Adaptive Channel Estimation for Underwater Acoustic OFDM System in Impulsive Noise Environment

Algorithm 2

The proposed JTF-OMP algorithm.

1: Initialize the resolution related parameters and ,

2: the maximum values and ;

3: Input the received signal , transmitted pilots , previous estimation ,

4: the number of groups and decision indexes , ;

5: Initialize the vectors , , and coefficient ;

6:

7: Extract and from and , respectively; Set ;

8: Use (29) to calculate ; Set , ;

9: Initialize the iteration number , residual vector ,

10: the atomic index set and estimated channel vector ;

11: 

12:  Find the optimal index ;

13:  Update the index set ;

14:  Set , consisting of columns of indexed by ;

15:  Compute ;

16:  Update the residual vector ; ;

17:  

18:  

19:   ;

20:

21: ;

22: ;

23: return ;