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Hilbert-Huang (or Huang-Hilbert) transform: Mathematical foundations

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09-19-2006, 02:50 PM

nfaust

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Hilbert-Huang (or Huang-Hilbert) transform: Mathematical foundations

Hi!

As we know, the Hilbert-Huang transform is a powerfull tool in analysin
signals.
Nevertheless, some mathematical foundations concerning the Huang'
algorithm are needed if we want to know things like atomic decomposition
and N best-approximation theorems like Jackson type inequalities.

Do someone try some connections with other subjects like evolutionar
PDE's, Chirplet transform and/or Nonlinear Fourier transform?

Thanks a lot

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