The paper deals with the auto-calibration problem for the gain and phase errors oflinear equi-spaced array. Based on the Teoplitz structure of the ideal covariance matrix

linear equations of phase and gain errors are established

and by making use of the least square criterion andthe splitting approachois adopted. Under two different hypotheses of perturbation of the systemand the number of the sensors of the array

several criterions are formed

and the statistical analysis is provided for these constraint conditions. Finally

the generalized eigen-decomposition autocalibration method is presented.