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regularized nonstationary autoregression

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Journal Article
Journal: Geophysics
Published: 26 November 2014
Geophysics (2015) 80 (1): V13–V21.
... (APF) and further extended this to a 3D t - x - y version for random noise attenuation based on regularized nonstationary autoregression (RNA). Instead of patching, a popular method for handling nonstationarity, we obtained smoothly nonstationary APF coefficients by solving a global regularized least...
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Journal Article
Journal: Geophysics
Published: 08 October 2013
Geophysics (2013) 78 (6): O69–O76.
... nonstationary autoregression. To estimate local amplitudes of different components, I fit their sum to the data using regularized nonstationary regression. Shaping regularization ensures stability of the estimation process and provides controls on smoothness of the estimated parameters. Potential applications...
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Journal Article
Journal: Geophysics
Published: 21 February 2012
Geophysics (2012) 77 (2): V61–V69.
...Guochang Liu; Xiaohong Chen; Jing Du; Kailong Wu ABSTRACT We have developed a novel method for random noise attenuation in seismic data by applying regularized nonstationary autoregression (RNA) in the frequency-space ( f - x ) domain. The method adaptively predicts the signal with spatial changes...
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Journal Article
Journal: Geophysics
Published: 21 November 2011
Geophysics (2011) 76 (5): V69–V77.
...) and regularized nonstationary autoregression. Instead of cutting data into overlapping windows (patching), a popular method for handling nonstationarity, we obtain smoothly nonstationary PEF coefficients by solving a global regularized least-squares problem. We employ shaping regularization to control...
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Journal Article
Journal: Geophysics
Published: 22 March 2024
Geophysics (2024) 89 (3): V263–V280.
... neglected. For 3D multicomponent data, we develop a multicomponent adaptive prediction filter (MAPF) based on noncausal regularized nonstationary autoregressive models to implement random noise attenuation in the t - x - y domain. The MAPF for multicomponent signals can be used to identify the potential...
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Journal Article
Journal: Geophysics
Published: 19 March 2021
Geophysics (2021) 86 (3): W21–W30.
.... The regularized nonstationary autoregression (RNAR) method can be treated as a nonstationary extension of traditional PF, in which the predictive filter coefficients are variable in different spatial locations. This highly underdetermined inverse problem is solved by shaping regularization with a smoothness...
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Journal Article
Journal: Geophysics
Published: 26 June 2018
Geophysics (2018) 83 (4): F41–F48.
.... The streaming characteristic makes the proposed method faster than iterative approaches. In comparison with f - x deconvolution and f - x regularized nonstationary autoregression, we tested the feasibility of the proposed method in attenuating random noise on two synthetic data sets. Field-data examples confirm...
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Image
(a) Marmousi model and (b) trace interpolation with <span class="search-highlight">regularized</span> nonstationa...
Published: 21 November 2011
Figure 3. (a) Marmousi model and (b) trace interpolation with regularized nonstationary autoregression.
Image
(a) Curved model (Figure  2c ) with 70% randomly selected traces removed an...
Published: 21 November 2011
Figure 4. (a) Curved model (Figure  2c ) with 70% randomly selected traces removed and (b) trace interpolation with regularized nonstationary autoregression.
Image
A 3D field data example. (a) Teapot Dome data set. Denoised data using the ...
Published: 06 December 2021
Figure 12. A 3D field data example. (a) Teapot Dome data set. Denoised data using the (b)  f - x - y regularized nonstationary autoregression (RNAR) method, (c) local orthogonalization method, and (d) proposed method.
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(a) Aliased synthetic data, (b) trace interpolation with plane-wave destruc...
Published: 21 November 2011
Figure 1. (a) Aliased synthetic data, (b) trace interpolation with plane-wave destruction, and (c) trace interpolation with regularized nonstationary autoregression. Three additional traces were inserted between each of the neighboring input traces.
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Conventional processing methods. Stage I: after ground roll removal, (b) es...
Published: 18 November 2021
Figure 12. Conventional processing methods. Stage I: after ground roll removal, (b) estimated signal, and (c) estimated ground roll. Stage II: after applying f - x regularized nonstationary autoregression to the signal estimate from stage I, (e) estimated signal, and (f) estimated ground roll
Journal Article
Journal: Geophysics
Published: 29 July 2024
Geophysics (2024) 89 (5): F89–F95.
... , Random noise attenuation using f-x regularized nonstationary autoregression : Geophysics , 77 , no.  2 , V61 – V69 , doi: http://dx.doi.org/10.1190/geo2011-0117.1 . GPYSA7 0016-8033 Liu Y. Fomel S. , 2011 , Seismic data interpolation beyond aliasing using regularized nonstationary...
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Journal Article
Journal: Geophysics
Published: 18 August 2021
Geophysics (2021) 86 (5): V419–V429.
...-space domain, its frequency-space domain counterpart is developed in Liu et al. (2012) and is called the regularized nonstationary autoregression. However, compared to frequency-space domain NPEF, the time-space domain approach is usually less likely to cause artifacts ( Abma and Claerbout, 1995...
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Journal Article
Journal: Geophysics
Published: 18 November 2021
Geophysics (2022) 87 (1): V15–V27.
...Figure 12. Conventional processing methods. Stage I: after ground roll removal, (b) estimated signal, and (c) estimated ground roll. Stage II: after applying f - x regularized nonstationary autoregression to the signal estimate from stage I, (e) estimated signal, and (f) estimated ground roll...
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Journal Article
Journal: Geophysics
Published: 19 March 2015
Geophysics (2015) 80 (6): WD1–WD9.
... the proposed method. The third field data example is borrowed from Liu et al. (2012) . The noisy data are shown in Figure  8 . The initial signal and noise models are prepared using f - x regularized nonstationary autoregression (RNAR). Following the approach of Liu et al. (2012...
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Journal Article
Journal: Geophysics
Published: 19 November 2021
Geophysics (2022) 87 (1): V29–V38.
... to reconstruct seismic data in the frequency domain. Liu and Chen (2018) develop a prediction interpolation by using f - x regularized nonstationary autoregression (RNA), which can deal with the events that have space-varying dips. Zheng et al. (2019) develop a streaming prediction filter (SPF...
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Journal Article
Journal: Geophysics
Published: 01 August 2022
Geophysics (2022) 87 (5): V451–V466.
... domain for random noise attenuation : Geophysics , 83 , no.  4 , F41 – F48 , doi: http://dx.doi.org/10.1190/geo2017-0322.1 . GPYSA7 0016-8033 Liu G. Chen X. Du J. Wu K. , 2012 , Random noise attenuation using f-x regularized nonstationary autoregression : Geophysics , 77...
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Journal Article
Published: 29 May 2018
Journal of Environmental and Engineering Geophysics (2018) 23 (2): 223–233.
... . Liu, G., Chen, X., Du, J. and Wu, K., 2012 , Random noise attenuation using f-x regularized nonstationary autoregression : Geophysics , 77 , V61...
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Journal Article
Journal: Geophysics
Published: 06 December 2021
Geophysics (2022) 87 (1): V39–V49.
...Figure 12. A 3D field data example. (a) Teapot Dome data set. Denoised data using the (b)  f - x - y regularized nonstationary autoregression (RNAR) method, (c) local orthogonalization method, and (d) proposed method. ...
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