一种基于酉变换的均匀线阵DOA估计方法

DOA Estimation Method for Uniform Linear Array Based on Unitary Transform

针对利用传统多信号分类算法(Multiple Signal Classification,MUSIC)求解信号来波方向时,运算复杂且在有限快拍的情况下接收信号的协方差矩阵并非厄米特矩阵的问题,提出了基于酉变换和前后项平均的DOA(Direction of Arrival,DOA)估计算法。利用前后项平均生成协方差矩阵在欧氏距离内最小的厄米特矩阵,对生成的厄米特矩阵进行酉变换,将复数域的运算转变为实数域运算。有效地降低了算法的复杂度,提高了分辨性能,仿真实验验证了该算法的有效性。

To solve the problem that the traditional multiple signal classification algorithm is complex to calculate the direction of arrival of the signal and the covariance matrix of the received signal is not hermitian matrix matrix under the condition of limited snapshots,a DOA estimation algorithm based on unitary transformation and anteroposterior average is proposed.The algorithm generates the minimum hermitian matrix matrix of the covariance matrix in the Euclidean distance by using the averaging method of the preceding and the following terms.Then the generated hermitian matrix is unitary transformed,and the operation in the complex domain is transformed into the real domain.The algorithm effectively reduces the complexity of the algorithm and improves the resolution performance of the algorithm.The simulation experiment verifies the correctness of the algorithm.