on the Influence of Sampling on the Empirical Mode Decomposition

Abstract

The rationale underlying the nonlinear empirical mode decomposition method is intrinsically a continuous-time approach. The method can however only be applied in practice to discrete-time signals. EMD is obtained through iterating a basic nonlinear operator for which we derive an upper bound for the effects of sampling. Finally the effects of sampling for a complete EMD are assessed using the knowledge on the basic operator