A formal study of the nonlinearity and consistency of the Empirical Mode Decomposition

نویسندگان

  • Nikolaos Tsakalozos
  • Konstantinos Drakakis
  • Scott T. Rickard
چکیده

Towards developing a rigorous mathematical theory for Empirical Mode Decomposition (EMD), we provide an overview of the algorithm and introduce a corresponding operator, attempting a preliminary study. We prove that the EMD is nonlinear, we identify the major reason of its nonlinearity, and we introduce the related concept of consistency, which we show the EMD does not satisfy either. & 2012 Published by Elsevier B.V.

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عنوان ژورنال:
  • Signal Processing

دوره 92  شماره 

صفحات  -

تاریخ انتشار 2012