Yang Zheng, Cheng Yongqiang, Wu Hao
College of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, China.
Entropy (Basel). 2020 Jul 9;22(7):756. doi: 10.3390/e22070756.
In radar target detection, constant false alarm rate (CFAR), which stands for the adaptive threshold adjustment with variation of clutter to maintain the constant probability of false alarm during the detection, plays an important role. Matrix CFAR detection performed on the manifold of Hermitian positive-definite (HPD) covariance matrices is an efficient detection method that is based on information geometry. However, the HPD covariance matrix, which is constructed by a small bunch of pulses, describes the correlations among received data and suffers from severe information redundancy that limits the improvement of detection performance. This paper proposes a Principal Component Analysis (PCA) based matrix CFAR detection method for dealing with the point target detection problems in clutter. The proposed method can not only reduce dimensionality of HPD covariance matrix, but also reduce the redundant information and enhance the distinguishability between target and clutter. We first apply PCA to the cell under test, and construct a transformation matrix to map higher-dimensional matrix space to a lower-dimensional matrix space. Subsequently, the corresponding detection statistics and detection decision on matrix manifold are derived. Meanwhile, the corresponding signal-to-clutter ratio (SCR) is improved. Finally, the simulation experiment and real sea clutter data experiment show that the proposed method can achieve a better detection performance.
在雷达目标检测中,恒虚警率(CFAR)起着重要作用,它意味着随着杂波变化进行自适应阈值调整,以在检测过程中保持恒定的虚警概率。在埃尔米特正定(HPD)协方差矩阵流形上执行的矩阵CFAR检测是一种基于信息几何的有效检测方法。然而,由一小串脉冲构建的HPD协方差矩阵描述了接收数据之间的相关性,并且存在严重的信息冗余,这限制了检测性能的提高。本文提出了一种基于主成分分析(PCA)的矩阵CFAR检测方法,用于处理杂波中的点目标检测问题。该方法不仅可以降低HPD协方差矩阵的维度,还可以减少冗余信息,增强目标与杂波之间的可区分性。我们首先将PCA应用于待测单元,构建一个变换矩阵,将高维矩阵空间映射到低维矩阵空间。随后,推导了矩阵流形上相应的检测统计量和检测决策。同时,相应的信杂比(SCR)得到了提高。最后,仿真实验和实际海杂波数据实验表明,该方法能够实现更好的检测性能。