1887
  1. Home
  2. A-Z Publications
  3. Geophysical Prospecting
  4. Volume 30, Issue 3
  5. Article
Volume 30 Number 3
  • E-ISSN: 1365-2478

Abstract

A

Wavenumber aliasing is the main limitation of conventional optimum least‐squares linear moveout filters: it prevents adequate reject domain weighting for efficient coherent noise rejection. A general frequency domain multichannel filter design technique based on a one‐to‐one mapping method between two‐dimensional (2D) space and one‐dimensional (1D) space is presented. The 2D desired response is mapped to the 1D frequency axis after a suitable sorting of the coefficients. A min‐max or Tchebycheff approximation to the desired response is obtained in the 1D frequency domain and mapped back to the 2D frequency domain. The algorithm is suitable for multiband 2D filter design. No aliasing damage is inherent in the linear moveout filters designed using this technique because the approximation is done in the frequency‐wavenumber (, )‐domain.

Linear moveout filters designed by using the present coefficient mapping technique achieve better pass domain approximations than the corresponding conventional least‐squares filters. Compatible reject domain approximations can be obtained from suitable mappings of the origin coefficient of the desired ()‐response to the 1D frequency axis. The ()‐responses of linear moveout filters designed by using the new technique show equi‐ripple behavior. Synthetic and real data applications show that the present technique is superior to the optimum least‐squares filters and straight stacking in recovering and enhancing the signal events with relatively high residual statics. Their outputs also show higher resolution than those of the optimum least‐squares filters.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1982.tb01307.x
2006-04-27
2024-04-25

  • From This Site

    /content/journals/10.1111/j.1365-2478.1982.tb01307.x
    dcterms_title,dcterms_subject,pub_keyword
    -contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution
    10
    5
Loading full text...

Full text loading...

References

  1. Cassano, E. and Rocca, F.1973, Multichannel linear filters for optimum rejection of multiple reflections, Geophysics38, 1053–1061.
    [Google Scholar]
  2. Cassano, E. and Rocca, F.1974, After‐stack multichannel filters without mixing effects, Geophysical Prospecting22, 330–344.
    [Google Scholar]
  3. Embree, P., Burg, J. P. and Backus, M. M.1963, Wide‐band velocity filtering—the pie‐slice process, Geophysics28, 948–974.
    [Google Scholar]
  4. Fail, J. P. and Grau, G.1963, Les filters en eventail, Geophysical Prospecting11, 131–163.
    [Google Scholar]
  5. Fiasconaro, J. G.1973, Two‐dimensional nonrecursive digital filters, MIT, Lincoln Laboratory, Technical Report 505.
    [Google Scholar]
  6. Galbraith, J. N. and Wiggins, R. A.1968, Characteristics of optimum multichannel stacking filters, Geophysics33, 36–48.
    [Google Scholar]
  7. Harris, D. B. and Mersereau, R. M.1977, A comparison of algorithms for minmax design of two‐dimensional linear phase FIR digital filters, IEEE Transactions on Acoustics, Speech and Signal Processing, ASSP‐25, 492–500.
    [Google Scholar]
  8. Helms, H. D.1968, Nonrecursive digital filters: Design methods for achieving specifications on frequency response, IEEE Transactions on Audio and ElectroacousticsAU‐16, 336–342.
    [Google Scholar]
  9. Helms, H. D.1971, Digital filters with equiripple or minimax responses, IEEE Transactions on Audio and Electroacoustics. AU‐19, 87–93.
    [Google Scholar]
  10. Herrmann, O., Rabiner, L. R. and Chan, D. S. K.1973, Practical design rules for optimum finite impulse response low‐pass digital filters, The Bell System Technical Journal52, 769–799.
    [Google Scholar]
  11. Hu, J. V. and Rabiner, L. R.1972, Design techniques for two‐dimensional digital filters, IEEE Transactions on Audio and ElectroacousticsAU‐20, 249–257.
    [Google Scholar]
  12. Huang, T. S.1972, Two‐dimensional windows, IEEE Transactions on Audio and Electro-acousticsAU‐20, 88–89.
    [Google Scholar]
  13. Hubral, P.1974, Stacking filters and their characterization in the (f, k)‐domain, Geophysical Prospecting22, 722–735.
    [Google Scholar]
  14. Hubral, P.1975, Characteristics of azimuth dependent optimum velocity filters designed for two‐dimensional arrays, Journal of Geophysics41, 265–279.
    [Google Scholar]
  15. Kamp, Y. and Thi̇ran, J. P.1975, Chebyshev approximation for two‐dimensional nonrecursive digital filters, IEEE Transactions on Circuits and SystemsCAS‐22, 208–218.
    [Google Scholar]
  16. McClellan, J. H.1973, On the design of one‐dimensional and two‐dimensional FIR digital filters, PhD thesis, Rice University.
  17. McClellan, J. H. and Parks, T. W.1972, Equiripple approximation of fan‐filters, Geophysics37, 573–583.
    [Google Scholar]
  18. McClellan, J. H., Parks, T. W. and Rabiner, L. R.1973, A computer program for designing optimum FIR linear phase digital filters, IEEE Transactions on Audio and Electro-acousticsAU‐21, 506–526.
    [Google Scholar]
  19. Mersereau, R. M. and Dudgeon, D. E.1974, The representation of two‐dimensional sequences as one‐dimensional sequences, IEEE Transactions on Acoustics, Speech and Signal ProcessingASSP‐22, 320–325.
    [Google Scholar]
  20. Mersereau, R. M. and Dudgeon, D. E.1975, Two‐dimensional digital filtering, Proceedings of the IEEE63, 610–623.
    [Google Scholar]
  21. Oppenheim, A. V. and Schafer, R. W.1975, Digital Signal Processing, Prentice‐Hall Inc., Englewood Cliffs, New Jersey .
    [Google Scholar]
  22. ÖZdemi̇r, H.1977, Design of multichannel nonrecursive digital filters with applications to seismic reflection data, PhD thesis, London University.
  23. Parks, T. W. and McClellan, J. H.1972, Chebyshev approximation for nonrecursive digital filters with linear phase, IEEE Transactions on Circuit TheoryCT‐19, 189–194.
    [Google Scholar]
  24. Rabiner, L. R.1971, Techniques for designing finite‐duration impulse response digital filters, IEEE Transactions on Communications TechnologyCOM‐19, 188–195.
    [Google Scholar]
  25. Rabiner, L. R.1972, The design of finite impulse response digital filters using linear programming techniques, The Bell System Technical Journal51, 1117–1198.
    [Google Scholar]
  26. Rabiner, L. R. and Herrmann, O.1973, On the design of optimum low‐pass filters with even impulse response duration, IEEE Transactions on Audio and ElectroacousticsAU‐21, 329–336.
    [Google Scholar]
  27. Rabiner, L. R., Kaiser, J. F. and Schafer, R. W.1974, Some considerations in the design of multiband finite impulse response digital filters, IEEE Transactions on Acoustics, Speech and Signal ProcessingASSP‐22, 462–472.
    [Google Scholar]
  28. Rabiner, L. R., McClellan, J. H. and Parks, T. W.1975, FIR digital filter design techniques using weighted Chebyshev approximation, Proceedings of the IEEE63, 595–610.
    [Google Scholar]
  29. Rabiner, L. R. and Gold, B.1975, Theory and Applications of Digital Signal Processing, Prentice‐Hall Inc., Englewood Cliffs, New Jersey .
    [Google Scholar]
  30. Sengbush, R. L. and Foster, M. R.1968, Optimum multichannel velocity filters, Geophysics33, 11–35.
    [Google Scholar]
  31. Treitel, S., Shanks, J. L. and Frasier, C. W.1967, Some aspects of fan filters, Geophysics32, 789–800.
    [Google Scholar]
  32. White, R. E.1973, The estimation of signal spectra and related quantities by means of the multiple coherence function, Geophysical Prospecting21, 660–703.
    [Google Scholar]
  33. Ziolkowski, A. and Lerwill, W. E.1979, A simple approach to high resolution seismic profiling for coal, Geophysical Prospecting27, 360–393.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1982.tb01307.x
Loading
  • Article Type: Research Article

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error