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This entry is from Winter semester 2021/22 and might be obsolete. No current equivalent could be found.

Finite Frames
(dt. Endliche Frames)

Level, degree of commitment Specialization module, compulsory elective module
Forms of teaching and learning,
workload		 Lecture (3 SWS), recitation class (1 SWS),
180 hours (60 h attendance, 120 h private study)
Credit points,
formal requirements		 6 CP
Course requirement(s): Successful completion of at least 50 percent of the points from the weekly exercises.
Examination type: Written examination
Language,
Grading		 German,
The grading is done with 0 to 15 points according to the examination regulations for the degree program M.Sc. Mathematics.
Duration,
frequency		 One semester,
Ca. alle 2 Jahre
Person in charge of the module's outline N.N.

Contents

Basics of frame theory, especially on finite dimensional Hilbert spaces. Discussion of numerical and analytical questions on equiangular frames, phase retrieval, compressive sensing, time-frequency analysis with Gabor frames. Connections to quantum information theory are made.


Qualification Goals

The students shall

  • understand the mathematical / numerical aspects of frame theory,
  • learn to formulate problems from signal processing in the language of frame theory,
  • learn to solve analytical and numerical problems in frame theory,
  • to understand in an exemplary way how concrete practical developments influence the questions of applied mathematics,
  • practice mathematical working methods (development of mathematical intuition and its formal justification, training of the ability to abstract, proof techniques).

Prerequisites

None. The competences taught in the following modules are recommended: Linear Algebra I, Linear Algebra II, Analysis I.


Applicability

Module imported from M.Sc. Mathematics.

It can be attended at FB12 in study program(s)

  • B.Sc. Mathematics
  • B.Sc. Business Mathematics
  • M.Sc. Data Science
  • M.Sc. Mathematics
  • M.Sc. Business Mathematics

When studying M.Sc. Data Science, this module can be attended in the study area Advanced and Specialization Modules in Mathematics.

The module is assigned to the focus area Scientific Computing. Further information on eligibility can be found in the description of the study area.


Recommended Reading

(not specified)



Please note:

This page describes a module according to the latest valid module guide in Winter semester 2021/22. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:

The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.

The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.