Skip to main content
Have a personal or library account? Click to login
Insight into the Fourier Transform Band Pass Filtering Technique Cover

Insight into the Fourier Transform Band Pass Filtering Technique

Open Access
|Aug 2009

References

  1. Bremaud P. (2002), Springer Verlag Inc., New York.
  2. Brillinger D.R. (1975), Holt, Rinehart and Winston Inc., New York.
  3. Candès E.J., Charlton Ph.R., Helgason H. (2008) Detecting Highly Oscillatory Signals by Chirplet Path Pursuit,, Vol. 24, No. 1, 14-40.
  4. Fabert O. (2004) Effiziente Wavelet Filterung mit hoher Zeit-Frequenz-Auflösung,, Reihe A — Theoretische Geodäsie, Heft 119, Verlag der Bayerischen Akademie der Wissenschaften, München.
  5. Fabert O., Schmidt M. (2003) Wavelet Filtering with High Time-Frequency Resolution and Effective Numerical Implementation Applied on Polar Motion,, Vol. 38, No. 1, 3-13.
  6. Forbes A.M.G. (1988) Fourier Transform Filtering: A Cautionary Note,, Vol. 93, No. C6, 6958-6962.
  7. Gasquet C., Witomski P. (1999), Springer Verlag Inc., New York.
  8. Gibson P.C., Lamoureux M.P., and Margrave G.F. (2006) Letter to the Editor: Stockwell and Wavelet Transforms,, Vol. 12, Issue 6, 713-721.
  9. Hasan T. (1983) Complex Demodulation: Some Theory and Applications, In Brillinger D.R. and Krishnaiah P.R. (Editors),, Vol. 3 — Time Series in the Frequency Domain, Elsevier Science Publishers, Amsterdam, 125-156.
  10. Hoggar S.D. (2006), Cambridge University Press, Cambridge.
  11. Kołaczek B. (1992) Variations of Short Periodical Oscillations of Polar Motion with Periods Ranging from 10-140 Days,, Department of Geodetic Science and Surveying, The Ohio State University, Columbus, Ohio, USA.
  12. Kołaczek B. and Kosek W. (1993) Variations of 80-120 Days Oscillations of Polar Motion and Atmospheric Angular Momentum,, IAG Symposium No. 112, Potsdam, Germany, 5-10 October 1992, Edited by H. Montag and Ch. Reigber, Springer Verlag, 439-442.
  13. Koopmans L.H. (1974), Academic Press, New York.
  14. Kosek W. (1995) Time Variable Band Pass Filter Spectra of Real and Complex-Valued Polar Motion Series,, Vol. 30, No. 1, 27-43.
  15. Kosek W. (2004) Possible Excitation of the Chandler Wobble by Variable Geophysical Annual Cycle,, Vol. 39, No. 2, 135-145.
  16. Kosek W., Kaczkowski J. (1994) Short Periodic Oscillations inandPole Coordinates of the SLR and VLBI Techniques Detected After Filtering with the Kalman Filter,— Study of the Earth as Planet by Methods of Astronomy, Astrophysics and Geodesy, Odessa, 1992, Main Astronomical Observatory, Kiev, 288-297.
  17. Kosek W., Nastula J., Kołaczek B. (1995) Variability of Polar Motion Oscillations with Periods from 20 to 150 Days in 1979-1991,, Vol. 69, No. 4, 308-319.
  18. Kosek W., Popiński W. (1999) Comparison of Spectro-Temporal Analysis Methods on Polar Motion and its Atmospheric Excitation,, Vol. 34, No. 2, 65-75.
  19. Kulesh M., Holschneider M., Diallo M.S. (2008) Geophysical Wavelet Library: Applications of the Continuous Wavelet Transform to the Polarization and Dispersion Analysis of Signals,, Vol. 34, No. 12, 1732-1752.
  20. Nastula J., Korsun A., Kołaczek B., Kosek W., Hozakowski W. (1993) Variations of the Chandler and Annual Wobbles of Polar Motion in 1846-1988 and their Prediction,, Vol. 18, 131-135.
  21. Newland D.E. (1993) Harmonic Wavelet Analysis,, Series A, Vol. 443, 203-225.
  22. Newland D.E. (1994) Harmonic and Musical Wavelets,, Series A, Vol. 444, 605-620.
  23. Newland D.E. (1998) Time-Frequency and Time-Scale Signal Analysis by Harmonic Wavelets, In Procházka A., Uhliř J., Rayner P.J., Kingsbury N.G. (Editors),, Birkhäuser, Boston, 3-26.
  24. Pan Ch. (1998) Spectral Ringing Suppression and Optimal Windowing for Attenuation and Q Measurements,, Vol. 63, No. 2, 632-636.
  25. Pan Ch. (2001) Gibbs Phenomenon Removal and Digital Filtering Directly through the Fast Fourier Transform,, Vol. 49, No. 2, 444-448.
  26. Park J. (1992) Envelope Estimation for Quasi-Periodic Geophysical Signals in Noise: A Multi-taper Approach, In Walden A.T. and Guttorp P. (Editors),, London, 189-219.
  27. Popiński W. (1997) On Consistency of Discrete Fourier Analysis of Noisy Time Series,, Vol. 32, No. 3, 131-142.
  28. Popiński W., Kosek W. (1995) The Fourier Transform Band Pass Filter and its Application for Polar Motion Analysis,, Vol. 30, No. 1, 9-25.
  29. Popiński W., Kosek W. (2000) Comparison of Various Spectro-Temporal Coherence Functions between Polar Motion and Atmospheric Excitation Functions,, Vol. 35, No. 4, 191-207.
  30. Popiński W., Kosek W. (1999) Spectral Analysis of Sea Surface Topography Observed by TOPEX/POSEIDON Altimetry Using Two-Dimensional Fourier Transform,, Warsaw 1999.
  31. Press W.H., Flannery B.P., Teukolsky S.A., Vetterling W.T. (1992), Cambridge University Press, Cambridge.
  32. Sejdić E., Djurović I. and Jiang J. (2009) Time-Frequency Feature Representation Using Energy Concentration: An Overview of Recent Advances,, Vol. 19, Nr. 1, 153-183.
  33. Singleton R.C. (1969) An Algorithm for Computing the Mixed Radix Fast Fourier Transform,, Vol. 17, No. 2, 93-103.
  34. Speed T.P. (1985) Some Practical and Statistical Aspects of Filtering and Spectrum Estimation, In Price J. F. (Editor),, Plenum Press, New York, 101-118.
  35. Stockwell R.G. (2007) Why to Use the S-Transform?, In Fields Institute Communications — Vol. 52 — Pseudo-differential Operators: Partial Differential Equations and Time-Frequency Analysis, Edited by L. Rodino, B.-W. Schulze, M.W. Wong, 279-309.
  36. Stockwell R.G., Mansinha L., and Lowe R.P. (1996) Localization of the Complex Spectrum: The S Transform,, Vol. 44, No. 4, 998-1001.
  37. Van Milligen B.Ph. (1999) Wavelets, Non-linearity and Turbulence in Fusion Plasmas, In Van den Berg J.C. (Editor),, Cambridge University Press, Cambridge, 227-262.
DOI: https://doi.org/10.2478/v10018-009-0012-9 | Journal eISSN: 2083-6104 | Journal ISSN: 1509-3859 (formerly 0208-841X)
Language: English
Page range: 129 - 141
Published on: Aug 26, 2009
Published by: Polish Academy of Sciences, Space Research Centre
In partnership with: Paradigm Publishing Services

© 2009 Waldemar Popiński, published by Polish Academy of Sciences, Space Research Centre
This work is licensed under the Creative Commons License.