Algorithm 2: Dual-threshold mask OMP based on ICA (DTM_OMP_ICA)

Input: $X\_Noise$

Output: $Reconstructed X\_Clear$

1 Initialization $K=0, M=0, N=len(X\_Noise)$;

2 do

3      Step 1:  $K=OutLine\_Extra(X\_Noise)$;

4      Step 2:  $M=K\times log(N/K)$;

5      Step 3:  $\psi =\frac{1}{\sqrt{N}}\times FFT\left(I\right)$;

6      path1 do

7          Step 1:  ${\phi }_{RGM}=Orth\left(rand\right(M,N\left)\right)$;

8          Step 2:  $y_{RGM}={\phi }_{RGM}\times X\_Noise$; $A_{RGM}={\phi }_{RGM}\times \psi$;

9          Step 3:  ${\theta }_{RGM}=OMP(A_{RGM},y_{RGM},K)$;

10     end path1

11     path2 do

12          Step 1:  ${\phi }_{SRM}=SparseRandomMtx(M,N,d=4)$;

13          Step 2:  $y_{SRM}={\phi }_{SRM}\times X\_Noise$; $A_{SRM}={\phi }_{SRM}\times \psi$;

14          Step 3:  ${\theta }_{SRM}=OMP(A_{SRM},y_{SRM},K)$;

15    end path2

16      Step 4:  ${\theta }_1=corr\left(FastICA\right({\theta }_{RMG},{\theta }_{SRM}\left)\right)$;

17      Step 5:  $Reconstructed\_X={\psi }^T\times {{\theta }_1}^T$;

18      Step 6:  $Mask=MeanMask\left(FFT\right(Reconstructed\_X\left)\right)$;

19      Step 7:  $FX=dot\left(FFT\right(X\_Noise), Mask)$;

20      Step 8:  $Reconstructed X\_Clear=iFFT\left(FX\right)$;

21 end