Minimum weighted norm interpolation of seismic records

Geophysics

Volumn 69, Issue 6, 2004, Pages 1560-1568

  Liu, Bin ^a   Sacchi, Mauricio D ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; EXTRAPOLATION; FAST FOURIER TRANSFORMS; INTERPOLATION; INVERSE PROBLEMS; MATRIX ALGEBRA; PROBLEM SOLVING; SIGNAL PROCESSING; VECTORS; DATA HANDLING; NUMERICAL METHODS; SEISMOLOGY;

CONJUGATE GRADIENTS; REGULARIZATION; SEISMIC DATA PROCESSING; WAVEFIELD RECONSTRUCTION METHOD; BAND-LIMITED SIGNAL; MATRIX VECTOR MULTIPLICATION; MINIMUM-WEIGHTED NORMS; MULTIDIMENSIONAL RECONSTRUCTION; NUMERICAL ALGORITHMS; RECONSTRUCTION PROBLEMS; REGULARIZATION TERMS;

SEISMIC PROSPECTING; INVERSE PROBLEMS;

DATA INTERPRETATION; DATA PROCESSING; SEISMIC DATA;

EID: 12144285250     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.1836829     Document Type: Article

References (20)

1. Bingham, C., M. D. Godfrey, and J. W. Tukey, 1967, Modern techniques of power spectrum estimation: IEEE Transactions on Audio and Electroacoustics, 15, No. 2, 56-66.
2. Cabrera, S. D., and T. W. Parks, 1991, Extrapolation and spectrum estimation with iterative weighted norm modification: IEEE Transactions in Signal Processing, 39, 842-850.
3. Cary, P. W., 1997, 3-D stacking of irregularly sampled data by wavefield reconstruction: 67th Annual International Meeting, SEG, Expanded Abstracts, 1104-1107.
4. Claerbout, J. F., 1992, Earth soundings analysis: Processing versus inversion: Blackwell Scientific Publications, Inc.
5. Davis, P. J., 1979, Circulant matrices: John Wiley & Sons, Inc.
6. Duijndam, A. J. W., M. Schonewille, and K. Hindriks, 1999, Reconstruction of seismic signals, irregularly sampled along one spatial direction: Geophysics, 64, 524-538.
7. Hansen, P. C., 1998, Rank-deficient and discrete ill-posed problems: Numerical aspects of linear inversion: SIAM Monographs on Mathematical Modeling and Computation v. 4.
8. Herrmann, P., T. Mojesky, M. Magesan, and P. Hugonnet, 2000, Dealiased, high-resolution Radon transforms: 70th Annual International Meeting, SEG, Expanded Abstracts, 1953-1956.
9. Hestenes, M. R., 1975, Pseudoinverse and conjugate gradients: Association for Computing machinery, 18, No. 1, 40-43.
10. Hindriks, K., A. J. W. Duijndam, and M. A. Schonewille, 1997, Reconstruction of two-dimensional irregularly sampled wavefields: 67th Annual International Meeting, SEG, Expanded Abstracts, 1163-1166.
11. Hugonnet, P., P. Herrmann, and C. Ribeiro, 2001, High resolution Radon-A review: 63rd Meeting: European Association of Exploration Geophysicists, Extended Abstracts, Session IM-2.
12. Jain, A. K., and S. Ranganath, 1981, Extrapolation algorithms for discrete signals with application in spectrum estimation: IEEE Transactions in Acoustics, Speech and Signal Processing, 29, 830-845.
13. Nichols, D., 1997, A simple example of a null space and how to modify it: Stanford Exploration Project Report, 82, 182-192.
14. Ronen, J., 1987, Wave-equation trace interpolation: Geophysics, 52 973-984.
15. Sacchi, M. D., and T. J. Ulrych, 1996, Estimation of the discrete Fourier transform, a linear inversion approach: Geophysics, 61, 1128-1136.
16. Sacchi, M. D., T. J. Ulrych, and C. Walker, 1998, Interpolation and extrapolation using a high-resolution discrete Fourier transform: IEEE Transactions in Signal Processing, 46, 31-38.
17. Shuey, R. T., 1987, A simplification of the Zoeppritz equations: Geophysics, 50, 993-1014.
18. Spitz, S., 1991, Seismic trace interpolation in the F-X domain: Geophysics, 56, 785-794.
19. Strang, G., 1986, Introduction to applied mathematics: Wellesley-Cambridge Press.
20. Zwartjes, P. M., and A. J. W. Duijndam, 2000, Optimizing reconstrucion for sparse spatial sampling: 70th Annual International Meeting, SEG, Expanded Abstracts, 2162-2165.