高斯色噪声下混合信号二维DOA估计方法

Two-dimensional DOA estimation method for mixed signals under Gaussian color noise

针对色高斯噪声环境下混合信号二维波达方向(two-dimensional direction of arrival,2D-DOA)估计问题,提出四阶累积量与斜投影算子相结合的混合信号波达方向(direction of arrival,DOA)估计算法。首先利用接收数据构造四阶累积量矩阵切片替代传统协方差矩阵来抑制高斯色噪声,并通过传播算子方法(propagator method,PM)估计非相干信号的仰角与方位角。然后采用正交三角(orthogonal triangular,QR)分解构造特定的斜投影算子,使接收信号中仅包含相干信号信息。将矩阵重构与PM相结合来解相干并估计相干信号的仰角与方位角。可以实现高斯色噪声背景下混合信号的2D-DOA估计,且估计信号的方位角和仰角能够实现自动配对,仿真实验证明了算法的有效性。

To achieve the two-dimensional direction of arrival (2D-DOA) estimation of mixed signals with colored Gaussian noise, an algorithm based on fourth-order cumulant and oblique projection operator is proposed. Firstly, with the received data the algorithm constructs a fourth-order cumulant matrix slice instead of the traditional covariance matrix to suppress Gaussian color noise, and estimates the elevation and azimuth of the incoherent signal through propagator method (PM). Then a specific oblique projection operator based on orthogonal triangular (QR) decomposition is constructed, so that the received signal only contains the information of coherent signals. Finally, the elevation and azimuth of coherent signals are estimated through the combination of matrix reconstruction and PM. The algorithm can realize the 2D-DOA estimation of mixed signals in the presence of Gaussian colored noise with the estimated elevation and azimuth of the signals paired automatically. Simulations demonstrate the effectiveness of the algorithm.