Empirical Wavelet Transform

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.

• NS
  National Science Foundation

  Awards: 0914856, 1118971, DMS-1118971, DMS-0914856
• WM
  W. M. Keck Foundation
• MU
  Multidisciplinary University Research Initiative
• OO
  Office of Naval Research

  Awards: N0014-09-1, N00014