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arXiv · 2410.23534

Empirical wavelet transform

Jerome Gilles
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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.

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Jerome Gilles. 2024-10-31. Empirical wavelet transform. https://doi.org/10.1109/tsp.2013.2265222

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