非均匀噪声条件下的互质阵列欠定DOA估计方法

Underdetermined Direction of Arrival Estimation for Coprime Array in the Presence of Nonuniform Noise

针对基于互质阵列的欠定DOA估计方法在非均匀噪声条件下性能下降的问题,该文提出一种基于协方差矩阵重构和矩阵填充的鲁棒DOA估计方法。首先,将接收数据协方差矩阵分解,得到包含非均匀噪声项的对角阵;然后,选取对角线元素中的最小值,替换其余对角线元素,进而得到重构后的数据协方差矩阵;最后,对重构后的协方差矩阵进行扩展和矩阵填充,结合子空间方法进行DOA估计。理论分析和仿真结果表明,相对于现有方法,该文方法有效地抑制了非均匀噪声的影响,有更好的DOA估计性能。

The underdetermined Direction Of Arrival(DOA)estimation method based on the coprime array will degrade in the presence of nonuniform noise.To address this problem,a robust DOA estimation method based on covariance matrix reconstruction and matrix completion is proposed in this paper.Firstly,the covariance matrix of the received data is decomposed to obtain a diagonal matrix containing non-uniform noise terms.Then,the minimum value of the diagonal matrix elements is selected to replace the remaining diagonal matrix elements to obtain the reconstructed data covariance matrix.Finally,based on the matrix completion theory,the reconstructed covariance matrix is extended and filled,and the subspace method is used for DOA estimation.Theoretical analysis and simulation results show that,compared with the existing methods,the proposed method suppresses effectively the influence of nonuniform noise and has better DOA estimation performance.