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One or two frequencies? The Iterative Filtering answers

Antonio Cicone, Stefano Serra-Capizzano and Haomin Zhou

Applied Mathematics and Computation, 2024, vol. 462, issue C

Abstract: The Iterative Filtering method is a technique aimed at the decomposition of non-stationary and non-linear signals into simple oscillatory components. This method, proposed a decade ago as an alternative technique to the Empirical Mode Decomposition, has been used extensively in many applied fields of research and studied, from a mathematical point of view, in several papers published in the last few years. However, even if its convergence and stability are now established both in the continuous and discrete setting, it is still an open problem to understand up to what extent this approach can separate two close-by frequencies contained in a signal.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:462:y:2024:i:c:s0096300323004915

DOI: 10.1016/j.amc.2023.128322

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