Adaptive prediction filtering in $t$ -$x$ -$y$ domain for random noise attenuation using regularized nonstationary autoregression

Bibliography

Abma, R., and J. Claerbout, 1995, Lateral prediction for noise attenuation by $t$ -$x$ and $f$ -$x$ techniques: Geophysics, 60, 1887-1896.

Canales, L. L., 1984, Random noise reduction: 54th Annual International Meeting, SEG, Expanded Abstracts, Session: S10.1.

Claerbout, J. F., 1992, Earth Soundings Analysis: Processing Versus Inversion: Blackwell Scientific Publications.

----, 2009, Basic earth imaging: Stanford Exploration Project, http://sepwww.stanford.edu/sep/prof/.

----, 2010, Geophysical image estimation by example - Multidimensional autoregression: Stanford Exploration Project, http://sepwww.stanford.edu/sep/prof/.

Crawley, S., J. F. Claerbout, and R. Clapp, 1999, Interpolation with smoothly nonstationary prediction-error filters: 69th Annual International Meeting, SEG, Expanded Abstracts, 1154-1157.

Fomel, S., 2002, Applications of plane-wave destruction filters: Geophysics, 67, 1946-1960.

----, 2007, Shaping regularization in geophysical-estimation problems: Geophysics, 72, R29-R36.

----, 2009, Adaptive multiple subtraction using regularized nonstationary regression: Geophysics, 74, V25-V33.

Fomel, S., and Y. Liu, 2010, Seislet transform and seislet frame: Geophysics, 75, V25-V38.

Fomel, S., P. Sava, I. Vlad, Y. Liu, and V. Bashkardin, 2013, Madagascar: open-source software project for multidimensional data analysis and reproducible computational experiments: Journal of Open Research Software, 1, e8.

French, W. S., 1974, Two-dimensional and three-dimensional migration of model-experiment reflection profiles: Geophysics, 39, 265-277.

Gulunay, N., 1986, Fx decon and complex Wiener prediction filter: 56th Annual International Meeting, SEG, Expanded Abstracts, Session: POS2.10.

----, 2000, Noncausal spatial prediction filtering for random noise reduction on 3-D poststack data: Geophysics, 65, 1641-1653.

Karsli, H., D. Dondurur, and G. Çifçi, 2006, Application of complex-trace analysis to seismic data for random-noise suppression and temporal resolution improvement: Geophysics, 71, V79-V86.

Liu, G. C., and X. H. Chen, 2013, Noncausal $f$ -$x$ -$y$ regularized nonstationary prediction filtering for random noise attenuation on 3D seismic data: Journal of Applied Geophysics, 93, 60-66.

Liu, G. C., X. H. Chen, J. Du, and K. L. Wu, 2012, Random noise attenuation using $f$ -$x$ regularized nonstationary autoregression: Geophysics, 77, V61-V69.

Liu, Y., and S. Fomel, 2010, OC-seislet: seislet transform construction with differential offset continuation: Geophysics, 75, WB235-WB245.

----, 2011, Seismic data interpolation beyond aliasing using regularized nonstationary autoregression: Geophysics, 76, V69-V77.

Liu, Y., and C. Liu, 2011, Nonstationary signal and noise separation using adaptive prediction-error filter: 81st Annual International Meeting, SEG, Expanded Abstracts, 3601-3606.

Lu, W., and J. Liu, 2007, Random noise suppression based on discrete cosine transform: 77th Annual International Meeting, SEG, Expanded Abstracts, 2668-2672.

Naghizadeh, M., and M. Sacchi, 2009, $f$ -$x$ adaptive seismic-trace interpolation: Geophysics, 74, V9-V16.

Neelamani, R., A. I. Baumstein, D. G. Gillard, M. T. Hadidi, and W. I. Soroka, 2008, Coherent and random noise attenuation using the curvelet transform: The Leading Edge, 27, 240-248.

Ristau, J. P., and W. M. Moon, 2001, Adaptive filtering of random noise in 2-D geophysical data: Geophysics, 66, 342-349.

Sacchi, M., and H. Kuehl, 2001, ARMA formulation of FX prediction error filters and projection filters: Journal of Seismic Exploration, 9, 185-197.

Sacchi, M., and M. Naghizadeh, 2009, Adaptive linear prediction filtering for random noise attenuation: 79th Annual International Meeting, SEG, Expanded Abstracts, 3347-3351.

Spitz, S., 1991, Seismic trace interpolation in the F-X domain: Geophysics, 56, 785-794.

Tikhonov, A. N., 1963, Solution of Incorrectly Formulated Problems and the Regularization Method: Soviet Mathematics - Doklady.