The State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Science, Beijing 100190, China.
Sensors (Basel). 2013 Mar 28;13(4):4272-88. doi: 10.3390/s130404272.
A unitary transformation-based algorithm is proposed for two-dimensional (2-D) direction-of-arrival (DOA) estimation of coherent signals. The problem is solved by reorganizing the covariance matrix into a block Hankel one for decorrelation first and then reconstructing a new matrix to facilitate the unitary transformation. By multiplying unitary matrices, eigenvalue decomposition and singular value decomposition are both transformed into real-valued, so that the computational complexity can be reduced significantly. In addition, a fast and computationally attractive realization of the 2-D unitary transformation is given by making a Kronecker product of the 1-D matrices. Compared with the existing 2-D algorithms, our scheme is more efficient in computation and less restrictive on the array geometry. The processing of the received data matrix before unitary transformation combines the estimation of signal parameters via rotational invariance techniques (ESPRIT)-Like method and the forward-backward averaging, which can decorrelate the impinging signalsmore thoroughly. Simulation results and computational order analysis are presented to verify the validity and effectiveness of the proposed algorithm.
提出了一种基于酉变换的二维（2-D）相干信号到达角（DOA）估计方法。该方法通过将协方差矩阵重新组织成块汉克尔矩阵进行解相关，然后重构一个新的矩阵，以方便酉变换。通过乘法酉矩阵，特征值分解和奇异值分解都转化为实值，从而可以大大降低计算复杂度。此外，通过对 1-D 矩阵进行克罗内克积，给出了一种快速且具有吸引力的二维酉变换实现。与现有的二维算法相比，我们的方案在计算上更高效，对阵列几何形状的限制更小。在进行酉变换之前，对接收数据矩阵的处理结合了通过旋转不变技术（ESPRIT 类似方法）和前后向平均进行信号参数估计，这可以更彻底地去相关入射信号。给出了仿真结果和计算阶分析，以验证所提出算法的有效性和有效性。
