Algorithm 1: EMD

Input:   The original signal $x$.

Output:  Several IMF and a residue, i.e., $IM{F}_i,\left(i=1,2,\dots ,n\right)$ and $r$.

1: function EMD ($x$, $ResidueThreshold$, $S_{DT}$)

2:  IMF$\leftarrow$0

3:  i$\leftarrow$0

4:   N $\leftarrow length\left(x\right)$

5:  residue $\leftarrow \infty$

6:  while residue> $ResidueThreshold$ do

7:   i$\leftarrow$i+1

8:   $x_i\leftarrow x-{{\displaystyle \sum }}_{i}IM{F}_i$

9:    $S_D\leftarrow \infty$

10:   while $S_D>S_{DT}$ do

11:    for j = 1$\to$j = N do

12:     [$LocalMa{x}_{ij}$, $IndMa{x}_{ij}$] $\leftarrow \max \left(x_i\right)$

13:     [$LocalMi{n}_{ij}$, $IndMi{n}_{ij}$] $\leftarrow \min \left(x_i\right)$

14:    end for

15:   $UpperEn{v}_i\leftarrow spline\left(IndMa{x}_i,LocalMa{x}_i,1:length\left(x_i\right)\right)$

16:   $LowerEn{v}_i\leftarrow spline\left(IndMi{n}_i,LocalMi{n}_i,1:length\left(x_i\right)\right)$

17:   $LocalMeanEn{v}_i\leftarrow \left(UpperEn{v}_i+LowerEn{v}_i\right)/2$

18:   $x_i\leftarrow x_i-LocalMeanEn{v}_i$

19:   $S_D\leftarrow \sum \left. [\frac{{\left(xTemp-x_i\right)}^2}{xTem{p}^2}\right]$

20:   end while

21:   $IM{F}_i\leftarrow x_i$

22:  residue $\leftarrow mean\left(x-{{\displaystyle \sum }}_{i}IM{F}_i\right)$

23:  end while

24:  return IMF and residue

25: end function