Note: The lecture and practice documents are on ILIAS
This lecture is in german
Content of the lecture
1. Signals and systems
- signals
- Time-continuous signals
- Discrete-time signals
- systems
2. Time-continuous LTI systems in the time domain
- Linear ordinary differential equation with constant coefficients
- Solution of the differential equation
- impulse response
- folding
- Properties of LTI systems
3. Time-discrete LTI systems in the time domain
- Linear difference equation with constant coefficients
- Solution of the difference equation
- impulse response
- folding
- Properties of LTI systems
4. Fourier analysis of continuous-time signals and LTI systems
- motivation
- Orthogonal functions
- Fourier series
- Properties of the Fourier series
- Fourier transform
- Properties of the Fourier transform
- Fourier transformation with Dirac share
- Signals in the frequency domain
- LTI systems in the frequency domain
- Simple frequency-selective systems
5. Fourier analysis of discrete-time signals and LTI systems
- Special features of discrete-time sinewave signals
- Fourier series
- Fourier transform
- Properties of the Fourier transform
- Sampling
- LTI systems in the frequency domain
6. Analysis of signals and LTI systems in the complex plane
7. More general signals and systems
- Multi-channel signals and systems
- Multidimensional signals and systems
- Linear and time-variant systems
- Nonlinear systems
- Stochastic signals