2018
DOI: 10.1088/1742-2140/aa93af
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Downhole microseismic signal-to-noise ratio enhancement via strip matching shearlet transform

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Cited by 5 publications
(3 citation statements)
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“…Shearlet transform is a multi-scale and multi-direction geometric analysis method, 18,19 which is widely used in the field of image and signal processing. 20 It is a multi-scale and multidirectional signal-based analysis. By constructing multi-scale and multi-directional basis function decompositions and localizing the decomposition and representation of the signal, additional shear coefficients are introduced.…”
Section: B Shearlet Transform Algorithm Flowmentioning
confidence: 99%
“…Shearlet transform is a multi-scale and multi-direction geometric analysis method, 18,19 which is widely used in the field of image and signal processing. 20 It is a multi-scale and multidirectional signal-based analysis. By constructing multi-scale and multi-directional basis function decompositions and localizing the decomposition and representation of the signal, additional shear coefficients are introduced.…”
Section: B Shearlet Transform Algorithm Flowmentioning
confidence: 99%
“…We add random Gaussian noise to each component of the noiseless trace. We define the signal-to-noise ratio (SNR) as (Li et al, 2018;Zhang et al, 2020): We note that the choice of Gaussian noise has a quantifiable consequence on the power spectra of the signals, as it is known that additive white noise has an expected constant power in Fourier space (see e.g. Haykin, 2001;Papoulis et al, 2002).…”
Section: Inferencementioning
confidence: 99%
“…)where sij refers to the j-th component of the i-th trace and sij to the corresponding noisy trace, N = 8000 is the number of training data and N keep = 2001 (1000 in the ISO case) is the number of time components. FollowingLi et al (2018), we set SNR= 33 dB, which corresponds to a standard deviation of the Gaussian noise of σ = 10.0, 0.3 and 3.5 for ISO, DC and CLVD, respectively, in the same arbitrary units as the seismograms' amplitude. We show examples of noiseless and noisy signals in Fig.5.…”
mentioning
confidence: 99%