Alguns Aspectos do Desenvolvimento do Método de Filtragem de Prony

Igor B. de Oliveira, Georgy M. Mitrofanov, Viatcheslav I. Priimenko, João Carlos P.S. Freires

Результат исследования: Научные публикации в периодических изданияхстатьярецензирование

Аннотация

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.

Переведенное названиеSome Aspects of the Development of the Prony Filtering Method
Язык оригиналапортугальский
Страницы (с-по)147-158
Число страниц12
ЖурналRevista Brasileira de Geofisica
Том39
Номер выпуска1
DOI
СостояниеОпубликовано - 2021

Предметные области OECD FOS+WOS

  • 1.05.GC ГЕОХИМИЯ И ГЕОФИЗИКА

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