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Application of Multiresolution Filtering in Spectral Geoid Determination

  • Christopher Kotsakis
  • Michael G. Sideris
Conference paper
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 119)

Abstract

The Wavelet Transform as a new tool for spectral gravity field modeling is introduced. Its very useful localization properties are explored and some comparisons with classic Fourier transform are made in order to realize the superiority of the Wavelet transform in approximating and analyzing general, non-stationary gravity field signals. Finally, some important issues for further research are outlined.

Keywords

Gravity Field Gravity Anomaly Mother Wavelet Continuous Wavelet Transform Wavelet Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Cohen, A. and Kovacevic, J. (1996): Wavelets: The Mathematical Background. IEEE Proceedings, 84(4), April 1996.Google Scholar
  2. Daubechies, I. (1990): The Wavelet Transform, Time-Frequency Localization and Signal Analysis. IEEE Transactions on Information Theory, 36(5), 961–1005.CrossRefGoogle Scholar
  3. Daubechies, I., Grossmann, A. and Meyer, Y. (1986): Painless non-orthogonal expansions. Journal of Mathematical Physics, 27(5), 1271–1283.CrossRefGoogle Scholar
  4. Sideris, M.G. (1995): On the use of heterogeneous noisy data in spectral gravity field modeling methods. Journal of Geodesy, 70, 470–479.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Christopher Kotsakis
    • 1
  • Michael G. Sideris
    • 1
  1. 1.Department of Geomatics EngineeringThe University of CalgaryCalgaryCanada

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