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                      | Detailed information | 
                     
                                
                    
                      | Original study plan | 
                      Bachelor's programme Artificial Intelligence 2022W | 
                     
                      
                    
                      | Objectives | 
                      Students know and understand the basics of analog as well as discrete-time 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 discrete-time 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 time-frequency analysis.
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                      | 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
 
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                      | Criteria for evaluation | 
                      Written Exam
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                      | Methods | 
                      Lecture using slides and blackboard, Matlab based presentations
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                      | Language | 
                      English | 
                     
                      
                    
                      | Study material | 
                      - Lecture Slides
 - Alan V. Oppenheim, Ronald W. Schafer, Discrete-Time Signal Processing: Pearson New International Edition, Pearson Education Limited 2014.
 
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                      | Changing subject? | 
                      No | 
                     
                      
                    
                     
                    
                    
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