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基于一致聚焦和Khatri-Rao子空间的思想,提出了一种新的互耦条件下宽带信号DOA估计算法。首先,通过在阵列两端设置辅助阵元来补偿各个频率处的互耦效应;接着,对补偿后的协方差矩阵进行一致聚焦操作,并重排成一个高维矩阵;最后,通过搜索Khatri-Rao子空间谱估计出宽带信号的DOA。算法适用于互耦未知的场合,对宽带信号频率谱是否平坦没有要求,且在互耦自由度较小时能够分辨多于阵元数的宽带信号。计算机仿真结果证明了算法的有效性。
Based on the idea of uniform focusing and Khatri-Rao subspace, a new DOA estimation algorithm for wideband signal is proposed. First, the mutual coupling effect at each frequency is compensated by arranging auxiliary elements at both ends of the array. Then, the covariance matrix is uniformly focused and rearranged into a high-dimensional matrix. Finally, by searching the Khatri-Rao Subspace spectrum estimates the DOA of wideband signals. The algorithm is suitable for applications where the mutual coupling is unknown, and there is no requirement for whether the frequency spectrum of the broadband signal is flat or not, and the broadband signal can be resolved more than the number of the array elements when the degree of mutual coupling is small. Computer simulation results prove the effectiveness of the algorithm.