Improved EMD Using Doubly-Iterative Sifting and High Order Spline Interpolation

Improved EMD Using Doubly-Iterative Sifting and High Order Spline Interpolation

Signature Analysis Based on Improved EMD with High-order Spline Interpolation

Empirical mode decomposition (EMD) is proved to be an effective tool for the nonlinear and non-stationary signals. Many researchers have studied the application of EMD in a variety of fields. But few in-depth studies are related to the improvement of EMD. A new signal analysis approach based on improved EMD method is introduced in this paper. Firstly, the basic principle of EMD is introduced. T...

A Reinterpretation of EMD by cubic spline interpolation

Empirical mode decomposition (EMD) is a data-driven technique that decomposes a signal into several zero-mean oscillatory waveforms according to the levels of oscillation. Most of the studies on EMD have focused on its use as an empirical tool. Recently, Rilling and Flandrin [2008] studied theoretical aspects of EMD with extensive simulations, which allow a better understanding of the method. H...

SOLVING INTEGRO-DIFFERENTIAL EQUATION BY USING B- SPLINE INTERPOLATION

In this paper a numerical technique based on the B-spline method is presented for the solution of Fredholm integro-differential equations. To illustrate the efficiency of the method some examples are introduced and the results are compared with the exact solution.  

An improved order of approximation for thin-plate spline interpolation in the unit disc

We show that the Lp-norm of the error in thin-plate spline interpolation in the unit disc decays like O(h p), where p := minf2; 1 + 2=pg, under the assumptions that the function to be approximated is C1 and that the interpolation points contain the nite grid fhj : j 2Z; jhjj < 1 hg.