A Dynamic Filtering Method Based on Generalized Extension Approximation Theory

Liu Cheng; Li Fang; Gao Weiguang; Wang Wei

Astronomical Research and Technology > 2020 > 17(4): 454-462.

Liu Cheng, Li Fang, Gao Weiguang, Wang Wei. A Dynamic Filtering Method Based on Generalized Extension Approximation Theory[J]. Astronomical Research and Technology, 2020, 17(4): 454-462.

Citation:

Liu Cheng, Li Fang, Gao Weiguang, Wang Wei. A Dynamic Filtering Method Based on Generalized Extension Approximation Theory[J]. Astronomical Research and Technology, 2020, 17(4): 454-462.

Citation:

Liu Cheng, Li Fang, Gao Weiguang, Wang Wei. A Dynamic Filtering Method Based on Generalized Extension Approximation Theory[J]. Astronomical Research and Technology, 2020, 17(4): 454-462.

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A Dynamic Filtering Method Based on Generalized Extension Approximation Theory

1. Beijing Institute of Tracking and Telecommunication Technology, Beijing 100094, China;
2. National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100101, China

More Information

Received Date: February 02, 2020
Revised Date: March 23, 2020
Available Online: November 20, 2023

Graphical Abstract

Abstract

Abstract

Based on a generalized extension approximation principle, a dynamic filtering method is proposed. The model and algorithm framework of the method are constructed, and the corresponding solution method and process are derived. By constructing and solving the generalized extension interpolation polynomial in a moving smoothing window, the time transition of system state is realized, which has better smoothing effect. The position and number of interpolation points in the smoothing window can be flexibly selected, thereby achieving higher accuracy and robustness by locking the latest observation point or the most accurate prior to observation point. The feasibility and performance of the method are simulated and verified. The results show that the method has better performance than the Kalman filter in terms of both Gaussian and non-Gaussian noise, and has development potential and application value.
- Generalized extension,
- Kalman filter,
- Smoothing window,
- Navigation,
- BeiDou navigation satellite system

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References (41)

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