Lehrinhalte
Fourier Series: Motivation; Fourier series with real coefficients; Fourier series with complex coefficients;examples and applications
Fourier Transform: Motivation - Derviation from Fourier series - Dirichlet conditions - delta function - step function - properties of F-transform - special cases - examples and applications - transmissions systems- expansion into partial fractions
Convolution: Time invariant systems - convolution in frequency domain- 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 - rules - general differentiation - linear passive electrical networks - equivalent circuits for passive electrical elements - examples and applications
z-Transform: motivation - sampling - numerical order - definition - examples - transfer function - sampling theorem - examples and applications
Discrete Fourier Transform: motivation, derivation sampling, examples and applications
Literatur
A script of the lecture or slides respectively, will be provided in electronic form. Basic Literature:
[list]
[*]Wolfgang Preuss, "Funktionaltransformationen", Carl Hanser Verlag, 2002
[*]Klaus-Eberhard Krueger "Transformationen", Vieweg Verlag, 2002
[*]H. Clausert, G. Wiesemann "Grundgebiete der Elektrotechnik 2", Oldenbourg, 1993
[*]Otto Föllinger "Laplace-, Fourier- und z-Transformation", Hüthig, 2003
[*]T. Frey, M. Bossert, Signal- und Systemtheorie, Teubner Verlag, 2004
[/list]
Further Literature:
[list]
[*]Dieter Mueller-Wichards "Transformationen und Signale", Teubner Verlag, 1999
[/list]
Exercises:
[list]
[*]Hwei Hsu "Signals and Systems", Schaums Outlines, 1995
[*]Bernhard Rieß, "Übungsbuch Signale und Systeme", Springer Nature 2018
[/list]
Voraussetzungen
Elektrotechnik und Informationstechnik I und Elektrotechnik und Informationstechnik II
Fourier Series: Motivation; Fourier series with real coefficients; Fourier series with complex coefficients;examples and applications
Fourier Transform: Motivation - Derviation from Fourier series - Dirichlet conditions - delta function - step function - properties of F-transform - special cases - examples and applications - transmissions systems- expansion into partial fractions
Convolution: Time invariant systems - convolution in frequency domain- 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 - rules - general differentiation - linear passive electrical networks - equivalent circuits for passive electrical elements - examples and applications
z-Transform: motivation - sampling - numerical order - definition - examples - transfer function - sampling theorem - examples and applications
Discrete Fourier Transform: motivation, derivation sampling, examples and applications
Literatur
A script of the lecture or slides respectively, will be provided in electronic form. Basic Literature:
[list]
[*]Wolfgang Preuss, "Funktionaltransformationen", Carl Hanser Verlag, 2002
[*]Klaus-Eberhard Krueger "Transformationen", Vieweg Verlag, 2002
[*]H. Clausert, G. Wiesemann "Grundgebiete der Elektrotechnik 2", Oldenbourg, 1993
[*]Otto Föllinger "Laplace-, Fourier- und z-Transformation", Hüthig, 2003
[*]T. Frey, M. Bossert, Signal- und Systemtheorie, Teubner Verlag, 2004
[/list]
Further Literature:
[list]
[*]Dieter Mueller-Wichards "Transformationen und Signale", Teubner Verlag, 1999
[/list]
Exercises:
[list]
[*]Hwei Hsu "Signals and Systems", Schaums Outlines, 1995
[*]Bernhard Rieß, "Übungsbuch Signale und Systeme", Springer Nature 2018
[/list]
Voraussetzungen
Elektrotechnik und Informationstechnik I und Elektrotechnik und Informationstechnik II
- Lehrende: Anja Klein
- Lehrende: Tobias Mahn
- Lehrende: Marius Pesavento
Semester: WT 2019/20