均匀圆阵相干信源DOA估计的差分算法

摘要

This paper describes a new technique to estimate the direction of arrival (DOA) of coherent signals using a uniform circular array. Such an array may be transformed into a virtual uniform linear array in mode space. By exploiting the property of the virtual uniform linear array, a difference matrix can be constructed, whose rank is only related to the directions of arrival of correlated signals. This method can resolve the uncorrelated sources and coherent sources separately. In this way a conventional algorithm can estimate the DOA of uncorrelated sources, while the proposed algorithm can estimate the DOA of correlated and coherent sources. Thus the output data of the array are used repeatedly, and more sources can be estimated with fewer sensors. The effectiveness of the method is illustrated through a number of numerical examples.%提出了一种新的均匀圆阵解相干算法.在模式空间中,均匀圆阵被转换为一虚拟的均匀线阵.利用该虚拟线阵的特殊阵列模型结构可重构一差分矩阵,使其秩只与相干(或相关)信号的波达方向(DOA)有关.该算法可使得非相干信源与相关(或相干)信源分辨开,且通过利用常规超分辨方法估计不相关源和相关源的空间谱,再利用差分矩阵中包含的相干及相关源信息分辨相关及相干信源,可重复利用阵列接收数据,从而分辨更多信源.仿真结果验证了该算法的有效性.