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

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...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Mininni, Pablo Daniel
Publicado:	2012
Materias:	Coherent vortices Forcings Gaussian random noise Gaussians Spatial correlations Wavelet coefficient thresholding Gaussian distribution Wavelet decomposition Data compression
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v24_n2_p_Lord http://hdl.handle.net/20.500.12110/paper_10706631_v24_n2_p_Lord
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_10706631_v24_n2_p_Lord
record_format	dspace
spelling	paper:paper_10706631_v24_n2_p_Lord2023-06-08T16:04:33Z Wavelet decomposition of forced turbulence: Applicability of the iterative Donoho-Johnstone threshold Mininni, Pablo Daniel Coherent vortices Forcings Gaussian random noise Gaussians Spatial correlations Wavelet coefficient thresholding Gaussian distribution Wavelet decomposition Data compression 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. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v24_n2_p_Lord http://hdl.handle.net/20.500.12110/paper_10706631_v24_n2_p_Lord
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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 Mininni, Pablo Daniel 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.
author	Mininni, Pablo Daniel
author_facet	Mininni, Pablo Daniel
author_sort	Mininni, Pablo Daniel
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	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v24_n2_p_Lord http://hdl.handle.net/20.500.12110/paper_10706631_v24_n2_p_Lord
work_keys_str_mv	AT mininnipablodaniel waveletdecompositionofforcedturbulenceapplicabilityoftheiterativedonohojohnstonethreshold
_version_	1768545611485806592

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

Ejemplares similares