Covariance Matrix Reconstruction for Direction Finding with Nested Arrays Using Iterative Reweighted Nuclear Norm Minimization

Algorithm 1

Gridless DoA estimation using iteratively reweighted covariance matrix reconstruction.

1: Input: .

2: Initialize: , , , , ,

3: Calculate the sample covariance matrix of NA using

  the observe snapshots ;

4: while do

5:  Update the weight matrix by the equation

6:  Update by the optimization problem (22), (24);

7:  if the convergence condition is satisfied

   then

8:   break

9:  else

10:   , ;

11: end if

12: end while

13: Calculate the covariance matrix ;

14: Using search-free DoA estimation method to estimate the

    angle parameters.