航空重力测量数据的小波滤波处理

doi:10.11720/wtyht.2020.1388

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Abstract

Filtering is one of the crucial technologies for data processing in airborne gravimetry. Aimed at the wavelet filtering especially, the authors developed the wavelet low-pass filter for data processing in this paper. Based on the wavelet packet analysis, the wavelet packet tree was optimized according to the signal frequency range of corresponding estimated wavelet packet decomposition level, the desired low-pass cutoff frequency and the node’s arranged order on the basis of the “frequency” order of the wavelet packet coefficients from the low frequencies to the high frequencies. The main characteristics of the orthogonal or the biorthogonal wavelets were analyzed, and the new threshold processing schemes were proposed in this paper, The authors made the experimental researches on filtering GT-airborne gravity data using the wavelet filter. The results show that the discrete Meyer wavelet’s filtering has achieved the best effect among the wavelets available, and this wavelet filter for airborne gravity data has almost as good satisfactory filtering effect as GT-1A result, with the root-mean squared difference between 0.2 mGal and 0.3 mGal in comparison with GT-1A result.

Key words： airborne gravimetry wavelet packet analysis low-pass filter wavelet’s properties; threshold processing

Received: 12 August 2019 Published: 22 April 2020

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Corresponding Authors: Sheng-Qing XIONG E-mail: xsq@agrs.cn

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	Jing-Bo WANG
	Sheng-Qing XIONG
	Feng LUO
	Guan-Xin WANG

Cite this article:

Jing-Bo WANG,Sheng-Qing XIONG,Feng LUO, et al. Wavelet filter processing in airborne gravimetry[J]. Geophysical and Geochemical Exploration, 2020, 44(2): 300-312.

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https://www.wutanyuhuatan.com/EN/10.11720/wtyht.2020.1388 OR https://www.wutanyuhuatan.com/EN/Y2020/V44/I2/300

Wavelet decomposition tree at level 3

Unit of wavelet decomposition

Wavelet packet decomposition tree at level 3

Unit of wavelet packet decomposition

The “frequency” order of wavelet packet coefficients and natural nodes order at level 3

Wavelet families and main associated properties。

Wavelet packet decomposition tree of the low pass filter (filtering period: 60 s) 。

GT-1A raw unfiltered airborne gravity free air anomaly。

Wavelet packet decomposition tree of the low pass filter (filtering period: 100 s) 。

Difference statistics between the wavelet packet reconstruction’s computing result and GT-1A filtering result (60 s low-pass filter)

Difference statistics between the wavelet packet reconstruction’s computing result and GT-1A filtering result (100 s low-pass filter)

Difference statistics between the wavelet filtering result and GT-1A filtering result (filtering period: 60 s)

Difference statistics between the wavelet filtering result and GT-1A filtering result (filtering period: 100 s)

Airborne gravity free air anomaly of dmey wavelet and GT-1A 60 s filter

Airborne gravity free air anomaly of db7 wavelet and GT-1A 60 s filter

Airborne gravity free air anomaly of sym7 wavelet and GT-1A 60 s filter

Airborne gravity free air anomaly of coif5 wavelet and GT-1A 60 s filter

Airborne gravity free air anomaly of bior5.5 wavelet and GT-1A 60 s filter

Airborne gravity free air anomaly of bior6.8 wavelet and GT-1A 60 s filter

Airborne gravity free air anomaly of dmey wavelet and GT-1A 100 s filter

Airborne gravity free air anomaly of db11 wavelet and GT-1A 100 s filter

Airborne gravity free air anomaly of sym10 wavelet and GT-1A 100 s filter

Airborne gravity free air anomaly of coif5 wavelet and GT-1A 100 s filter

Airborne gravity free air anomaly of bior5.5 wavelet and GT-1A 100 s filter

Airborne gravity free air anomaly of bior6.8 wavelet and GT-1A 100 s filter

Power spectrums of GT-1A raw unfiltered, 60 s and 100 s filtered airborne gravity free air anomaly

Airborne gravity free air anomaly of wavelets and GT-1A 60 s filter

Airborne gravity free air anomaly of wavelets and GT-1A 100 s filter

The difference between wavelet filtering and GT-1A filtering result and statistics

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