基于矩阵信息几何的飞机尾流目标检测方法

Radar Target Detection Method of Aircraft Wake Vortices Based on Matrix Information Geometry

矩阵信息几何在雷达信号处理和目标检测中的应用是一个正在引起关注的研究方向。飞机尾流回波经过傅里叶变换后,其功率谱是展宽的,传统动目标检测(MTD)方法未能对展宽的功率谱进行有效积累。针对飞机尾流目标检测问题,基于矩阵信息几何理论,该文提出了一种矩阵恒虚警率(CFAR)检测方法,该方法中观测数据协方差矩阵构成一个矩阵流形,类比CFAR检测的思想,利用检测单元协方差矩阵与参考单元协方差矩阵均值间定义的距离作为检测统计量。最后利用噪声中仿真的尾流回波数据,分析了黎曼均值的迭代估计性能、尾流目标协方差矩阵与噪声协方差矩阵的测地线距离随信噪比的变化,比较了常规MTD检测方法和矩阵CFAR检测方法的检测性能。

The application of matrix information geometry to radar signal processing and target detection is a new and interesting subject. Wake vortices are Doppler-spread after Fourier transform. The traditional Moving Target Detection（MTD） method cannot adequately accumulate returns power of the whole spectrum. Based on matrix information geometry, a matrix Constant False Alarm Rate（CFAR） detection method is proposed to improve the detection performance of a weak wake target. In this method, covariance matrices of the observed data can be constructed into a matrix manifold; compared with CFAR detection, the geodesic distance between the covariance matrix in the detection cell and the mean of covariance matrices in the secondary cell is regarded as the detection statistics. Using simulated wake vortices, the return data in background noise and the iterative estimation performance of Riemannian mean are analyzed; the geodesic distance of covariance matrices of target return and noise with varying signal-noise rate is analyzed; and the detection performance of the matrix CFAR and the conventional MTD method is compared.