In this work, we present a new method for the direction-of-arrival (DOA) estimation of coherent sources using the symmetric uniform linear array (ULA) without prior source number information. The proposed method constructs a new cost function based on the joint diagonalization structure of the Toeplitz matrix. The estimation of DOAs is made by developing a new spatial spectrum via a 1-D search. Furthermore, we exploit the Nystrom method to diminish the computational complexity of the proposed method. The efficacy of the new estimator is theoretically investigated and the complexity of the computation is also addressed. To examine the efficacy of the proposed method, various experiments are conducted and comparisons with the recent methods are carried out.

在这项工作中，我们提出了一种使用对称均匀线性阵列（ULA）而不需要先验源编号信息的相干源到达方向（DOA）估计的新方法。该方法基于Toeplitz矩阵的联合对角化结构构造了一个新的成本函数。DOA的估算是通过一维搜索开发新的空间光谱来进行的。此外，我们利用Nystrom方法来减少所提出方法的计算复杂度。理论上研究了新估计器的功效，并解决了计算的复杂性。为了检查该方法的有效性，进行了各种实验，并与最新方法进行了比较。