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Transfer Function Identification of Pendulum Tiltmeter Based on GNA-ARMA Model
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Wentao ZUO1, 2, Yunyao ZHOU1, 2, 3, 4, *, Yongqing LÜ1, 2, 3
Journal of Geodesy and Geodynamics | 2026, 46(2) : 189 - 193
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Journal of Geodesy and Geodynamics | 2026, 46(2): 189-193
Transfer Function Identification of Pendulum Tiltmeter Based on GNA-ARMA Model
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Wentao ZUO1, 2, Yunyao ZHOU1, 2, 3, 4, *, Yongqing LÜ1, 2, 3
Affiliations
  • 1 Wuhan Institute of Earth Observation, CEA, Wuhan 430071, China
  • 2 Institute of Seismology, CEA, Wuhan 430071, China
  • 3 Key Laboratory of Earthquake Geodesy, CEA, Wuhan 430071, China
  • 4 Wuhan Gravitation and Solid Earth Tides, National Observation and Research Station, Wuhan 430071, China
Published: 2026-02-15 doi: 10.14075/j.jgg.2025.03.065
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In this paper, a system identification method based on the combination of GNA and ARMA is proposed to model the transfer function of the pendulum tilt instrument system. The GNA algorithm dynamically adjusts the step size to optimize the estimation of system parameters and the ARMA model models the noise characteristics to suppress random fluctuations. The system identification results are comprehensively analyzed. Compared with the standalone GNA algorithm, the integration of the ARMA model improves the fitting accuracy of the system transfer function from 92.96% to 95.53%, and reduces FPE from 115.9 to 47.28. This enhancement significantly strengthens the system's ability to suppress external noise. Moreover, the zero-pole distribution and residual analysis further validate the improved stability and reliability of the identified transfer function. This method enhances the accuracy and robustness of transfer function identification for the pendulum tilt instrument system, providing a solid foundation for its calibration and performance optimization.

transfer function identification  /  adaptive Gauss-Newton algorithm  /  ARMA model  /  comprehensive analysis  /  pendulum tiltmeter system
左文涛, 周云耀, 吕永清. 基于GNA-ARMA模型的摆式倾斜仪传递函数辨识研究. 大地测量与地球动力学, 2026 , 46 (2) : 189 -193 . DOI: 10.14075/j.jgg.2025.03.065
Wentao ZUO, Yunyao ZHOU, Yongqing LÜ. Transfer Function Identification of Pendulum Tiltmeter Based on GNA-ARMA Model[J]. Journal of Geodesy and Geodynamics, 2026 , 46 (2) : 189 -193 . DOI: 10.14075/j.jgg.2025.03.065
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Year 2026 volume 46 Issue 2
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doi: 10.14075/j.jgg.2025.03.065
  • Receive Date：2025-03-05
  • Online Date：2026-10-29
  • Published：2026-02-15
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  • Received：2025-03-05
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Affiliations
    1 Wuhan Institute of Earth Observation, CEA, Wuhan 430071, China
    2 Institute of Seismology, CEA, Wuhan 430071, China
    3 Key Laboratory of Earthquake Geodesy, CEA, Wuhan 430071, China
    4 Wuhan Gravitation and Solid Earth Tides, National Observation and Research Station, Wuhan 430071, China
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表12种不同金属材料的力学参数
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Family		 属数
Number of
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Number of
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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