只测角的单站三维红外被动测距算法

A 3D Passive Infrared Ranging Algorithm Based on Bearing-Only with Monocular

研究只测角的单站三维被动测距算法。在三维空间运动几何模型的基础上,通过适当选择观测平台所在的地面坐标系,建立了目标距离变化与观测器位移的关系方程。同时,对高速运动物体的轨迹采用分段线性拟合的策略,即在较小采样间隔的情况下,假定连续三个观测时刻上的目标或观测器各自处于直线运动状态,即三点共线。该关系方程结合三点共线的假设,即可求解出目标到观测器的距离。缩比模型试验表明,该算法简便可行,测距相对误差优于±10%.

An algorithm for passive ranging based on bearing-only with monocular system in 3D space was investigated. Based on the 3D movement geometrical model and the selected ground coordinate system where observation platform lies in, the relation equation between the target＇ s distance variation and the observer＇s displacement were settled on. The piecewise linear fitting policy was adopted for high speed moving object, i.e. it is the three point collinear assumption that both the target and the observer, which are at the continuous three observing moments respectively, were in straight line moving state under the condition of a small sampling interval. The distance from the target to the ob- server was solved by the above relation equation combined with the above assumption. The experiment with scaled-down model shows that the method is simple and feasible, its ranging relative error is less than 10%.