Abstract:

Aiming at the problem that the performance of under determined direction of arrival (DOA) estimation method based on coprime array decreases sharply under the condition of array element gain and phase error, a coprime array DOA estimation method based on correction array element is proposed. Firstly, the received data of the array is decomposed into two sub array data, the gain and phase error of the sub array are estimated based on the correction array elements, and the gain and phase error of the sub array are sorted and reorganized. Then, the error of the received data covariance matrix is compensated and extended to a high-dimensional Toeplitz matrix. Finally, the high-dimensional covariance matrix is filled with holes based on the matrix filling theory, and the root multiple signal classification (root-MUSIC) algorithm is used for DOA estimation. Theoretical analysis and simulation results show that this method can realize the gain and phase error estimation of Coprime array, effectively recover the DOA estimation performance of Coprime array under the condition of gain and phase error through error compensation, and improve the estimation accuracy.

Key words: direction of arrival (DOA), coprime array, gain and phase error, correction array element, error compensation