Universität Wien
Course Exam

250130 VO Gabor Analysis: From Linear Algebra to Computational Harmonic Analysis (2021W)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik
MIXED

Wednesday 10.08.2022

Examiners

Information

Examination topics

The concrete list of questions will be provided during the course. There will be course notes and the material required to pass will be summarized. As it is a complementary course it will be possible to individually adapt the material (for example, the course could be interesting to new-comers to the field, or those who have already taken the course with Markus Faulhuber last semester, or taking the parallel course with Peter Balazs on FRAMES this semester).

Assessment and permitted materials

There are two components:
1) oral examination on the foundations and background of Gabor analysis and time-frequency analysis in the finite dimensional setting
2) either written reports on a circle of problems, or a collection of M-files (a small, self-contained demonstration package), complementary to the routines made available.

The so-called Life-Script for MATLAB is the ideal way to provide both (running MATLAB code plus LATEX output, including figures and so on).

Minimum requirements and assessment criteria

In order to pass the candidates have to demonstrate that they have understood the basic principles of the course, meaning the foundations coming from linear algebra (e.g. pseudo-inverse of a matrix, symmetric orthogonalization based on the SVD, and so on) and the (mostly algebraic) rules governing Gabor analysis, which are also the basis for the most efficient algorithms.

Last modified: Th 11.08.2022 12:48