Two-dimensional EMD with shape-preserving spline interpolation

• Autorzy: Brown Wesley G. , Walt Maria D. van der

Identyfikatory

DOI

10.1515/jaa-2022-1002

• Języki publikacji: EN

Abstrakty

EN

Empirical mode decomposition (EMD) is a popular, user-friendly, data-driven algorithm to decompose a given (non-stationary) signal into its constituting components, utilizing spline interpolation. This algorithm was first proposed in 1998 in the one-dimensional setting, and it employed standard cubic spline interpolation. Since then, different two-dimensional extensions of EMD have been proposed. In this paper, we consider one of these two-dimensional extensions and adapt it to use a shape-preserving interpolation scheme based on quadratic B-splines, ensuring that monotonicity and concavity in the input data are preserved. Using multiple numerical experiments, we show that this new scheme outperforms the original EMD, both qualitatively and quantitatively.

Słowa kluczowe

EN

empirical mode decomposition; interpolation; shape-preserving; two-dimensional; spline

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2023
• Tom: Vol. 29, nr 2
• Strony: 287--296
• Opis fizyczny: Bibliogr. 15 poz., il. kolor., 1 fot., wykr.

Twórcy

autor

Brown Wesley G.

• Department of Mathematics and Computer Science, Westmont College, Santa Barbara, CA 93108, USA

autor

Walt Maria D. van der

• Department of Mathematics and Computer Science, Westmont College, Santa Barbara, CA 93108, USA

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).