基于酉变换的虚拟阵列DOA估计算法

A virtual array method for direction of arrival estimation based on unitary transformation

摘要:

为了估计相干信源的波动方向,提出基于酉变换的虚拟阵列DOA估计算法．该算法通过阵列虚拟平移形成虚拟阵列对相干信号进行解相干,并利用酉变换将虚拟阵列接收数据的协方差矩阵从复数域变换到实数域,然后利用该实数矩阵进行波达方向估计．计算机仿真表明算法在低信噪比情况下具有很好的解相干特性和估计性能．该算法避免了阵列孔径损失,可在小采样拍数情况下实现相干信源的DOA估计,且运算在实数域进行,大大降低了运算复杂度．

Abstract:

To estimate direction of arrival for the coherent signals, a virtual array method for direction of arrival estimation based on unitary transformation is proposed. In this approach, the covariance matrix, which is obtained from virtual array, is reconstructed by utilizing a unitary transformation matrix. The simulation results verify that the proposed method has high performance of decorrelation and estimation. The proposed method can decorrelate the coherent sources without a lot of snapshots and a reduction in array aperture. All of matrix computation are in realvalued space, thus, the computation complexity is very low.