The students extract from Fourier- or wavelet transform (or Fourier- and Wavelet series decompositions) of a time series information from the time-frequency behavior of the function. Using the discrete Wavelet Transform they can compress data.
Skills
Knowledge
Compute the Fourier/ windowed Fourier/Wavelet Transform of a function
decompose and reconstruct a function with respect to a frame
decompose/reconstruct a function with respect to a orthogonal wavelet basis
Signal- and image compression using the discrete wavelet transform
none
Criteria for evaluation
Oral exam
Methods
Blackbord presentation
Language
English
Changing subject?
No
Further information
Lecture notes;
Ten Lectures on Wavelets by Ingrid Daubechies;
Wavelets by Louis, Maass, Rieder.
Earlier variants
They also cover the requirements of the curriculum (from - to) 403MMIEWFAV22: VL Wavelets – Functional Analytical Basics (2022W-2023S)
