一种伪随机脉冲的快速参数估计方法
Fast Parameter Estimation for Pseudo-Stochastic Pulse
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摘要: 在精密定轨中,附加伪随机脉冲能够很好地弥补力学模型精度不足的问题,然而由于伪随机脉冲数量通常较多,如果利用常规最小二乘方法直接进行参数估计,会严重降低计算效率。针对这一问题,给出了一种基于参数预消除与回代思想的伪随机脉冲参数快速估计方法,实测算例表明,利用本文方法,能够获得与常规最小二乘方法相同的参数估值,但本文方法在计算效率上要明显优于后者。Abstract: Pseudo-stochastic pulse can compensate for the deficiencies of a dynamic model in precise orbit determination. Because of the great number of pseudo-stochastic parameters, the efficiency of the conventional least squares estimation may be depressed. To resolve this problem, a method based on the theory of parameter pre-elimination and back substitution, is presented. This proposed method was validated by experiments, and the result shows that parameter estimation using this method is the same as that of the conventional least squares, but with improved efficiency.