Empirical wavelet transform
Functional Analysis
2024-11-01 v1 Signal Processing
Abstract
Some recent methods, like the Empirical Mode Decomposition (EMD), propose to decompose a signal accordingly to its contained information. Even though its adaptability seems useful for many applications, the main issue with this approach is its lack of theory. This paper presents a new approach to build adaptive wavelets. The main idea is to extract the different modes of a signal by designing an appropriate wavelet filter bank. This construction leads us to a new wavelet transform, called the empirical wavelet transform. Many experiments are presented showing the usefulness of this method compared to the classic EMD.
Cite
@article{arxiv.2410.23534,
title = {Empirical wavelet transform},
author = {Jerome Gilles},
journal= {arXiv preprint arXiv:2410.23534},
year = {2024}
}