Acta Geodaetica et Cartographica Sinica ›› 2023, Vol. 52 ›› Issue (5): 706-713.doi: 10.11947/j.AGCS.2023.20210515

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Improved function filter and its application in airborne gravimetry

LIU Lintao1, LIANG Xinghui1, LANG Junjian1, SHI Zhimin1,2, YAO Yanji1,2, HU Huiwen1,2, SHEN Cong1,2   

  1. 1. State Key Laboratory of Geodesy and Earth's Dynamics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430077, China;
    2. University of Chinese Academy of Science, Beijing 101408, China
  • Received:2021-09-17 Revised:2022-09-21 Published:2023-05-27
  • Supported by:
    The National Scientific Instrument Development Fund (No. 2011YQ120045)

Abstract: In this paper, a novel function filter is constructed, which is composed of a parameterized Gaussian function and a scaled Shannon function. It can realize low pass, band pass and high pass filtering for time series. The frequency response function of the filter is flat in the filtering band and the transition band is smooth. The innovation of this paper is that the truncation frequency and the length of the transition band of the function filter are controlled independently by the scale parameter of the Shannon function and the window width parameter of the Gaussian function, which makes the filter have good design flexibility. Because the filter is continuous and differentiable, it can be used to filter the random sampling rate time series. The simulation results show that the filter has good filtering accuracy. This filter is applied to the airborne gravimetry data filtering processing, and the airborne gravimetry results of the 7 km scale are obtained simply and accurately. The invention of this filter makes filtering (low pass, band pass and high pass) simple and efficient.

Key words: functional filter, airborne gravimetry, FIR filter, normal time frequency transform, airborne gracimeter

CLC Number: