
Detailed information 
Original study plan 
Bachelor's programme Artificial Intelligence 2023W 
Objectives 
Students know and understand the basics of analog as well as discretetime signals and systems qualitatively and mathematically and can apply them to fundamental problems. They are able to
 plot signals in time and frequency domain,
 explain the sampling theorem,
 apply the convolution operation,
 derive the spectrum of a signal numerically with the help of the DFT and the FFT,
 describe the behavior of discretetime LTI systems in time and frequency domain,
 analyze and design digital FIR and IIR filters, and
 apply the correlation operation.
Students know and understand the basics of adaptive filters, and the basics of timefrequency analysis.

Subject 
 Basics of Analog Systems Theory
 Discrete Time Signals Fundamentals
 Discrete Time LTI Systems Fundamentals
 Fourier Transform of Discrete Time Signals (DTFT)
 Sampling and Reconstruction
 Correlation
 Spectral Analysis of Discrete Time Signals (DFT, FFT, Short Time Fourier Transformation, Applications)
 z Transform
 Digital Filters (FIR, IIR)
 Vector Matrix Representations of Discrete Time Signals and LTI Systems
 Adaptive Filters

Criteria for evaluation 
Written Exam

Methods 
Lecture using slides and blackboard, Matlab based presentations

Language 
English 
Study material 
 Lecture Slides
 Alan V. Oppenheim, Ronald W. Schafer, DiscreteTime Signal Processing: Pearson New International Edition, Pearson Education Limited 2014.

Changing subject? 
No 
Corresponding lecture 
521HARDDSVV13: VL Digitale Signalverarbeitung (3 ECTS)

