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dc.contributor.authorKirby, Jonathan
dc.date.accessioned2017-01-30T12:32:19Z
dc.date.available2017-01-30T12:32:19Z
dc.date.created2009-03-05T00:56:49Z
dc.date.issued2005
dc.identifier.citationKirby, Jonathan. 2005. Which Wavelet Best Reproduces the Fourier Power Spectrum? Computers and Geosciences. 31 (7): pp. 846-864.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/22577
dc.identifier.doi10.1016/j.cageo.2005.01.014
dc.description.abstract

The article compares the radially averaged Fourier power spectrum against the global wavelet power spectrum ('global scalogram') for seven continuous, two-dimensional wavelets: Derivative of Gaussian, Halo, Morlet, Paul, Perrier and Poisson wavelets, and a new wavelet based on a superposition of rotated Morlet wavelets, named the 'Fan' wavelet. This wavelet is complex, yet is able to give quasi-isotropic wavelet phase spectra. All seven wavelets were applied to synthetic and real data to test their ability to reproduce the Fourier spectrum: the Fan, Halo and Morlet wavelets reproduced this spectrum exactly; the Poisson wavelet performed very poorly. However, in tests of the space domain resolution of these wavelets with real and synthetic data, the Poisson wavelet gave by far the best results.

dc.publisherPergamon
dc.subjectIsotropic wavelets
dc.subjectContinuous wavelet transform
dc.subjectFourier transform
dc.titleWhich Wavelet Best Reproduces the Fourier Power Spectrum?
dc.typeJournal Article
dcterms.source.volume31
dcterms.source.startPage846
dcterms.source.endPage864
dcterms.source.issn00983004
dcterms.source.titleComputers and Geosciences
curtin.note

The link to the journal's home page is: "http://www.elsevier.com/wps/find/journaldescription.cws_home/622273/description#description" Copyright © 2005 Elsevier B.V. All rights reserved

curtin.note

NOTICE: this is the author’s version of a work that was accepted for publication in Computers and Geosciences. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computers and Geosciences, [VOL31, ISSUE7, (2005)] http://dx.doi.org/10.1016/j.cageo.2005.01.014

curtin.accessStatusOpen access
curtin.facultyDepartment of Spatial Sciences
curtin.facultyFaculty of Science and Engineering
curtin.facultyWA School of Mines


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