Cycle Analysis Method of Tree Ring and Solar Activity Based on Variational Mode Decomposition and Hilbert Transform

According to the correlation of tree ring and solar activity, the cycle analysis method based on variational mode decomposition (VMD) and Hilbert transform is proposed. Firstly, the tree ring width of cypress during 1700 to 1955 beside the Huangdi Tomb and the long-term sunspot number during 1700 to...

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Main Authors: Guohui Li, Mengtao Zheng, Hong Yang
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Advances in Meteorology
Online Access:http://dx.doi.org/10.1155/2019/1715673
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author Guohui Li
Mengtao Zheng
Hong Yang
author_facet Guohui Li
Mengtao Zheng
Hong Yang
author_sort Guohui Li
collection DOAJ
description According to the correlation of tree ring and solar activity, the cycle analysis method based on variational mode decomposition (VMD) and Hilbert transform is proposed. Firstly, the tree ring width of cypress during 1700 to 1955 beside the Huangdi Tomb and the long-term sunspot number during 1700 to 1955, respectively, are decomposed by VMD into a series of intrinsic mode functions (IMFs). Secondly, Hilbert transformation on the decomposed IMF component is performed. Then, the marginal spectra are given and analyzed. Finally, their quasiperiodic properties are obtained as follows: the tree ring width has the quasiperiodicity of 2 to 7a, 10.8a, and 25a; the sunspot number has the quasiperiodicity of 8.3a, 9.9a, 11.1a, 52.2a, and 101.2a. The result obtained by analyzing that quasiperiodicity shows that the main periods of tree ring width and the sunspot number in the same period are basically consistent, and tree ring width has other cycles. This shows that sunspot activity is an important factor affecting tree ring growth, and tree ring width is influenced by other external environments.
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institution Kabale University
issn 1687-9309
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publishDate 2019-01-01
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spelling doaj-art-a8cb3663364c44309e3c674179484aa52025-02-03T01:12:57ZengWileyAdvances in Meteorology1687-93091687-93172019-01-01201910.1155/2019/17156731715673Cycle Analysis Method of Tree Ring and Solar Activity Based on Variational Mode Decomposition and Hilbert TransformGuohui Li0Mengtao Zheng1Hong Yang2School of Electronic Engineering, Xi’an University of Posts and Telecommunications, Xi’an, Shaanxi 710121, ChinaSchool of Electronic Engineering, Xi’an University of Posts and Telecommunications, Xi’an, Shaanxi 710121, ChinaSchool of Electronic Engineering, Xi’an University of Posts and Telecommunications, Xi’an, Shaanxi 710121, ChinaAccording to the correlation of tree ring and solar activity, the cycle analysis method based on variational mode decomposition (VMD) and Hilbert transform is proposed. Firstly, the tree ring width of cypress during 1700 to 1955 beside the Huangdi Tomb and the long-term sunspot number during 1700 to 1955, respectively, are decomposed by VMD into a series of intrinsic mode functions (IMFs). Secondly, Hilbert transformation on the decomposed IMF component is performed. Then, the marginal spectra are given and analyzed. Finally, their quasiperiodic properties are obtained as follows: the tree ring width has the quasiperiodicity of 2 to 7a, 10.8a, and 25a; the sunspot number has the quasiperiodicity of 8.3a, 9.9a, 11.1a, 52.2a, and 101.2a. The result obtained by analyzing that quasiperiodicity shows that the main periods of tree ring width and the sunspot number in the same period are basically consistent, and tree ring width has other cycles. This shows that sunspot activity is an important factor affecting tree ring growth, and tree ring width is influenced by other external environments.http://dx.doi.org/10.1155/2019/1715673
spellingShingle Guohui Li
Mengtao Zheng
Hong Yang
Cycle Analysis Method of Tree Ring and Solar Activity Based on Variational Mode Decomposition and Hilbert Transform
Advances in Meteorology
title Cycle Analysis Method of Tree Ring and Solar Activity Based on Variational Mode Decomposition and Hilbert Transform
title_full Cycle Analysis Method of Tree Ring and Solar Activity Based on Variational Mode Decomposition and Hilbert Transform
title_fullStr Cycle Analysis Method of Tree Ring and Solar Activity Based on Variational Mode Decomposition and Hilbert Transform
title_full_unstemmed Cycle Analysis Method of Tree Ring and Solar Activity Based on Variational Mode Decomposition and Hilbert Transform
title_short Cycle Analysis Method of Tree Ring and Solar Activity Based on Variational Mode Decomposition and Hilbert Transform
title_sort cycle analysis method of tree ring and solar activity based on variational mode decomposition and hilbert transform
url http://dx.doi.org/10.1155/2019/1715673
work_keys_str_mv AT guohuili cycleanalysismethodoftreeringandsolaractivitybasedonvariationalmodedecompositionandhilberttransform
AT mengtaozheng cycleanalysismethodoftreeringandsolaractivitybasedonvariationalmodedecompositionandhilberttransform
AT hongyang cycleanalysismethodoftreeringandsolaractivitybasedonvariationalmodedecompositionandhilberttransform