Robust Array Diagnosis Against Array Mismatch Using Amplitude-Only Far Field Data

This paper presents an array diagnosis method using amplitude-only far-field data robust against array mismatch. The considered array mismatch includes frequency shifting error and element position error. The erroneous array manifold is approximated by its first-order Taylor series expansion. To restore the actual array excitation, a convex optimization problem minimizing the
$\ell _{2}$
-norm of the array excitation vector based on Gaussian probability distribution is formulated. Besides, the prior knowledge on ideal array excitation and array mismatch are utilized to facilitate array excitation restoration. The alternating direction method of multipliers which performs well with the large-scale data is applied to solve the proposed optimization problem. Computer simulations are conducted to verify the validity and superiority of the proposed method. It is shown that in the presence of array mismatch, the proposed method provides better accuracy of the restored array excitation and smaller diagnosis error rate than the method which does not consider array mismatch. Furthermore, results using experimental data are also included to verify the validity of the proposed method.