Wavelet decomposition of forced turbulence: Applicability of the iterative Donoho-Johnstone threshold

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We examine the decomposition of forced Taylor-Green and Arn'old-Beltrami-Childress (ABC) flows into coherent and incoherent components using an orthonormal wavelet decomposition. We ask whether wavelet coefficient thresholding based on the Donoho-Johnstone criterion can extract a coherent vorte...

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Autores principales:	Lord, J.W., Rast, M.P., Mckinlay, C., Clyne, J., Mininni, P.D.
Formato:	Artículo publishedVersion
Publicado:	2012
Materias:	Coherent vortices Forcings Gaussian random noise Gaussians Spatial correlations Wavelet coefficient thresholding Gaussian distribution Wavelet decomposition Data compression
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_10706631_v24_n2_p_Lord https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10706631_v24_n2_p_Lord_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

id	I28-R145-paper_10706631_v24_n2_p_Lord_oai
record_format	dspace
spelling	I28-R145-paper_10706631_v24_n2_p_Lord_oai2024-08-16 Lord, J.W. Rast, M.P. Mckinlay, C. Clyne, J. Mininni, P.D. 2012 We examine the decomposition of forced Taylor-Green and Arn'old-Beltrami-Childress (ABC) flows into coherent and incoherent components using an orthonormal wavelet decomposition. We ask whether wavelet coefficient thresholding based on the Donoho-Johnstone criterion can extract a coherent vortex signal while leaving behind Gaussian random noise. We find that no threshold yields a strictly Gaussian incoherent component, and that the most Gaussian incoherent flow is found for data compression lower than that achieved with the fully iterated Donoho-Johnstone threshold. Moreover, even at such low compression, the incoherent component shows clear signs of large-scale spatial correlations that are signatures of the forcings used to drive the flows. © 2012 American Institute of Physics. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_10706631_v24_n2_p_Lord info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Phys. Fluids 2012;24(2) Coherent vortices Forcings Gaussian random noise Gaussians Spatial correlations Wavelet coefficient thresholding Gaussian distribution Wavelet decomposition Data compression Wavelet decomposition of forced turbulence: Applicability of the iterative Donoho-Johnstone threshold info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10706631_v24_n2_p_Lord_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (UBA)
topic	Coherent vortices Forcings Gaussian random noise Gaussians Spatial correlations Wavelet coefficient thresholding Gaussian distribution Wavelet decomposition Data compression
spellingShingle	Coherent vortices Forcings Gaussian random noise Gaussians Spatial correlations Wavelet coefficient thresholding Gaussian distribution Wavelet decomposition Data compression Lord, J.W. Rast, M.P. Mckinlay, C. Clyne, J. Mininni, P.D. Wavelet decomposition of forced turbulence: Applicability of the iterative Donoho-Johnstone threshold
topic_facet	Coherent vortices Forcings Gaussian random noise Gaussians Spatial correlations Wavelet coefficient thresholding Gaussian distribution Wavelet decomposition Data compression
description	We examine the decomposition of forced Taylor-Green and Arn'old-Beltrami-Childress (ABC) flows into coherent and incoherent components using an orthonormal wavelet decomposition. We ask whether wavelet coefficient thresholding based on the Donoho-Johnstone criterion can extract a coherent vortex signal while leaving behind Gaussian random noise. We find that no threshold yields a strictly Gaussian incoherent component, and that the most Gaussian incoherent flow is found for data compression lower than that achieved with the fully iterated Donoho-Johnstone threshold. Moreover, even at such low compression, the incoherent component shows clear signs of large-scale spatial correlations that are signatures of the forcings used to drive the flows. © 2012 American Institute of Physics.
format	Artículo Artículo publishedVersion
author	Lord, J.W. Rast, M.P. Mckinlay, C. Clyne, J. Mininni, P.D.
author_facet	Lord, J.W. Rast, M.P. Mckinlay, C. Clyne, J. Mininni, P.D.
author_sort	Lord, J.W.
title	Wavelet decomposition of forced turbulence: Applicability of the iterative Donoho-Johnstone threshold
title_short	Wavelet decomposition of forced turbulence: Applicability of the iterative Donoho-Johnstone threshold
title_full	Wavelet decomposition of forced turbulence: Applicability of the iterative Donoho-Johnstone threshold
title_fullStr	Wavelet decomposition of forced turbulence: Applicability of the iterative Donoho-Johnstone threshold
title_full_unstemmed	Wavelet decomposition of forced turbulence: Applicability of the iterative Donoho-Johnstone threshold
title_sort	wavelet decomposition of forced turbulence: applicability of the iterative donoho-johnstone threshold
publishDate	2012
url	http://hdl.handle.net/20.500.12110/paper_10706631_v24_n2_p_Lord https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10706631_v24_n2_p_Lord_oai
work_keys_str_mv	AT lordjw waveletdecompositionofforcedturbulenceapplicabilityoftheiterativedonohojohnstonethreshold AT rastmp waveletdecompositionofforcedturbulenceapplicabilityoftheiterativedonohojohnstonethreshold AT mckinlayc waveletdecompositionofforcedturbulenceapplicabilityoftheiterativedonohojohnstonethreshold AT clynej waveletdecompositionofforcedturbulenceapplicabilityoftheiterativedonohojohnstonethreshold AT mininnipd waveletdecompositionofforcedturbulenceapplicabilityoftheiterativedonohojohnstonethreshold
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Wavelet decomposition of forced turbulence: Applicability of the iterative Donoho-Johnstone threshold

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