메뉴 건너뛰기




Volumn 141, Issue 1, 2000, Pages 25-42

Autoregressive estimation of the splitting matrix of free-oscillation multiplets

Author keywords

Free oscillations; Mode coupling; Mode splitting

Indexed keywords

DATA PROCESSING; SEISMIC ANISOTROPY; SEISMIC DATA;

EID: 0034054457     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.2000.00058.x     Document Type: Article
Times cited : (37)

References (39)
  • 1
    • 84977257727 scopus 로고
    • The normal modes of a rotating, elliptical earth, Gcophys
    • Dahlen, F.A., 1968. The normal modes of a rotating, elliptical earth, Gcophys. J. R. astr. Soc., 16, 329-367.
    • (1968) J. R. Astr. Soc. , vol.16 , pp. 329-367
    • Dahlen, F.A.1
  • 2
    • 0020426602 scopus 로고
    • The effect of data windows on the estimation of free oscillation parameters, Geophys
    • Dahlen, F.A., 1982. The effect of data windows on the estimation of free oscillation parameters, Geophys. J. R. astr. Soc., 69, 537-549.
    • (1982) J. R. Astr. Soc. , vol.69 , pp. 537-549
    • Dahlen, F.A.1
  • 4
    • 0040471978 scopus 로고
    • Solution to the complex eigenproblem by a norm reducing Jacobi type method
    • Eberlein, P.J., 1970. Solution to the complex eigenproblem by a norm reducing Jacobi type method, Num. Math., 14,232-245.
    • (1970) Num. Math. , vol.14 , pp. 232-245
    • Eberlein, P.J.1
  • 5
    • 0003242435 scopus 로고
    • The jackknife, the bootstrap and other resampling plans
    • Efron, B., 1982. The jackknife, the bootstrap and other resampling plans, SIAM, Series in Applied Mathematics, 38.
    • (1982) SIAM, Series in Applied Mathematics , pp. 38
    • Efron, B.1
  • 6
    • 0023108338 scopus 로고
    • Three-dimensional structure of the earth from splitting in free oscillation spectra
    • Giardini, D., Li, X.-D. & Woodhouse, J.H., 1987. Three-dimensional structure of the earth from splitting in free oscillation spectra Nature, 325,40511.
    • (1987) Nature , vol.325 , pp. 40511
    • Giardini, D.1    Li, X.-D.2    Woodhouse, J.H.3
  • 7
    • 0024228592 scopus 로고
    • Splitting functions of long period normal modes of the earth
    • Giardini, D., Li, X.-D. & Woodhouse, J.H., 1988. Splitting functions of long period normal modes of the earth, J. geophys. Res., 93, 13716-13742.
    • (1988) J. Geophys. Res. , vol.93 , pp. 13716-13742
    • Giardini, D.1    Li, X.-D.2    Woodhouse, J.H.3
  • 8
    • 84984525020 scopus 로고
    • The diagonal sum rule and averaged eigenfrequencies
    • Gilbert, F., 1971. The diagonal sum rule and averaged eigenfrequencies, Geophys. J. R. astr. Soc., 23, 119-123.
    • (1971) Geophys. J. R. Astr. Soc. , vol.23 , pp. 119-123
    • Gilbert, F.1
  • 9
    • 0000191724 scopus 로고
    • An application of normal mode theory to the retrieval of structural parameters and source mechanisms from seismic spectra, Phil
    • Gilbert, F. & Dziewonski, A.M., 1975. An application of normal mode theory to the retrieval of structural parameters and source mechanisms from seismic spectra, Phil. Trans. R. Soc. Land., A278, 187-269.
    • (1975) Trans. R. Soc. Land., a , vol.278 , pp. 187-269
    • Gilbert, F.1    Dziewonski, A.M.2
  • 10
    • 0033949205 scopus 로고    scopus 로고
    • Determination of structure coefficients from splitting matrices, Geophys
    • Gilbert, F. & Woodhouse, J.H., 2000. Determination of structure coefficients from splitting matrices, Geophys. J. Int., 141.
    • (2000) J. Int. , pp. 141
    • Gilbert, F.1    Woodhouse, J.H.2
  • 11
    • 0002626016 scopus 로고
    • Singular value decompositions and least squares solutions
    • eds
    • Golub, G.H. & Reinsch, C, 1971. Singular value decompositions and least squares solutions, Linear Algebra, pp. 134-151, eds
    • (1971) Linear Algebra , pp. 134-151
    • Golub, G.H.1    Reinsch, C.2
  • 12
    • 33847561156 scopus 로고    scopus 로고
    • Wilkinson, J.H. & Reinsch, C., Springer Verlag, New York.
    • Wilkinson, J.H. & Reinsch, C., Springer Verlag, New York.
  • 13
    • 0004236492 scopus 로고
    • Johns Hopkins University Press, Baltimore, MD.
    • Golub, G.H. & VanLoan, C.R., 1983. Matrix Computations, Johns Hopkins University Press, Baltimore, MD.
    • (1983) Matrix Computations
    • Golub1    VanLoan2
  • 14
    • 0017851927 scopus 로고
    • On the use of windows for harmonic analysis with the discrete Fourier transform
    • Harris, F., 1978. On the use of windows for harmonic analysis with the discrete Fourier transform, Proc. IEEE, 66, 51-83.
    • (1978) Proc. IEEE , vol.66 , pp. 51-83
    • Harris, F.1
  • 15
    • 0030430828 scopus 로고    scopus 로고
    • Normal mode constraints on the structure of the Earth
    • He, X. & Tromp, J., 1996. Normal mode constraints on the structure of the Earth, J. geophys. Res., 101, 20053-20082.
    • (1996) J. Geophys. Res. , vol.101 , pp. 20053-20082
    • He, X.1    Tromp, J.2
  • 16
    • 0024898060 scopus 로고
    • Multiplet coupling of the normal modes of an elliptical, transversely isotropic
    • Henson, I.H., 1989. Multiplet coupling of the normal modes of an elliptical, transversely isotropic, Earth Geophys. J. Int., 98, 457-459.
    • (1989) Earth Geophys. J. Int. , vol.98 , pp. 457-459
    • Henson, I.H.1
  • 17
    • 84984503236 scopus 로고
    • Interpretation of inaccurate, insufficiet and inconsistent data
    • Jackson, D.D., 1972. Interpretation of inaccurate, insufficiet and inconsistent data, Geophys. J. R. astr. Soc.. 28, 97-109.
    • (1972) Geophys. J. R. Astr. Soc.. , vol.28 , pp. 97-109
    • Jackson, D.D.1
  • 19
    • 0033523965 scopus 로고    scopus 로고
    • Limits on differential rotation of the inner core from an analysis of Earth's free oscillations
    • Laske, G. & Masters, G., 1999. Limits on differential rotation of the inner core from an analysis of Earth's free oscillations, Nature, 402, 66-68.
    • (1999) Nature , vol.402 , pp. 66-68
    • Laske, G.1    Masters, G.2
  • 20
    • 0026000078 scopus 로고
    • Large-scale, three-dimensional, even degree structure of the Earth from splitting of long-period normal modes
    • Li, X.-D., Giardini, D. & Woodhouse, J.H., 1991. Large-scale, three-dimensional, even degree structure of the Earth from splitting of long-period normal modes, J. geophys. Res., 96, 551-577.
    • (1991) J. Geophys. Res. , vol.96 , pp. 551-577
    • Li, X.-D.1    Giardini, D.2    Woodhouse, J.H.3
  • 21
    • 84986349406 scopus 로고
    • Multiple-taper spectral analysis of terrestrial free oscillations: Part II, Geophys
    • Lindberg, C.R. & Park, J., 1987. Multiple-taper spectral analysis of terrestrial free oscillations: Part II, Geophys. J. R. astr. Soc., 91, 795-836.
    • (1987) J. R. Astr. Soc. , vol.91 , pp. 795-836
    • Lindberg, C.R.1    Park, J.2
  • 22
    • 0030470391 scopus 로고    scopus 로고
    • A shear velocity model of the mantle, Phil
    • Masters, G., Johnson, S., Laske, G. & Bolton, H., 1996. A shear velocity model of the mantle, Phil. Trans. R. Soc. Land., A354, 1385-1411.
    • (1996) Trans. R. Soc. Land., a , vol.354 , pp. 1385-1411
    • Masters, G.1    Johnson, S.2    Laske3    Bolton4
  • 23
    • 0000359725 scopus 로고
    • Coupled free oscillations of an aspherical dissipative rotating earth: Galerkin theory
    • Park, J. & Gilbert, F., 1986. Coupled free oscillations of an aspherical dissipative rotating earth: Galerkin theory, J. geophys. Res., 91, 7241-7260.
    • (1986) J. Geophys. Res. , vol.91 , pp. 7241-7260
    • Park, J.1    Gilbert, F.2
  • 24
    • 0029526412 scopus 로고
    • Constraining odd-degree mantle structure with normal modes
    • Resovsky, J.S. & Ritzwoller, M.H., 1995. Constraining odd-degree mantle structure with normal modes, Geophys. Res. Lett, 22, 2301-2304.
    • (1995) Geophys. Res. Lett , vol.22 , pp. 2301-2304
    • Resovsky, J.S.1    Ritzwoller, M.H.2
  • 25
    • 0001357857 scopus 로고    scopus 로고
    • New and refined constraints on three-dimensional Earth structure from normal modes below 3 mHz,y
    • Resovsky, J.S. & Ritzwoller, M.H., 1998. New and refined constraints on three-dimensional Earth structure from normal modes below 3 mHz,y. geophys. Res, 103, 783-810.
    • (1998) Geophys. Res , vol.103 , pp. 783-810
    • Resovsky, J.S.1    Ritzwoller, M.H.2
  • 26
    • 0000017591 scopus 로고
    • Observations of anomalous splitting and their interpretation in terms of aspherical structure, J. geophys
    • Ritzwoller, M., Masters, G. & Gilbert, F., 1986. Observations of anomalous splitting and their interpretation in terms of aspherical structure, J. geophys. Res., 91,10203-10228.
    • (1986) Res. , vol.91 , pp. 10203-10228
    • Ritzwoller, M.1    Masters, G.2    Gilbert, F.3
  • 27
    • 0000525398 scopus 로고
    • Constraining aspherical structure with low frequency interaction coefficients: Application to uncoupled multiplets
    • Ritzwoller, M., Masters, G. & Gilbert, F., 1988. Constraining aspherical structure with low frequency interaction coefficients: application to uncoupled multiplets, J. geophys. Res., 93, 6369-6396.
    • (1988) J. Geophys. Res. , vol.93 , pp. 6369-6396
    • Ritzwoller, M.1    Masters, G.2    Gilbert, F.3
  • 28
    • 0032431811 scopus 로고    scopus 로고
    • Investigation of time dependent inner core structure by the analysis of free oscillation spectra
    • Sharrock, D.S. & Woodhouse, J.H., 1998. Investigation of time dependent inner core structure by the analysis of free oscillation spectra, Earth Planets Space, 50,1013-1018.
    • (1998) Earth Planets Space , vol.50 , pp. 1013-1018
    • Sharrock, D.S.1    Woodhouse, J.H.2
  • 29
    • 0020189541 scopus 로고
    • Spectrum estimation and harmonic analysis
    • Thomson, D.J., 1982. Spectrum estimation and harmonic analysis, lEEEProc., 70, 1055-1096.
    • (1982) LEEEProc. , vol.70 , pp. 1055-1096
    • Thomson, D.J.1
  • 30
    • 0004261954 scopus 로고    scopus 로고
    • Recent advances in total least squares techniques and errors-in-variables modeling
    • Philadelphia
    • van HufTel, S., 1997. Recent advances in total least squares techniques and errors-in-variables modeling, Proc 2nd Int. Workshop on TLS, SIAM, Philadelphia,
    • (1997) Proc 2nd Int. Workshop on TLS, SIAM
    • Huftel, S.1
  • 31
    • 0003297912 scopus 로고
    • The total least squares problem: Computational aspects and analysis
    • SIAM, Philadelphia.
    • van Huflel, S. & Vandewalle, J., 1991. The total least squares problem: computational aspects and analysis, Frontiers in Applied Mathematics, Vol. 9, SIAM, Philadelphia.
    • (1991) Frontiers in Applied Mathematics , vol.9
    • Huflel, S.1    Vandewalle, J.2
  • 32
    • 0027043366 scopus 로고
    • Observably split multiplets-data analysis and interpretation in terms of large-scale aspherical structure
    • Widmer, R., Masters, G. & Gilbert, F., 1992. Observably split multiplets-data analysis and interpretation in terms of large-scale aspherical structure, Geophys. J. Int., Ill, 559-576.
    • (1992) Geophys. J. Int., Ill , pp. 559-576
    • Widmer, R.1    Masters, G.2    Gilbert, F.3
  • 34
    • 0019203969 scopus 로고
    • The coupling and attenuation of nearly resonant multiplets in the earth's free oscillation spectrum
    • Woodhouse, J.H., 1980. The coupling and attenuation of nearly resonant multiplets in the earth's free oscillation spectrum, Geophys. J. R. astr. Soc.. 61, 261-283.
    • (1980) Geophys. J. R. Astr. Soc.. , vol.61 , pp. 261-283
    • Woodhouse, J.H.1
  • 35
    • 84980258165 scopus 로고
    • The effect of a general aspherical perturbation on the free oscillations of the earth
    • Woodhouse, J.H. & Dahlen, F.A., 1978. The effect of a general aspherical perturbation on the free oscillations of the earth, Geophys. J. R. astr. Soc., 53, 335-354.
    • (1978) Geophys. J. R. Astr. Soc. , vol.53 , pp. 335-354
    • Woodhouse, J.H.1    Dahlen, F.A.2
  • 36
    • 0021644879 scopus 로고
    • Mapping of the upper mantle: Three-dimensional modeling of earth structure by inversion of seismic waveforms
    • Woodhouse, J.H. & Dziewonski, A.M., 1984. Mapping of the upper mantle: three-dimensional modeling of earth structure by inversion of seismic waveforms, J. geophys. Res., 89, 5953-5986.
    • (1984) J. Geophys. Res. , vol.89 , pp. 5953-5986
    • Woodhouse, J.H.1    Dziewonski, A.M.2
  • 37
    • 0003622604 scopus 로고
    • Inversion for the splitting function of isolated low order normal mode multiplets
    • Woodhouse, J.H. & Giardini, D., 1985. Inversion for the splitting function of isolated low order normal mode multiplets, EOS, Trans. Am. geophys. Un., 66, 300.
    • (1985) EOS, Trans. Am. Geophys. Un. , vol.66 , pp. 300
    • Woodhouse, J.H.1    Giardini, D.2
  • 38
    • 0020427143 scopus 로고
    • Surface waves and free oscillations in a regionalized earth model
    • Woodhouse, J.H. & Girnius, T.P., 1982. Surface waves and free oscillations in a regionalized earth model, Geophys. J. R. astr. Soc., 68, 653-673.
    • (1982) Geophys. J. R. Astr. Soc. , vol.68 , pp. 653-673
    • Woodhouse, J.H.1    Girnius, T.P.2
  • 39
    • 0029481453 scopus 로고
    • On noise reduction in vertical seismic records below 2 mHz using local barometric pressure
    • Zürn, W. & Widmer, R., 1995. On noise reduction in vertical seismic records below 2 mHz using local barometric pressure, Geophys. Res. Lett., 22, 3537-3540.
    • (1995) Geophys. Res. Lett. , vol.22 , pp. 3537-3540
    • Zürn, W.1    Widmer, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.