# 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.