CC-MUSIC: An Optimization Estimator for Mutual Coupling Correction of L-Shaped Nonuniform Array with Single Snapshot

Algorithm 1

CC-MUSIC.

Initialize the virtual L-shaped uniform linear array with the same elements number as the real array, the distance of the

adjacent elements as a random number between 0.01λ to 0.5 λ. We obtain the with (20) and initialize by the estimation

method of the mutual coupling matrix in [6] without auxiliary elements.

For do

  (1) Compute the array data vector of the virtual array by (19).

  (2) Compute the forward-backward smoothing covariance matrix by (23).

  (3) Perform the local optimization for by (51) and the local optimization for by (52).

  (4) If “strong” convergence is achieved by (55), the loop is break and the optimization of the spatial estimation is achieved

    by application of MUSIC algorithm with the covariance matrix obtained by (54). Otherwise, the loop continues.

end for