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  Multidimensional Signals and Systems (MDSS)

Lecturer
Prof. Dr.-Ing. Rudolf Rabenstein

Details
Vorlesung
4 cred.h, benoteter certificate, ECTS studies
nur Fachstudium, Sprache Englisch
Time and place: Mon 12:15 - 13:45, N 5.17; Thu 14:15 - 15:45, N 5.17

Fields of study
WPF CME-MA 3-4
WPF CE-MA-TA-IT 1-4
WF SIM-MA 1-4
WF IuK-MA 1-4

Contents
Eigenschaften mehrdimensionaler Signale

  • Separabilität, Symmetrie, etc.

2D Signale und Systeme

  • Faltung

  • Delta-Impulse

  • Fourier-Transformation

  • rekursive und nichrekursive Systeme

  • Zustandsraumdarstellung

Wellenausbreitung in 2D und 3D

  • Wellengleichung

  • Fourier-Transformation und Zerlegungen in ebene Wellen und in zirkuläre und sphärische Harmonische

  • Greensche Funktion

  • Kirchhoff-Helmholtz-Integralgleichung

Anwendungen

  • Abbildung durch Lochkamera

  • Prinzip der Computertomographie

  • Subpixel-Rendering

  • Iterative Lösung linearer Gleichungssysteme

  • Raumakustik

  • Schallfeldreproduktion mit Wellenfeldsynthese und Ambisonics

ECTS information:
Contents
Properties of multidimensional signals

  • separability, symmetry, etc.

2D signals and systems

  • convolution

  • delta impulse

  • Fourier transformation

  • FIR and IIR systems

  • state space representation

Wave propagation in 2D and 3D

  • wave equation,

  • Fourier transformation and decomposition into plane waves and

circular and spherical harmonics

  • Green's function

  • Kirchhoff-Helmholtz integral equation

Applications

  • imaging with the pin hole camera model

  • principle of computer tomography

  • subpixel rendering

  • iterative solution of systems of linear equations

  • room acoustics

  • sound field reproduction with wave field synthesis and Ambisonics

Additional information
Expected participants: 30

Verwendung in folgenden UnivIS-Modulen
Startsemester WS 2015/2016:
Multidimensional Signals and Systems (MDSS)

Department: Chair of Multimedia Communications and Signal Processing (Prof. Dr. Kaup)
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