration: 120min Room : HGD 20

## 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

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

## miscellaneous

Alle Materialien finden Sie unter: https://moodle.ruhr-uni-bochum.de/m/course/view.php?id=7502 (Anmeldung erforderlich)

Sprechzeiten im Semester (in den Semesterferien nach Vereinbarung):

Prof. Dr.-Ing. Dorothea Kolossa: Mittwochs 10:30-11:00 (Fragen zu Vorlesung & Übung, Allgemeines)

M.Sc. Benedikt Bönninghoff: Donnerstags 10:30-11:00 (Fragen zum Moodle und den Mini-Klausuren)

M.Sc. Wentao Yu: Freitags 12:30-13:00 (Fragen zu Matlab)

Alle Sprechzeiten sind online via zoom. Die zoom-Links sind im Moodle-Kurs zur Veranstaltung zu finden.