基于QR分解的广义辨别分析用于雷达目标识别

提出了一种基于QR分解的广义辨别分析算法,并将其用于雷达目标一维距离像识别.与传统用奇异值分解获取目标特征子空间的方式不同,新算法运用核修正格兰-施密特正交化过程直接提取最优投影变换矩阵,不仅有效地地保留了类内散度矩阵最具辨别力的零空间信息,同时使所求解在数值上更稳定.对3种实测飞机数据的分类结果表明,所提方法不仅在识别性能上优于传统方法,而且在一定程度上降低了算法的计算复杂度,提高了系统的实时性能.

RADAR TARGET RECOGNITION BASED ON GENERALIZED DISCRIMINANT ANALYSIS OF QR DECOMPOSITION

A new generalized discriminant analysis(GDA) method based on QR decomposition was proposed,which would be used in radar target recognition with one-dimensional range profile.Different from the traditional approach of solving GDA by singular value decomposition(SVD),the new algorithm utilizes kernel modified Gram-Schmidt(KMGS) orthogonalization algorithm to extract the optimal transformation matrix directly,which can not only effectively hold the most discriminant information in the null space of within-class scatter matrix,but also make the solution more stable in numeric.Experiments on three measured airplains data show that the proposed method achieves better recognition performance than traditional GDA,while it has lower costs in computation partly,thereby,the real-time performance is improved.