Recent advances in wavelet analyses: Part 1. A review of concepts
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| Title: | Recent advances in wavelet analyses: Part 1. A review of concepts |
|---|---|
| Authors: | Labat, David1 labat@lmtg.obs-mip.fr |
| Source: | Journal of Hydrology. Nov2005, Vol. 314 Issue 1-4, p275-288. 14p. |
| Subjects: | Wavelets (Mathematics), Harmonic analysis (Mathematics), Hydrography, Hydrology |
| Abstract: | Abstract: This contribution provides a review of the most recent wavelet applications in the field of earth sciences and is devoted to introducing and illustrating new wavelet analysis methods in the field of hydrology. Wavelet analysis remains unknown in the field of hydrology even though it clearly overcomes the well-known limits of the classical Fourier analysis. New wavelet-based tools are proposed to hydrologists in order to make wavelet analysis more attractive. First, a multiresolution continuous wavelet analysis method is shown to significantly improve the determination of the temporal-scale structure of a given signal. Second, the concept of wavelet entropy in both continuous and multiresolution frameworks is introduced allowing for an estimation of the temporal evolution of a given hydrological or climatologic signal''s complexity. New insights in the scale-dependence of the relationship are exposed by introducing wavelet cross-correlation and wavelet coherence. Continuous wavelet cross-correlation provides a time–scale distribution of the correlation between two signals, whereas continuous wavelet coherence provides a qualitative estimator of the temporal evolution of the degree of linearity of the relationship between two signals on a given scale. These methods are applied to four large river runoffs and two global climatic indexes in a companion paper. [Copyright &y& Elsevier] |
| Copyright of Journal of Hydrology is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 19061955 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Recent advances in wavelet analyses: Part 1. A review of concepts – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Labat%2C+David%22">Labat, David</searchLink><relatesTo>1</relatesTo><i> labat@lmtg.obs-mip.fr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Hydrology%22">Journal of Hydrology</searchLink>. Nov2005, Vol. 314 Issue 1-4, p275-288. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Wavelets+%28Mathematics%29%22">Wavelets (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Harmonic+analysis+%28Mathematics%29%22">Harmonic analysis (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Hydrography%22">Hydrography</searchLink><br /><searchLink fieldCode="DE" term="%22Hydrology%22">Hydrology</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: This contribution provides a review of the most recent wavelet applications in the field of earth sciences and is devoted to introducing and illustrating new wavelet analysis methods in the field of hydrology. Wavelet analysis remains unknown in the field of hydrology even though it clearly overcomes the well-known limits of the classical Fourier analysis. New wavelet-based tools are proposed to hydrologists in order to make wavelet analysis more attractive. First, a multiresolution continuous wavelet analysis method is shown to significantly improve the determination of the temporal-scale structure of a given signal. Second, the concept of wavelet entropy in both continuous and multiresolution frameworks is introduced allowing for an estimation of the temporal evolution of a given hydrological or climatologic signal''s complexity. New insights in the scale-dependence of the relationship are exposed by introducing wavelet cross-correlation and wavelet coherence. Continuous wavelet cross-correlation provides a time–scale distribution of the correlation between two signals, whereas continuous wavelet coherence provides a qualitative estimator of the temporal evolution of the degree of linearity of the relationship between two signals on a given scale. These methods are applied to four large river runoffs and two global climatic indexes in a companion paper. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Hydrology is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=19061955 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.jhydrol.2005.04.003 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 275 Subjects: – SubjectFull: Wavelets (Mathematics) Type: general – SubjectFull: Harmonic analysis (Mathematics) Type: general – SubjectFull: Hydrography Type: general – SubjectFull: Hydrology Type: general Titles: – TitleFull: Recent advances in wavelet analyses: Part 1. A review of concepts Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Labat, David IsPartOfRelationships: – BibEntity: Dates: – D: 25 M: 11 Text: Nov2005 Type: published Y: 2005 Identifiers: – Type: issn-print Value: 00221694 Numbering: – Type: volume Value: 314 – Type: issue Value: 1-4 Titles: – TitleFull: Journal of Hydrology Type: main |
| ResultId | 1 |
