The time-frequency analysis of the acoustic signal produced in underwater discharges based on Variational Mode Decomposition and Hilbert–Huang Transform

Abstract The experiments of underwater discharges in an anechoic pool were carried out and analysis of the time-frequency characteristics of the acoustic signals was conducted based on Variational Mode Decomposition and Hilbert–Huang Transform (VMD-HHT). We propose a relative center frequency differ...

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Main Authors: Zhen Han, Xiaobing Zhang, Bing Yan, Liang Qiao, Zhigang Wang
Format: Article
Language:English
Published: Nature Portfolio 2023-01-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-27359-5
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author Zhen Han
Xiaobing Zhang
Bing Yan
Liang Qiao
Zhigang Wang
author_facet Zhen Han
Xiaobing Zhang
Bing Yan
Liang Qiao
Zhigang Wang
author_sort Zhen Han
collection DOAJ
description Abstract The experiments of underwater discharges in an anechoic pool were carried out and analysis of the time-frequency characteristics of the acoustic signals was conducted based on Variational Mode Decomposition and Hilbert–Huang Transform (VMD-HHT). We propose a relative center frequency difference method to determine the decomposition numbers K which has to be given before the application of VMD and the result is satisfying. The HHT spectrum and marginal spectrum are obtained, then, some valuable conclusions are drawn. The high-frequency components of the acoustic signal are mainly attributed to the shock wave, and the low-frequency components mostly result from the bubble pulse. The frequency range of the acoustic signal is basically from 0 to 90kHz, and the ratio of energy in the low-frequency band(0–4kHz) to that of the total acoustic signal is up to 55.56%. Furthermore, this ratio versus gaps is also explored and it has the minimum at the gap of 1.5 mm which is the optimal gap for the peak pressure and radiated energy of the acoustic signal. Therefore, we can not obtain the maximum energy of the acoustic signal and the maximum ratio in the low-frequency band simultaneously.
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spelling doaj.art-03715ed5c4df4d37bf59b0a96d49c3a22023-01-08T12:11:25ZengNature PortfolioScientific Reports2045-23222023-01-0113111210.1038/s41598-022-27359-5The time-frequency analysis of the acoustic signal produced in underwater discharges based on Variational Mode Decomposition and Hilbert–Huang TransformZhen Han0Xiaobing Zhang1Bing Yan2Liang Qiao3Zhigang Wang4College of Weapons Engineering, Naval University of EngineeringCollege of Weapons Engineering, Naval University of EngineeringCollege of Weapons Engineering, Naval University of EngineeringSchool of Electrical and Electronic Engineering, Baoji University of Arts and SciencesDepartment of Weapons, Naval Petty Officer AcademyAbstract The experiments of underwater discharges in an anechoic pool were carried out and analysis of the time-frequency characteristics of the acoustic signals was conducted based on Variational Mode Decomposition and Hilbert–Huang Transform (VMD-HHT). We propose a relative center frequency difference method to determine the decomposition numbers K which has to be given before the application of VMD and the result is satisfying. The HHT spectrum and marginal spectrum are obtained, then, some valuable conclusions are drawn. The high-frequency components of the acoustic signal are mainly attributed to the shock wave, and the low-frequency components mostly result from the bubble pulse. The frequency range of the acoustic signal is basically from 0 to 90kHz, and the ratio of energy in the low-frequency band(0–4kHz) to that of the total acoustic signal is up to 55.56%. Furthermore, this ratio versus gaps is also explored and it has the minimum at the gap of 1.5 mm which is the optimal gap for the peak pressure and radiated energy of the acoustic signal. Therefore, we can not obtain the maximum energy of the acoustic signal and the maximum ratio in the low-frequency band simultaneously.https://doi.org/10.1038/s41598-022-27359-5
spellingShingle Zhen Han
Xiaobing Zhang
Bing Yan
Liang Qiao
Zhigang Wang
The time-frequency analysis of the acoustic signal produced in underwater discharges based on Variational Mode Decomposition and Hilbert–Huang Transform
Scientific Reports
title The time-frequency analysis of the acoustic signal produced in underwater discharges based on Variational Mode Decomposition and Hilbert–Huang Transform
title_full The time-frequency analysis of the acoustic signal produced in underwater discharges based on Variational Mode Decomposition and Hilbert–Huang Transform
title_fullStr The time-frequency analysis of the acoustic signal produced in underwater discharges based on Variational Mode Decomposition and Hilbert–Huang Transform
title_full_unstemmed The time-frequency analysis of the acoustic signal produced in underwater discharges based on Variational Mode Decomposition and Hilbert–Huang Transform
title_short The time-frequency analysis of the acoustic signal produced in underwater discharges based on Variational Mode Decomposition and Hilbert–Huang Transform
title_sort time frequency analysis of the acoustic signal produced in underwater discharges based on variational mode decomposition and hilbert huang transform
url https://doi.org/10.1038/s41598-022-27359-5
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