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

作者：Tsakalozos Nikolaos; Drakakis Konstantinos^*; Rickard Scott

来源：Signal Processing, 2012, 92(9): 1961-1969.

DOI：10.1016/j.sigpro.2011.09.014

• Empirical Mode Decomposition (EMD)
• Intrinsic Mode Functions (IMFs)
• Envelope
• Consistency
• Nonlinearity

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.

• 出版日期2012-9