Optimal Closed-Form Solution to Array Error Matrix Based on Eigenvector

The combined effects of mutual coupling and amplitude-phase errors have negative impact on the direction-finding performance of the MUSIC algorithm.In this work,we calibrate array errors induced by the mutual coupling effect and amplitude-phase errors.Three algorithms are presented,which have the same computational mode and theoretical framework,and provide optimal closed-form solutions to the array error matrix based on the eigenvector of the Hermite matrix corresponding to the smallest eigenvalue.The first algorithm does not make use of any property of the array error matrix,the second uses sparseness of the array error matrix,and the third makes fully use of the special structure of the array error matrix for some regular arrays.Performances of parameter estimation of the three algorithms are compared by simulation.The results show.that the calibration precision of array error matrix can be improved if the algorithm uses more special properties of the array error matrix.