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Parameter Estimation Theory Bounds and the Accuracy of Full Field Inversions

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Full Field Inversion Methods in Ocean and Seismo-Acoustics

Part of the book series: Modern Approaches in Geophysics ((MAGE,volume 12))

Abstract

The Cramer-Rao parameter estimation bounds are derived to evaluate limits on the attainable accuracy for full field inversions. These bounds are applied to several inversion scenarios: i) matched field tomography for both narrowband and broadband signals, ii) broadband, full field tomography for coherent signals and iii) noise tomography. In the case of adiabatic propagation with a mode resolving receiver array these bounds specify the performance limits for full field inversions by both matched field and ocean acoustic tomography and they can be expressed in terms of the phase and group slownesses of the propagation and the mode functions at the source.

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References

  1. Menke, W., Geophysical Data Analysis: Discrete Inverse Theory, Revised Edition, Academic Press, Inc., 1985

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  2. Worcester, P.F., Cornuelle, B.D., and Spindel, R.C., “A review of ocean acoustic tomography: 1987 – 1990,” Reviews of Geophysics Supplement, pp. 557–570, April 1991

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  3. Baggeroer, A.B., Kuperman, W.A., and Mikhalevsky, P.N., “An overview of matched field processing in ocean acoustics,” Ieee Journal of Oceanic Engineering, 18(4), pp. 401–424, October 1993

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  4. van Trees, H.L., Detection, Estimation and Modulation Theory, Part III, John Wiley and Sons, 1972

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  5. Jensen, F.B., Kuperman, W.A., Porter, M.B., Schmidt, H., Computational Ocean Acoustics, American Inst. of Physics Press, New York, 1994

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  6. Schmidt, H. and Baggeroer, A.B.,”Physics-imposed resolution and robustness issues in seismoacoustic parameter inversion,” Nato Conference on Full Field Inversion Methods in Ocean and Seismic Acoustics (this meeting)

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  7. Borodin, V.A., personal communication

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© 1995 Springer Science+Business Media Dordrecht

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Baggeroer, A.B., Schmidt, H. (1995). Parameter Estimation Theory Bounds and the Accuracy of Full Field Inversions. In: Diachok, O., Caiti, A., Gerstoft, P., Schmidt, H. (eds) Full Field Inversion Methods in Ocean and Seismo-Acoustics. Modern Approaches in Geophysics, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8476-0_13

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  • DOI: https://doi.org/10.1007/978-94-015-8476-0_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4545-4

  • Online ISBN: 978-94-015-8476-0

  • eBook Packages: Springer Book Archive

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