基于刚体几何不变性的雷达目标运动路径拟合和三维优化重建方法

对于飞机、船舰等刚体雷达目标，其在运动过程中具有空间几何不变性。利用这一约束条件，可以通过雷达回波中提取出的目标散射点的一维距离史重建出目标的三维形状和运动路径。鉴于现有的基于几何不变性的雷达目标三维重建算法存在鲁棒性差的问题，本文利用雷达目标的运动惰性，对初步重建后得到的目标运动路径进行了拟合，并利用拟合后的运动路径对目标散射点的三维坐标进行了优化重建。文中对重建的误差进行了分析，提出了仿射扰动和欧式重建误差的误差模型。仿真实验证明，经仿射匹配校正后的拟合路径与真实路径基本吻合，从而可以有效获得目标的运动特征；同时，利用本文提出的优化重建方法能够有效抑制目标的欧式重建误差，提高了重建算法的准确性。 

Motion Path Fitting and 3-D Optimal Reconstruction Method of Radar Target Based on Geometry Invariance of Rigid Object

For some rigid targets of radar, such as aircrafts and ships, they hold the properties of geometry invariance during the motions. With this constraint, the 1-D range histories of the scatterers extracted from the radar echo signals can be applied to reconstruct the 3-D shape and the motion of the target. Considering to the poor robustness of the existing radar 3-D reconstruction algorithm based on geometry invariance, the motion inertia of the radar target is utilized in this paper to fit the motion path and via which the 3-D coordinates of the scatterers of the target are reconstructed optimally. Furthermore, the reconstruction error models are analyzed in this paper and the models of affine perturbation and Euclid reconstruction error are proposed. The simulation experiments verify that, after the affine matched correction, the fitted motion path is basically consistent with the real path so that the target’s motion features can be obtained efficiently. Meanwhile, the Euclid reconstruction error can be suppressed effectively with the optimal reconstruction proposed in this paper implemented and, as a result, the accuracy of the reconstruction can be improved.