Translations:Frequency spectrum/7/en
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Spectral analysis plays an important role in geophysics, as it does in all science. See, for example, Robinson (1970[1], 1982[2], 1983[3]), Ulrych and Jensen (1974)[4], Treitel et al. (1977)[5], Gutowski et al. (1977[6], 1978[7]), Treitel and Robinson (1981)[8], Haykin et al. (1983)[9], Rosa and Ulrych (1991)[10], and Sacchi and Ulrych (1996)[11]. At this point, it is fitting to quote the inimitable words of Ulrych (2008[12], p. 1):
- ↑ Robinson, E. A., 1970, Spectral model of geological time measurements: Proceedings of the IEEE 9th Symposium on Adaptive Processes, Decision and Control, University of Texas at Austin, 20.1.1–20.1.3.
- ↑ Robinson, E. A., 1982, Spectral approach to geophysical inversion by Lorentz, Fourier, and radon transforms: Proceedings of the IEEE, 70, 1039–1054.
- ↑ Robinson, E. A., 1983, Iterative least-squares procedure for ARMA spectral estimation, in S. Haykin, ed., Nonlinear methods of spectral analysis, 2nd ed.: Topics in Applied Physics, no. 34, Springer, 127–153.
- ↑ Ulrych, T., and O. Jensen, 1974, Cross-spectral analysis using maximum entropy: Geophysics, 39, 353–356.
- ↑ Treitel, S., E. A. Robinson, and P. R. Gutowski, 1977, Empirical spectral analysis revisited: in J. J. H. Miller, ed., Topics in numerical analysis, 3: Academic Press, 429–446.
- ↑ Gutowski, P. R., E. A. Robinson, and S. Treitel, 1977, Novel aspects of spectral estimation: Proceedings of the 1977 Joint Automatic Control Conference, 1, 99–104.
- ↑ Gutowski, P. R., E. A. Robinson, and S. Treitel, 1978, Spectral estimation, fact or fiction: IEEE Transactions on Geoscience Electronics, GE-16, 80–84.
- ↑ Treitel, S., and E. A. Robinson, 1981, Maximum entropy spectral decomposition of a seismogram into its minimum entropy component plus noise: Geophysics, 46, 1108–1115.
- ↑ Haykin, S., S. Kesler, and E. A. Robinson, 1983, Recent advances in spectral estimation, in S. Haykin, ed., Nonlinear methods of spectral analysis, 2nd ed.: Topics in Applied Physics, no. 34, Springer, 245–260.
- ↑ Rosa, A. L. R., and T. J. Ulrych, 1991, Processing via spectral modeling: Geophysics, 56, 1244–1251.
- ↑ Sacchi, M. D., and T. J. Ulrych, 1996, Estimation of the discrete Fourier transform, a linear inversion approach: Geophysics, 61, 1128–1136.
- ↑ Ulrych, T., 2008, The role of amplitude and phase in processing and inversion: SEG Distinguished Lecture Program, 2008, <http://ce.seg.org/dl/spring2008/index.shtml> accessed 22 March 2008.