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Estimation of the of seismic waves parameters
We consider a problem of estimation of the parameters of a seismic signal based on real observed data. For this purpose, we propose a new mathematical model that reduces the task to a nonlinear, nonsmooth, nonconvex minimization problem. Using a special structure of the signal, we also propose a n...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Видавничий дім "Академперіодика" НАН України
2014
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| Series: | Доповіді НАН України |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/86980 |
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| Summary: | We consider a problem of estimation of the parameters of a seismic signal based on real observed
data. For this purpose, we propose a new mathematical model that reduces the task to a nonlinear, nonsmooth, nonconvex minimization problem. Using a special structure of the signal, we
also propose a numerical algorithm of finding the solution of the optimization problem. Our
method is based on the combination of the Levenberg–Marquardt algorithm and a simulated
annealing type approach. We show the convergence of the algorithm and discuss the practical
implications, which lie in a good compatibility with real seismic data, and the applicability to experiments. |
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