Astronomical component estimation (ACE v.1) by time-variant sinusoidal modeling

Sinnesael, Matthias; Zivanovic, Miroslav; Vleeschouwer, David De; Claeys, Philippe; Schoukens, Johan

Publication:
Astronomical component estimation (ACE v.1) by time-variant sinusoidal modeling

dc.contributor.author	Sinnesael, Matthias
dc.contributor.author	Zivanovic, Miroslav
dc.contributor.author	Vleeschouwer, David De
dc.contributor.author	Claeys, Philippe
dc.contributor.author	Schoukens, Johan
dc.contributor.department	Ingeniería Eléctrica y Electrónica	es_ES
dc.contributor.department	Ingeniaritza Elektrikoa eta Elektronikoa	eu
dc.date.accessioned	2018-09-04T06:43:55Z
dc.date.available	2018-09-04T06:43:55Z
dc.date.issued	2016
dc.description.abstract	Accurately deciphering periodic variations in paleoclimate proxy signals is essential for cyclostratigraphy. Classical spectral analysis often relies on methods based on (fast) Fourier transformation. This technique has no unique solution separating variations in amplitude and frequency. This characteristic can make it difficult to correctly interpret a proxy's power spectrum or to accurately evaluate simultaneous changes in amplitude and frequency in evolutionary analyses. This drawback is circumvented by using a polynomial approach to estimate instantaneous amplitude and frequency in orbital components. This approach was proven useful to characterize audio signals (music and speech), which are non-stationary in nature. Paleoclimate proxy signals and audio signals share similar dynamics; the only difference is the frequency relationship between the different components. A harmonic-frequency relationship exists in audio signals, whereas this relation is non-harmonic in paleoclimate signals. However, this difference is irrelevant for the problem of separating simultaneous changes in amplitude and frequency. Using an approach with overlapping analysis frames, the model (Astronomical Component Estimation, version 1: ACE v.1) captures time variations of an orbital component by modulating a stationary sinusoid centered at its mean frequency, with a single polynomial. Hence, the parameters that determine the model are the mean frequency of the orbital component and the polynomial coefficients. The first parameter depends on geologic interpretations, whereas the latter are estimated by means of linear least-squares. As output, the model provides the orbital component waveform, either in the depth or time domain. Uncertainty analyses of the model estimates are performed using Monte Carlo simulations. Furthermore, it allows for a unique decomposition of the signal into its instantaneous amplitude and frequency. Frequency modulation patterns reconstruct changes in accumulation rate, whereas amplitude modulation identifies eccentricity-modulated precession. The functioning of the time-variant sinusoidal model is illustrated and validated using a synthetic insolation signal. The new modeling approach is tested on two case studies: (1) a Pliocene–Pleistocene benthic δ18O record from Ocean Drilling Program (ODP) Site 846 and (2) a Danian magnetic susceptibility record from the Contessa Highway section, Gubbio, Italy.	en
dc.description.sponsorship	Matthias Sinnesael thanks the Research Foundation – Flanders (FWO) for the awarded PhD fellowship (FWOTM782). David De Vleeschouwer was funded through European Research Council (ERC) Consolidator Grant “Earthsequencing” (grant agreement no. 617462). This work was supported in part by the Fund for Scientific Research (FWO-Vlaanderen grant G009113N and support to Johan Schoukens), by the Flemish Government (Methusalem METH1 to Johan Schoukens), and by the Belgian Government through the Inter University Pole of Attraction (IUAP VII) Program (P7/15 PLANET TOPERS and P7/19 DYSCO).	en
dc.format.extent	15 p.
dc.format.mimetype	application/pdf	en
dc.format.mimetype	application/zip	en
dc.identifier.doi	10.5194/gmd-9-3517-2016
dc.identifier.issn	1991-959X (Print)
dc.identifier.issn	1991-9603 (Electronic)
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/30454
dc.language.iso	eng	en
dc.publisher	Copernicus Publications	en
dc.relation.ispartof	Geoscientific Model Development, 9, 3517–3531, 2016	en
dc.relation.publisherversion	https://doi.org/10.5194/gmd-9-3517-2016
dc.rights	© Author(s) 2016. This work is distributed under the Creative Commons Attribution 3.0 License.	en
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.rights.uri	https://creativecommons.org/licenses/by/3.0/
dc.subject	Astronomical component estimation (ACE v.1)	en
dc.subject	Time-variant sinusoidal modeling	en
dc.title	Astronomical component estimation (ACE v.1) by time-variant sinusoidal modeling	en
dc.type	info:eu-repo/semantics/article
dc.type.version	info:eu-repo/semantics/publishedVersion	en
dc.type.version	Versión publicada / Argitaratu den bertsioa	es
dspace.entity.type	Publication
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