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Data Smoothing and Filtering Technique by Free Node Spline Function

Zhu Ju-bo

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Abstract

In this paper,we discussed the smoothing problem in target tracking and aerospace measurement.A novel model based on free node spline function is put forward to improve the design of the polynomial least square filter.Compared with a polynomial expression of trajectory,the spline expression of the trajectory can make the truncation error decrease greatly.Thus the trajectory parameter estimation accuracy is enhanced accordingly.Simulation results show that this method can improve the parameter estimation accuracy notably when target is maneuvering.

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What this paper is about

In this paper,we discussed the smoothing problem in target tracking and aerospace measurement.A novel model based on free node spline function is put forward to improve the design of the polynomial least square filter.Compared with a polynomial expression of trajectory,the spline expression of the trajectory can make the truncation error decrease greatly.Thus the trajectory parameter estimation accuracy is enhanced accordingly.Simulation results show that this method can improve the parameter estimation accuracy notably when target is maneuvering.

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Available abstract

In this paper,we discussed the smoothing problem in target tracking and aerospace measurement.A novel model based on free node spline function is put forward to improve the design of the polynomial least square filter.Compared with a polynomial expression of trajectory,the spline expression of the trajectory can make the truncation error decrease greatly.Thus the trajectory parameter estimation accuracy is enhanced accordingly.Simulation results show that this method can improve the parameter estimation accuracy notably when target is maneuvering.

Key concepts: Spline (mechanical), Smoothing, Smoothing spline, Trajectory, Polynomial, B-spline, Algorithm, Mathematics

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