基于修正Hung-Turner投影的快速信源数检测算法

空间信源数检测是阵列信号处理的关键问题之一，常用的信源数检测算法需要计算采样协方差矩阵的特征值，该文提出一种基于改进Hung-Turner投影的多目标信源数快速检测算法，该算法根据采样协方差矩阵估计误差的渐进分布特性确定一个判断门限，利用该门限实现GS正交化次数的自动确定，从而完成对信源数的检测。该算法无需对采样协方差矩阵的特征值分解运算，计算复杂度低，检测性能好，计算机仿真证明了算法的正确性和有效性。

Fast Detection Algorithm for the Number of Signal Sources Based on Modified Hung-Turner Projection

Detection of the number of spatial signals is one of the key issues in array signal processing community. Most of the existing methods for detection of the number of signal sources require the eigenvalues of the sample covariance matrix. In this paper, a Fast Detection Method via Modified Hung-Turner Projection (FDM-MHTP) is proposed to dectect the number of multiple emitters, where a threshold is derived exploiting the asymptotic distribution properties of the estimation errors of the sample covariance matrix. The threshold is utilized to detect the number of signal sources in conjunction with performing Gram-Schmidt(GS) orthogonalization. Without eigenvalue decomposition, the algorithm has good detection performance and low computation complexity. Computer simulation shows the correctness and efficiency of the algorithm.