A method for joint angle and array gain‐phase error estimation in Bistatic multiple‐input multiple‐output non‐linear arrays

The issue of joint angle and array gain‐phase error estimation for a bistatic multiple‐input multiple‐output array is discussed in this study, and an algorithm for the joint estimation with non‐linear arrays is proposed. First, the estimations of the transmit and receive direction matrices can be obtained via trilinear decomposition, then the relationship between the columns of the direction matrices is utilised to eliminate the influence of the gain‐phase errors, and the angles can be estimated two by two via least squares. Finally, the array gain‐phase error vectors can be estimated for calibration according to the estimated angles and direction matrices. The proposed algorithm requires no eigenvalue decomposition of the received data, and can achieve automatically paired estimations of the angles. Furthermore, no information of the gain‐phase error is needed. The simulation results verify the algorithmic effectiveness of the proposed algorithm.