异结构不等精度测量的融合估计分析

摘要

融合估计是提高参数估计精度的有效手段。针对异结构和不等精度测量条件，利用合同变换、迹函数和矩阵微分等数学工具，分析了融合估计问题。分析表明：第一，单设备估计、最优融合估计和联合估计都是融合估计的特例；第二，联合估计的精度高于低精度单设备估计的精度；第三，最优估计的精度高于高精度单设备估计的精度，而且总是高于联合估计的精度；第四，只有满足一定条件，联合估计的精度才高于高精度单设备估计的精度。上述理论在 V2导弹参数融合估计的仿真中得到了验证。%Fusion estimation is an effective measure to improve the precision of parameters estimation.In this paper,the fusion estima-tion problem is analyzed for the measurement conditions with multi -structures and unequal -precisions,using the tools of congruent transformation,trace function and matrix differential.Analysis shows that:Firstly,the single equipment estimation,the optimal fusion estimation and the joint estimation are some special cases of the fusion estimation;Secondly,the precision of the joint estimation is higher than that of the single equipment estimation with smaller random error;Thirdly,the precision of the optimal estimation is higher than that of the single equipment estimation with bigger random error,and is always higher than that of the joint estimation;Forthly, the precision of the joint estimation is higher than that of the single equipment estimation with bigger random error if certain conditions are satisfied.The fusion estimation theories results are validated by the simulation of the V2 missile.