Lehrinhalte
Examples of signals and systems.
Specific signals, generalized functions, impulse function, step function, time represenation of signals and systems, linear time invariant systems, impulse response, convolution.
Fourier Series: Motivation; Fourier series with real coefficients; Fourier series with complex coefficients; properties of the Fourier series, convegence conditions, examples and applications.
Fourier Transform: Motivation - Deriviation from Fourier series - Dirichlet conditions - generalized functions, delta function - step function - properties of Fourier-transform - special cases - examples and applications, expansion into partial fractions
Representation of signals and systems in frequency domain, Time invariant systems, convolutions theorem,- Parsevals theorem - properties-examples and applications.
Systems and Signals: Bandlimited and time limited systems - systems with only one energy store - examples and applications
Laplace Transform: Motivation - single sided L-transform - inverse L-transform - theorems of L- transform - examples and applications.
Linear differential equations: Time invariant systems,equivalent circuits for passive electrical elements - examples and applications.
Discrete signals: series of numbers, relationship discrete and continuous signals, impulse sequence, step sequence, exponential sequence, periodicity in frequency and time.
z-Transform: motivation, relationship to Laplace-Transform, definition one-sided z-Transform, convergence, examples and applications, properties of the z-Transform, discrete convolution, inverse z-Transform, partial fraction expansion.
Discrete Systems: general description, properties, LTI systems, impulse response, step response, connection of systems, linear difference equations, discrete time and image area, transfer function, block diagrams, IIR- and FIR-systems.
Signal Sampling and Reconstruction: ideal sampling and reconstruction in time and frequency domain, sampling theorem, practical aspects.
Discrete-Time Fourier Transform (DTFT): motivation, relationship to Fourier-Transform, definition of DTFT, examples and applications, properties, inverse transform, system description via DTFT, Parsevals Theorem.
Discrete Fourier Transform (DFT): motivation, relationship to DTFT, definition of DFT, examples and applications, properties, inverse transform, practical aspects, cyclic convolution.
Literature
The slides of the lecture, documentation for the exercises and numerous additional documents will be provided in electronic form.
[u]Basic Literature:[/u]
A. Fettweis, Elemente nachrichtentechnischer Systeme, Teubner Verlag, 2. Auflage, Stuttgart/Leipzig, 1996.
S. Soliman and M.D. Srinath, Continuous and Discrete Signals and Systems, Prentice Hall, New Jersey, 1990.
T. Frey, M. Bossert, Signal- und Systemtheorie, Teubner Verlag, 2004
H. Clausert, G. Wiesemann "Grundgebiete der Elektrotechnik 2", Oldenbourg, 1993.Otto Föllinger "Laplace-, Fourier- und z-Transformation", Hüthig, 2003.
[u]Exercises:[/u]
Hwei Hsu "Signals and Systems", Schaums Outlines, 1995
Voraussetzungen
Elektrotechnik und Informationstechnik I und Elektrotechnik und Informationstechnik II
Examples of signals and systems.
Specific signals, generalized functions, impulse function, step function, time represenation of signals and systems, linear time invariant systems, impulse response, convolution.
Fourier Series: Motivation; Fourier series with real coefficients; Fourier series with complex coefficients; properties of the Fourier series, convegence conditions, examples and applications.
Fourier Transform: Motivation - Deriviation from Fourier series - Dirichlet conditions - generalized functions, delta function - step function - properties of Fourier-transform - special cases - examples and applications, expansion into partial fractions
Representation of signals and systems in frequency domain, Time invariant systems, convolutions theorem,- Parsevals theorem - properties-examples and applications.
Systems and Signals: Bandlimited and time limited systems - systems with only one energy store - examples and applications
Laplace Transform: Motivation - single sided L-transform - inverse L-transform - theorems of L- transform - examples and applications.
Linear differential equations: Time invariant systems,equivalent circuits for passive electrical elements - examples and applications.
Discrete signals: series of numbers, relationship discrete and continuous signals, impulse sequence, step sequence, exponential sequence, periodicity in frequency and time.
z-Transform: motivation, relationship to Laplace-Transform, definition one-sided z-Transform, convergence, examples and applications, properties of the z-Transform, discrete convolution, inverse z-Transform, partial fraction expansion.
Discrete Systems: general description, properties, LTI systems, impulse response, step response, connection of systems, linear difference equations, discrete time and image area, transfer function, block diagrams, IIR- and FIR-systems.
Signal Sampling and Reconstruction: ideal sampling and reconstruction in time and frequency domain, sampling theorem, practical aspects.
Discrete-Time Fourier Transform (DTFT): motivation, relationship to Fourier-Transform, definition of DTFT, examples and applications, properties, inverse transform, system description via DTFT, Parsevals Theorem.
Discrete Fourier Transform (DFT): motivation, relationship to DTFT, definition of DFT, examples and applications, properties, inverse transform, practical aspects, cyclic convolution.
Literature
The slides of the lecture, documentation for the exercises and numerous additional documents will be provided in electronic form.
[u]Basic Literature:[/u]
A. Fettweis, Elemente nachrichtentechnischer Systeme, Teubner Verlag, 2. Auflage, Stuttgart/Leipzig, 1996.
S. Soliman and M.D. Srinath, Continuous and Discrete Signals and Systems, Prentice Hall, New Jersey, 1990.
T. Frey, M. Bossert, Signal- und Systemtheorie, Teubner Verlag, 2004
H. Clausert, G. Wiesemann "Grundgebiete der Elektrotechnik 2", Oldenbourg, 1993.Otto Föllinger "Laplace-, Fourier- und z-Transformation", Hüthig, 2003.
[u]Exercises:[/u]
Hwei Hsu "Signals and Systems", Schaums Outlines, 1995
Voraussetzungen
Elektrotechnik und Informationstechnik I und Elektrotechnik und Informationstechnik II
- Lehrende: Anja Klein
- Lehrende: Marius Pesavento
- Lehrende: Maximilian Wirth
Semester: Inverno 2021/22