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
Presentation of exercises at blackboard and presentation of projects
Language
English
Changing subject?
No
Earlier variants
They also cover the requirements of the curriculum (from - to) 403MMIEWFAU22: UE Wavelets – Functional Analytical Basics (2022W-2023S)