Evaluation on Filter Performance of Variational Mode Decomposition and Its Application in Separating Closely Spaced Modes

The equivalent filter characteristics of variational mode decomposition (VMD) are fully evaluated when applied to the fractional Gaussian noise (fGn) and the application in separating closely spaced modes of vibration system is performed in this paper. VMD is a newly proposed signal decomposition te...

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Main Authors: Wenjing Gu, Li Zhou
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2020/7605683
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author Wenjing Gu
Li Zhou
author_facet Wenjing Gu
Li Zhou
author_sort Wenjing Gu
collection DOAJ
description The equivalent filter characteristics of variational mode decomposition (VMD) are fully evaluated when applied to the fractional Gaussian noise (fGn) and the application in separating closely spaced modes of vibration system is performed in this paper. VMD is a newly proposed signal decomposition technique, which nonrecursively decomposes a signal into a given number of subsignals (modes), and each mode is mostly compact around a center pulsation. The filter performance of VMD is largely dependent on the constraint parameter and the initialization of center frequencies. In order to extract the desired modes, criteria for the determination of decomposition parameters are established. The initial center frequencies could be simply determined by prior estimated modal frequencies of the analyzed signal, while the constraint parameter is optimized utilizing a genetic algorithm (GA). A two-degree-of-freedom parametric system is considered to evaluate the capability of VMD in the separation of closely spaced modes. Compared with the noise-assisted versions of empirical mode decomposition (EMD) and wavelet packet transform (WPT), the parameter-optimized VMD can successfully separate the closely spaced modes while recovering the most modal information simultaneously. When introduced to the ground vibration test (GVT) of a horizontal tail, the proposed method successfully extracted the first five oscillation modes and identified the modal parameters accurately.
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spelling doaj-art-43810359e7114c6da80afc0ef4c455782025-02-03T01:01:40ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/76056837605683Evaluation on Filter Performance of Variational Mode Decomposition and Its Application in Separating Closely Spaced ModesWenjing Gu0Li Zhou1State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaState Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaThe equivalent filter characteristics of variational mode decomposition (VMD) are fully evaluated when applied to the fractional Gaussian noise (fGn) and the application in separating closely spaced modes of vibration system is performed in this paper. VMD is a newly proposed signal decomposition technique, which nonrecursively decomposes a signal into a given number of subsignals (modes), and each mode is mostly compact around a center pulsation. The filter performance of VMD is largely dependent on the constraint parameter and the initialization of center frequencies. In order to extract the desired modes, criteria for the determination of decomposition parameters are established. The initial center frequencies could be simply determined by prior estimated modal frequencies of the analyzed signal, while the constraint parameter is optimized utilizing a genetic algorithm (GA). A two-degree-of-freedom parametric system is considered to evaluate the capability of VMD in the separation of closely spaced modes. Compared with the noise-assisted versions of empirical mode decomposition (EMD) and wavelet packet transform (WPT), the parameter-optimized VMD can successfully separate the closely spaced modes while recovering the most modal information simultaneously. When introduced to the ground vibration test (GVT) of a horizontal tail, the proposed method successfully extracted the first five oscillation modes and identified the modal parameters accurately.http://dx.doi.org/10.1155/2020/7605683
spellingShingle Wenjing Gu
Li Zhou
Evaluation on Filter Performance of Variational Mode Decomposition and Its Application in Separating Closely Spaced Modes
Shock and Vibration
title Evaluation on Filter Performance of Variational Mode Decomposition and Its Application in Separating Closely Spaced Modes
title_full Evaluation on Filter Performance of Variational Mode Decomposition and Its Application in Separating Closely Spaced Modes
title_fullStr Evaluation on Filter Performance of Variational Mode Decomposition and Its Application in Separating Closely Spaced Modes
title_full_unstemmed Evaluation on Filter Performance of Variational Mode Decomposition and Its Application in Separating Closely Spaced Modes
title_short Evaluation on Filter Performance of Variational Mode Decomposition and Its Application in Separating Closely Spaced Modes
title_sort evaluation on filter performance of variational mode decomposition and its application in separating closely spaced modes
url http://dx.doi.org/10.1155/2020/7605683
work_keys_str_mv AT wenjinggu evaluationonfilterperformanceofvariationalmodedecompositionanditsapplicationinseparatingcloselyspacedmodes
AT lizhou evaluationonfilterperformanceofvariationalmodedecompositionanditsapplicationinseparatingcloselyspacedmodes