基于目标指示的两坐标警戒雷达目标高度补偿状态估计

为了克服现有目标高度补偿算法存在的模型假设不合理、实际应用效果难以保证等问题,本文以目标恒海拔等速运动为前提,利用协同单元提供的目标指示信息,对两坐标雷达的空间目标跟踪问题重新进行了研究.首先根据不同坐标系间的转换关系,构建了目标高度的准确表达式.然后通过恒等变换和合理的近似,得到了目标高度的估计公式,并利用绝对值不等式和柯西-施瓦茨不等式,推导得到了高度估计公式的误差.最后联合目标高度估计公式和两坐标雷达的缺维量测方程,采用扩展卡尔曼滤波方法,实现了目标空间状态的估计.仿真结果表明:本文算法可有效地对目标高度进行补偿,获得稳定、可靠的目标空间状态估计,从而为两坐标雷达目标空间状态估计问题提供了相对有效完善的解决方法.

Height Compensation for 3-D Target State Estimation Using 2-D Warning Radar Based on Target Indication

There are some shortcomings in the existing target height compensation algorithms, such as unreasonable model assumptions and unstable application effect.To avoid these defects, the problem of tracking the aerial target in 3-D space with a 2-D radar was restudied under the assumption that the target flights at a constant speed and a fixed altitude and the radar can obtain the indication information of the target from other collaborative detect units.First, on the basis of the transformation relation between different coordinates, an exact formula of the target height was deduced.Then utilizing identical transformation and reasonable approximations, an approximate estimation formula of the target height was derived.And the error in the formula was calculated using absolute value inequality and Cauchy-Schwarz inequality.At last, combining the original measurement equation of the 2-D radar with the target height estimation equation and using extended Kalman filter, the target space state was estimated.The simulation result shows the proposed algorithm can effectively compensate the target height information and obtain the stable and reliable estimation of the target space state, which can be used in the actual projects as the effective and perfect method for the target space state estimate problem of the 2-D radar.