Abstract
Denoising of full-tensor gravity-gradiometer data involves detailed information from field sources, especially the data mixed with high-frequency random noise. We present a denoising method based on the translation-invariant wavelet with mixed thresholding and adaptive threshold to remove the random noise and retain the data details. The novel mixed thresholding approach is devised to filter the random noise based on the energy distribution of the wavelet coefficients corresponding to the signal and random noise. The translationinvariant wavelet suppresses pseudo-Gibbs phenomena, and the mixed thresholding better separates the wavelet coefficients than traditional thresholding. Adaptive Bayesian threshold is used to process the wavelet coefficients according to the specific characteristics of the wavelet coefficients at each decomposition scale. A two-dimensional discrete wavelet transform is used to denoise gridded data for better computational efficiency. The results of denoising model and real data suggest that compared with Gaussian regional filter, the proposed method suppresses the white Gaussian noise and preserves the high-frequency information in gravity-gradiometer data. Satisfactory denoising is achieved with the translation-invariant wavelet.
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Acknowledgments
We wish to thank Bell Geospace for the full-tensor gravity-gradient data from the Vinton Dome.
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The research was jointly supported by the National Key Research and Development Plan Issue (Nos. 2017YFC0602203 and 2017YFC0601606), the National Science and Technology Major Project Task (No. 2016ZX05027-002-003), the National Natural Science Foundation of China (Nos. 41604089 and 41404089), the State Key Program of National Natural Science of China (No. 41430322), the Marine/Airborne Gravimeter Research Project (No. 2011YQ12004505), the State Key Laboratory of Marine Geology, Tongji University (No. MGK1610), and the Basic Scientific Research Business Special Fund Project of Second Institute of Oceanography, State Oceanic Administration (No. 14275-10).
Zhang Dai-Lei is a Ph.D. student in Solid Earth Geophysics in the College of Geo-Exploration Science and Technology, Jilin University. His research interests are processing of airborne gravity and magnetic data, and geophysical surveying with unmanned aerial vehicles.
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Zhang, DL., Huang, DN., Yu, P. et al. Translation-invariant wavelet denoising of full-tensor gravity –gradiometer data. Appl. Geophys. 14, 606–619 (2017). https://doi.org/10.1007/s11770-017-0649-2
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DOI: https://doi.org/10.1007/s11770-017-0649-2