Separation of the Structure Signal by the Maximal Overlap Discrete Wavelet Transform and Fast Fourier Transform

Power spectral density (PSD) is used for evaluating a structure’s vibration process. Moreover, PSD not only shows a discrete form of vibration but also presents various components in a vibration structure. The superposition of multiple vibration patterns on the same spectrum poses difficulty in anal...

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Main Author: Thanh Q. Nguyen
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2021/3328684
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author Thanh Q. Nguyen
author_facet Thanh Q. Nguyen
author_sort Thanh Q. Nguyen
collection DOAJ
description Power spectral density (PSD) is used for evaluating a structure’s vibration process. Moreover, PSD not only shows a discrete form of vibration but also presents various components in a vibration structure. The superposition of multiple vibration patterns on the same spectrum poses difficulty in analyzing the spectral information in the way needed to find the structure’s discrete vibration. This paper proposes a method for separating the synthetic vibration signal into a structure’s discrete vibration and other extraneous vibrations using the maximal overlap discrete wavelet transform (MODWT) method combined with the method of fast Fourier transform (FFT). With the combination of these two algorithms, MODWT and FFT, the signals of the synthesized vibration have been separated into component signals with different frequency ranges. This means that PSD will be formed, which is based on the combination of the single power spectra of the component signals. Thus, the single spectrum of each of these constructed components can be used to evaluate the types of discrete vibrations coexisting in a structure’s vibration process. The survey results in this paper show the sensitivity and suitability of select types of discrete vibrations to be separated out during the assessment of the structural change, so as to achieve the best possible plan for eliminating the unwanted and unexpected noise and vibration components.
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spelling doaj-art-bde2e1d3c9784c0680ea5bc9768c301d2025-02-03T07:23:58ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422021-01-01202110.1155/2021/33286843328684Separation of the Structure Signal by the Maximal Overlap Discrete Wavelet Transform and Fast Fourier TransformThanh Q. Nguyen0Faculty of Engineering and Technology, Thu Dau Mot University, Thu Dau Mot City, Binh Duong Province, VietnamPower spectral density (PSD) is used for evaluating a structure’s vibration process. Moreover, PSD not only shows a discrete form of vibration but also presents various components in a vibration structure. The superposition of multiple vibration patterns on the same spectrum poses difficulty in analyzing the spectral information in the way needed to find the structure’s discrete vibration. This paper proposes a method for separating the synthetic vibration signal into a structure’s discrete vibration and other extraneous vibrations using the maximal overlap discrete wavelet transform (MODWT) method combined with the method of fast Fourier transform (FFT). With the combination of these two algorithms, MODWT and FFT, the signals of the synthesized vibration have been separated into component signals with different frequency ranges. This means that PSD will be formed, which is based on the combination of the single power spectra of the component signals. Thus, the single spectrum of each of these constructed components can be used to evaluate the types of discrete vibrations coexisting in a structure’s vibration process. The survey results in this paper show the sensitivity and suitability of select types of discrete vibrations to be separated out during the assessment of the structural change, so as to achieve the best possible plan for eliminating the unwanted and unexpected noise and vibration components.http://dx.doi.org/10.1155/2021/3328684
spellingShingle Thanh Q. Nguyen
Separation of the Structure Signal by the Maximal Overlap Discrete Wavelet Transform and Fast Fourier Transform
Advances in Materials Science and Engineering
title Separation of the Structure Signal by the Maximal Overlap Discrete Wavelet Transform and Fast Fourier Transform
title_full Separation of the Structure Signal by the Maximal Overlap Discrete Wavelet Transform and Fast Fourier Transform
title_fullStr Separation of the Structure Signal by the Maximal Overlap Discrete Wavelet Transform and Fast Fourier Transform
title_full_unstemmed Separation of the Structure Signal by the Maximal Overlap Discrete Wavelet Transform and Fast Fourier Transform
title_short Separation of the Structure Signal by the Maximal Overlap Discrete Wavelet Transform and Fast Fourier Transform
title_sort separation of the structure signal by the maximal overlap discrete wavelet transform and fast fourier transform
url http://dx.doi.org/10.1155/2021/3328684
work_keys_str_mv AT thanhqnguyen separationofthestructuresignalbythemaximaloverlapdiscretewavelettransformandfastfouriertransform