基于两种基函数表征的外弹道数据融合方法比较分析  

Comparison and Analysis of External Ballistics Data Fusion Methods Characterized by Two Basis Functions

作　　者：宫志华 刘洋 段鹏伟 陈春江 GONG Zhihua;LIU Yang;DUAN Pengwei;CHEN Chunjiang(Unit 63861 of PLA,Baicheng 137001,China)

机构地区：[1]中国人民解放军63861部队,吉林白城137001

出　　处：《弹道学报》2024年第4期97-103,共7页Journal of Ballistics

摘　　要：基于基函数约束的最佳误差模型弹道估计(EMBET)是外弹道事后高精度数据融合处理的重要方法,选择合适的基函数,对有效、准确地获取弹道参数和分析弹道特征意义重大。为直观研究不同基函数对外弹道数据融合处理准确性及处理效能的影响,对三次B-Spline基函数和两点三次Hermite基函数表征弹道参数的EMBET数据融合方法进行了比较分析。首先,应用两种基函数对弹道轨迹进行表征,将弹道测量数据的融合处理问题转化为基函数系数的估计问题,从而实现外弹道融合模型的解算。然后,结合武器系统理论弹道特征,通过融合解算实例,对基于两种基函数的数据融合方法进行了对比仿真,分别从弹道坐标、弹道速度和测量元素误差三个方面,对两种数据融合方法的准确度进行了比较分析。仿真结果表明,在相同条件下,基于两种基函数的数据融合方法均可以实现弹道坐标及速度参数的高精度求解,但基于B-Spline基函数的外弹道数据融合方法不仅在待估参数压缩和计算效能方面更具优势,而且弹道速度参数求解精度更高。The error model best estimation of trajectory(EMBET)based on the constraint of basis function is an important method for post-mission high-precision data processing of external ballistics.It is significant to choose an appropriate basis function for obtaining ballistic parameters and analyzing ballistic characteristics effectively and accurately.To explore the effect of basis function on the accuracy and efficiency of data fusion for external trajectory data,the EMBET data fusion methods characterized by cubic B-Spline basis function and two-point cubic Hermite basis function were compared and analyzed.Firstly,the trajectory was characterized by two basis functions.Therefore,the data fusion for trajectory measurement data was transformed into the estimation of basis function coefficients.Thus,the fusion model of external trajectory was solved.Combining the theoretical ballistic characteristics of weapon systems,the data fusion methods based on the two basis-functions were simulated and compared through fusion instance.The accuracy was also compared and analyzed according to the ballistic coordinate,ballistic velocity and error detection of measurement elements.The simulation results show that,under the same conditions,both of the data fusion methods based on the two basis functions can achieve high-precision external ballistics coordinate parameters.But the data fusion method based on the basis function of B-Spline is more advantageous in compression of estimated parameters and calculation efficiency.Furthermore,the calculation accuracy of its ballistics velocity parameters is higher than that of the other method.

关 键 词：外弹道 误差模型最佳弹道估计 基函数 误差模型 数据融合 待估参数 

分 类 号：TP274.2[自动化与计算机技术—检测技术与自动化装置]