Journal : Acta Geophysica Polonica
Article : Determination of transfer function through solution in time domain

Authors :
Varotsos, P.
Solid Earth Physics Institute, University of Athens Panepistimiopolis, Athens, Greece, pvaro@otenet.gr,
Ernst, T.
Institute of Geophysics, Polish Academy of Sciences, Warszawa, Poland, RT@igf.edu.pl,
Teisseyre, R.
Institute of Geophysics, Polish Academy of Sciences, Warszawa, Poland, rt@igf.edu.pl,
Senatorski, P.
Institute of Geophysics, Polish Academy of Sciences, Warszawa, Poland, psenat@igf.edu.pl,
Gibowicz, S.
Institute of Geophysics, Polish Academy of Sciences, Warszawa, Poland, gibowicz@igf.edu.pl,
Dey, S.
Department of Applied Mathematics, Indian School of Mines, Dhanbad, India, d_sukhendu@hotmail.com,
Nagahama, H.
Institute of Geology and Paleontology, Graduate School of Sciences, Tohoku University, Sendai, Japan, nagahama@ges.tohoku.ac.jp,
Wielądek, R.
Institute of Geophysics, Polish Academy of Sciences, Warszawa, Poland, kn@igf.edu.pl,
Abstract : A new method of transfer function determination through solution in time domain is presented. As compared to the linear problem the proposed new formulation of the problem employs five instead of three sequences of unknowns. This makes it possible to bring the errors of adjusted observations closer to white noise and to improve the accuracy of transfer function approximation. In this formulation, however, the problem looses its linearity and one must use a nonlinear instead of linear method of least-squares. The authors propose an economical algorithm of the method of successive approximations. For finding the initial approximation, the use is made of the linear problem solution.

Keywords : time domain, transfer function,
Publishing house : Instytut Geofizyki PAN
Publication date : 2001
Number : Vol. 49, nr 1
Page : 131 – 142

Bibliography
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DOI :
Qute : Varotsos, P. ,Ernst, T. ,Teisseyre, R. ,Senatorski, P. ,Gibowicz, S. ,Dey, S. ,Nagahama, H. ,Wielądek, R. ,Wielądek, R. , Determination of transfer function through solution in time domain. Acta Geophysica Polonica Vol. 49, nr 1/2001
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