메뉴 건너뛰기




Volumn 167, Issue 3, 2006, Pages 1188-1203

Separating inner and outer Earth's magnetic field from CHAMP satellite measurements by means of vector scaling functions and wavelets

Author keywords

Geomagnetism; Integral transforms; Ionosphere; Numerical techniques

Indexed keywords

GEOMAGNETISM; MAGNETIC FIELD; MODELING; NUMERICAL MODEL; SATELLITE DATA; TRANSFORM; VECTOR; WAVELET ANALYSIS;

EID: 33845344341     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2006.03199.x     Document Type: Article
Times cited : (31)

References (32)
  • 1
    • 0022887205 scopus 로고
    • Poloidal and toroidal fields in geomagnetic field modeling
    • Backus, G.E., 1986. Poloidal and toroidal fields in geomagnetic field modeling, Rev. Geophys., 24, 75-109.
    • (1986) Rev. Geophys. , vol.24 , pp. 75-109
    • Backus, G.E.1
  • 3
    • 0142225347 scopus 로고    scopus 로고
    • Geomagnetic field modelling from satellite data by first and second generation vector wavelets
    • PhD thesis, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany
    • Bayer, M., 2000. Geomagnetic field modelling from satellite data by first and second generation vector wavelets. PhD thesis, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany.
    • (2000)
    • Bayer, M.1
  • 4
    • 0032447466 scopus 로고    scopus 로고
    • Geophysical field modelling by multiresolution analysis
    • Bayer, M., Beth, S. & Freeden, W., 1998. Geophysical field modelling by multiresolution analysis. Acta Geod. Geoph. Hung., 33 (2-4), 289-319.
    • (1998) Acta Geod. Geoph. Hung. , vol.33 , Issue.2-4 , pp. 289-319
    • Bayer, M.1    Beth, S.2    Freeden, W.3
  • 5
    • 0142225346 scopus 로고    scopus 로고
    • Multiscale approximation by vector radial basis functions on the sphere
    • PhD thesis, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, Shaker, Aachen
    • Beth, S., 2000. Multiscale approximation by vector radial basis functions on the sphere, PhD thesis, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, Shaker, Aachen.
    • (2000)
    • Beth, S.1
  • 6
    • 33745231171 scopus 로고    scopus 로고
    • Wavelet frames an alternative to spherical harmonic representation of potential fields
    • doi:
    • Chambodut, A., Panet, I., Mandea, M., Diament, M. & Holschneider, M., 2005. Wavelet frames an alternative to spherical harmonic representation of potential fields, J. Geophys. Int., 163, 875-899, doi:.
    • (2005) J. Geophys. Int. , vol.163 , pp. 875-899
    • Chambodut, A.1    Panet, I.2    Mandea, M.3    Diament, M.4    Holschneider, M.5
  • 8
    • 0000273884 scopus 로고
    • Computing Fourier transforms and convolutions on the 2-sphere
    • Driscoll, J.R. & Healy, D.M., 1994. Computing Fourier transforms and convolutions on the 2-sphere, Adv. Appl. Math., 15, 202-250.
    • (1994) Adv. Appl. Math. , vol.15 , pp. 202-250
    • Driscoll, J.R.1    Healy, D.M.2
  • 10
    • 0005475361 scopus 로고    scopus 로고
    • The uncertainty principle and its role in physical geodesy
    • in ed. Freeden, W., Shaker, Aachen
    • Freeden, W., 1998. The uncertainty principle and its role in physical geodesy, in Progress in Geodetic Science, pp. 225-236, ed. Freeden, W., Shaker, Aachen.
    • (1998) Progress in Geodetic Science , pp. 225-236
    • Freeden, W.1
  • 12
    • 0142153111 scopus 로고    scopus 로고
    • Spectral and multiscale signal-to-noise thresholding of spherical vector fields
    • Freeden, W. & Maier, T., 2003. Spectral and multiscale signal-to-noise thresholding of spherical vector fields, Comput. Geosci., 7 (3), 215-250.
    • (2003) Comput. Geosci. , vol.7 , Issue.3 , pp. 215-250
    • Freeden, W.1    Maier, T.2
  • 13
    • 0001126097 scopus 로고    scopus 로고
    • Regularization wavelets and multiresolution
    • Freeden, W. & Schneider, F., 1998. Regularization wavelets and multiresolution, Inverse Problems, 14, 225-243.
    • (1998) Inverse Problems , vol.14 , pp. 225-243
    • Freeden, W.1    Schneider, F.2
  • 14
    • 0041400176 scopus 로고
    • Allgemeine Theorie des Erdmagnetismus. Resultate aus den Beobachtungen des magnetischen Vereins im Jahre 1838 (English translation: General theory of terrestrial magnetism)
    • in ed. Taylor, R.J. and R.E. Taylor Pub., London
    • Gauss, C.F., 1841. Allgemeine Theorie des Erdmagnetismus. Resultate aus den Beobachtungen des magnetischen Vereins im Jahre 1838 (English translation: General theory of terrestrial magnetism), in Scientific Memoirs Selected from the Transactions of Foreign Academics of Science and Learned Societies and from Foreign Journals, Vol. 2, pp. 184-251, ed. Taylor, R.J. and R.E. Taylor Pub., London.
    • (1841) Scientific Memoirs Selected from the Transactions of Foreign Academics of Science and Learned Societies and from Foreign Journals , vol.2 , pp. 184-251
    • Gauss, C.F.1
  • 15
    • 5844426586 scopus 로고
    • Magnetfeldbeschreibung mit verallgemeinerten poloidalen und toroidalen skalaren
    • Gerlich, G., 1972. Magnetfeldbeschreibung mit verallgemeinerten poloidalen und toroidalen skalaren, Z. Naturforsch., 8, 1167-1172.
    • (1972) Z. Naturforsch. , vol.8 , pp. 1167-1172
    • Gerlich, G.1
  • 16
    • 0002123777 scopus 로고
    • An introduction to robust estimation
    • in eds Launer, G.N. & Wilkinson, R.L., Academic, San Diego, California
    • Hogg, R.V., 1979. An introduction to robust estimation, in Robustness in Statistics, pp. 1-17, eds Launer, G.N. & Wilkinson, R.L., Academic, San Diego, California.
    • (1979) Robustness in Statistics , pp. 1-17
    • Hogg, R.V.1
  • 17
    • 0037465164 scopus 로고    scopus 로고
    • From global to regional analysis of the magnetic field on the sphere using wavelet frames
    • Holschneider, M., Chambodut, A. & Mandea, M., 2003. From global to regional analysis of the magnetic field on the sphere using wavelet frames, Phys. Earth planet. Inter., 135, 107-124.
    • (2003) Phys. Earth Planet. Inter. , vol.135 , pp. 107-124
    • Holschneider, M.1    Chambodut, A.2    Mandea, M.3
  • 19
    • 33646767410 scopus 로고    scopus 로고
    • Introducing Localized Constraints in Global Geomagnetic Field Modelling
    • Lesur, V., 2006. Introducing Localized Constraints in Global Geomagnetic Field Modelling, Earth Planets Space, 58, 477-483.
    • (2006) Earth Planets Space , vol.58 , pp. 477-483
    • Lesur, V.1
  • 20
    • 10844294671 scopus 로고    scopus 로고
    • Multiscale geomagnetic field modelling from satellite data: Theoretical aspects and numerical application
    • PhD thesis, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany
    • Maier, T., 2003. Multiscale geomagnetic field modelling from satellite data: Theoretical aspects and numerical application, PhD thesis, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany.
    • (2003)
    • Maier, T.1
  • 21
    • 29144519429 scopus 로고    scopus 로고
    • Wavelet-MIE-representations for solenoidal vector fields with applications to ionospheric geomagnetic data
    • Maier, T., 2005. Wavelet-MIE-representations for solenoidal vector fields with applications to ionospheric geomagnetic data. SIAM J. Appl. Math., 65 (6), 1888-1912.
    • (2005) SIAM J. Appl. Math. , vol.65 , Issue.6 , pp. 1888-1912
    • Maier, T.1
  • 23
    • 0037101719 scopus 로고    scopus 로고
    • First scalar magnetic anomaly map from CHAMP satellite data indicates weak lithospheric field
    • doi:
    • Maus, S., Rother, M., Holme, R., Lühr, H., Olsen, N. & Haak, V., 2002. First scalar magnetic anomaly map from CHAMP satellite data indicates weak lithospheric field, Geophys. Res. Lett., 29 (14), doi:.
    • (2002) Geophys. Res. Lett. , vol.29 , Issue.14
    • Maus, S.1    Rother, M.2    Holme, R.3    Lühr, H.4    Olsen, N.5    Haak, V.6
  • 24
    • 33646002638 scopus 로고    scopus 로고
    • Earth's lithospheric magnetic field determined to spherical harmonic degree 90 from CHAMP satellite measurements
    • doi:
    • Maus, S., Rother, M., Hemant, K., Stolle, C., Lühr, H., Kuvshinov, A. & Olsen, N., 2006. Earth's lithospheric magnetic field determined to spherical harmonic degree 90 from CHAMP satellite measurements, Geophys. J. Int., doi:.
    • (2006) Geophys. J. Int.
    • Maus, S.1    Rother, M.2    Hemant, K.3    Stolle, C.4    Lühr, H.5    Kuvshinov, A.6    Olsen, N.7
  • 25
    • 10844238494 scopus 로고    scopus 로고
    • Wavelet modelling of ionospheric currents and induced magnetic fields from satellite data
    • PhD thesis, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany
    • Mayer, C., 2003. Wavelet modelling of ionospheric currents and induced magnetic fields from satellite data, PhD thesis, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany.
    • (2003)
    • Mayer, C.1
  • 26
    • 10844292152 scopus 로고    scopus 로고
    • A multiscale approximation for operator equations in separable Hilbert spaces-case study: Reconstruction and description of the Earth's interior habilitation
    • PhD thesis, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany
    • Michel, V., 2002. A multiscale approximation for operator equations in separable Hilbert spaces-case study: Reconstruction and description of the Earth's interior habilitation, PhD thesis, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany.
    • (2002)
    • Michel, V.1
  • 27
    • 10844284215 scopus 로고    scopus 로고
    • A unified setup of gravitational field observables
    • PhD thesis Geomathematics Group, Department of Mathematics, University of Kaiserslautern, Shaker, Aachen
    • Nutz, H., 2002. A unified setup of gravitational field observables, PhD thesis, Geomathematics Group, Department of Mathematics, University of Kaiserslautern, Shaker, Aachen.
    • (2002)
    • Nutz, H.1
  • 28
    • 33749333140 scopus 로고    scopus 로고
    • Ionospheric f region currents at middle and low latitudes estimated from Magsat data
    • Olsen, N., 1997. Ionospheric f region currents at middle and low latitudes estimated from Magsat data, J. geophys. Res., A, 3, 4563-4576.
    • (1997) J. Geophys. Res., A , vol.3 , pp. 4563-4576
    • Olsen, N.1
  • 29
    • 0004097813 scopus 로고    scopus 로고
    • A comprehensive model of the near-earth magnetic field: Phase 3
    • NASA/TM-2000-209894
    • Sabaka, T.J., Olsen, N. & Langel, R.A., 2000. A comprehensive model of the near-earth magnetic field: Phase 3, NASA/TM-2000-209894.
    • (2000)
    • Sabaka, T.J.1    Olsen, N.2    Langel, R.A.3
  • 30
    • 5844373472 scopus 로고
    • The poloidal-toroidal representation of solenoidal fields in spherical domains
    • Schmitt, B.J., 1995. The poloidal-toroidal representation of solenoidal fields in spherical domains, Analysis, 15, 257-277.
    • (1995) Analysis , vol.15 , pp. 257-277
    • Schmitt, B.J.1
  • 31
    • 33746171197 scopus 로고    scopus 로고
    • Spatiospectral concentration on a sphere
    • Simons, J. F., Dahlen, F.A. & Wieczorek, M.A., 2006. Spatiospectral concentration on a sphere, SIAM review, 48, 504-536.
    • (2006) SIAM Review , vol.48 , pp. 504-536
    • Simons, J.F.1    Dahlen, F.A.2    Wieczorek, M.A.3
  • 32
    • 30144440852 scopus 로고    scopus 로고
    • Localized spectral analysis on the sphere
    • doi:
    • Wieczorek, M.A. & Simons, F.J., 2005. Localized spectral analysis on the sphere. Geophys. J. Int., 162 (3), 655-675. doi:.
    • (2005) J. Int. , vol.162 , Issue.3 , pp. 655-675
    • Wieczorek, M.A.1    Simons, F.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.