DE

Modul

Wavelets [M-MATH-102895]

Credits
8
Recurrence
Unregelmäßig
Duration
1 Semester
Language
Level
4
Version
1

Responsible

Organisation

  • KIT-Fakultät für Mathematik

Part of

Bricks

Identifier Name LP
T-MATH-105838 Wavelets 8

Competence Certificate

Success is assessed in the form of an oral examination lasting approx. 30 minutes.

Competence Goal

Graduates are able 

  • to name, discuss and analyze the functional-analytical principles of continuous and discrete wavelet transforms,
  • to apply the wavelet transform as an analysis tool in signal and image processing and evaluate the results obtained,
  • to explain design aspects for wavelet systems.

Prerequisites

none

Content

  • Short-time Fourier transform
  • Integral  wavelet transform
  • Wavelet frames
  • Wavelet basis
  • Fast wavelet transform
  • Construction of orthogonal and bi-orthogonal wavelet systems
  • Applications in signal and image processing

Recommendation

The course "Functional analysis" is recommended.

Workload

Total workload: 240 hours

Attendance: 90 hours

  • lectures, problem classes, and examination 

Self-studies: 150 hours

  • follow-up and deepening of the course content,
  • work on problem sheets,
  • literature study and internet research relating to the course content,
  • preparation for the module examination