| (*)Students are able to assess analog and discrete time systems with regards to basic system properties such as linearity, time-invariance, memory, … (K2, K3, K5),
plot signals in time- and frequency domain (K3, K6),
explain, apply, and derive the sampling theorem (K2, K5),
apply the convolution and correlation operations (K3),
derive the spectrum of a signal numerically with the help of the DFT and the FFT (K3, K6),
describe the behavior of discrete-time LTI systems in time- and frequency domain (K2, K3,K6),
analyze and design digital FIR and IIR filters (K3, K4, K6), and
apply the LMS adaptive filter algorithm (K2, K3). 
 | (*) 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 Filter Basics
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