Syllabus
The goal of the course will be to introduce all the key concepts of time frequency analysis, in particular of what is called Gabor Analysis (a kind of discretization of the time-frequency plane, also called phase-space).
The starting point will be linear algebra and polynomials as an important special case. The participants will gain access to the NuHAG based MATLAB toolbox and also learn about the key features of the so-called LTFAT toolbox (Large Time-Frequency Toolbox) hosted by ARI (Acoustic Research Institute, Vienna).
Question of time-frequency analysis over finite Abelian groups are related to problems in digital signal processing. For the one-dimensional we are concerned with audio signals, for the two-dimensional case it is about digital image analysis. The course will lead up to ideas about time-variant (resp. space-variant) filtering or the principles of mobile communication, viewed from a linear algebra point-of-view.
Annotation
An exceptional elective course (povinně volitelný) intended for lectures that takes place just once.