Research output: Contribution to journal › Article › peer-review
Alguns Aspectos do Desenvolvimento do Método de Filtragem de Prony. / de Oliveira, Igor B.; Mitrofanov, Georgy M.; Priimenko, Viatcheslav I. et al.
In: Revista Brasileira de Geofisica, Vol. 39, No. 1, 2021, p. 147-158.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Alguns Aspectos do Desenvolvimento do Método de Filtragem de Prony
AU - de Oliveira, Igor B.
AU - Mitrofanov, Georgy M.
AU - Priimenko, Viatcheslav I.
AU - Freires, João Carlos P.S.
N1 - Funding Information: The authors would like to thank the Laboratory of Engineering and Exploration of Petroleum of the State University of Norte Fluminense Darcy Ribeiro, RJ, Brazil, for creating conditions for this work. Publisher Copyright: © 2021 Brazilian Geophysical Society.
PY - 2021
Y1 - 2021
N2 - Decomposition based on the Prony transform is widely used to solve various engineering and scientific problems, representing a discrete dataset in the form of a linear combination of complex exponentials or damped sinusoids. Each of these functions is determined by four real parameters: amplitude, attenuation, frequency and phase. In this article, we propose a new workflow, based on the classic Prony and Matrix Pencil methods to determine the damped signals considering their locality and frequency heterogeneity. After estimating the parameters a certain procedure is constructed. This procedure selects the parameters using different criteria and can be called as Prony filtering. We have demonstrated the capabilities of the proposed algorithms and workflow, which provide an optimal set of damped terms for the Prony decomposition for an arbitrary window. The results obtained show good accuracy in the selection of the decomposition components and posterior approximation of damped signals. The accuracy of the results is guaranteed by the quasi-orthogonality of the basis functions of the Prony decomposition on finite intervals.
AB - Decomposition based on the Prony transform is widely used to solve various engineering and scientific problems, representing a discrete dataset in the form of a linear combination of complex exponentials or damped sinusoids. Each of these functions is determined by four real parameters: amplitude, attenuation, frequency and phase. In this article, we propose a new workflow, based on the classic Prony and Matrix Pencil methods to determine the damped signals considering their locality and frequency heterogeneity. After estimating the parameters a certain procedure is constructed. This procedure selects the parameters using different criteria and can be called as Prony filtering. We have demonstrated the capabilities of the proposed algorithms and workflow, which provide an optimal set of damped terms for the Prony decomposition for an arbitrary window. The results obtained show good accuracy in the selection of the decomposition components and posterior approximation of damped signals. The accuracy of the results is guaranteed by the quasi-orthogonality of the basis functions of the Prony decomposition on finite intervals.
KW - Damped signals
KW - Matrix Pencil method
KW - Prony’s method
KW - Signal fitting
UR - http://www.scopus.com/inward/record.url?scp=85132916637&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/492ea6eb-5610-32c4-ac9c-6f3a71d9f7d4/
U2 - 10.22564/RBGF.V39I1.2092
DO - 10.22564/RBGF.V39I1.2092
M3 - статья
AN - SCOPUS:85132916637
VL - 39
SP - 147
EP - 158
JO - Revista Brasileira de Geofisica
JF - Revista Brasileira de Geofisica
SN - 0102-261X
IS - 1
ER -
ID: 36494845