An Application of the Continuous Wavelet Transform to Resolution of Multicomponent Overlapping Analytical Signals

Shao, Xueguang; Sun, Li

doi:10.1081/al-100001578

Cited by 18 publications

(9 citation statements)

References 23 publications

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“…Using exactly the same approach, the WPT resolution and quantitative determination of heavily overlapping chromatograms were also studied. 46 It was found that WPT performs better than the WT approaches. Furthermore, this method was also employed for detection of the number of components in overlapping chromatograms.…”

Section: Baseline/background Correctionmentioning

confidence: 99%

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Wavelet: A New Trend in Chemistry

2003

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Since 1989, wavelet transform (WT) has attracted much interest of chemists working on signal and image processing, and the WT-based techniques have been successfully applied to the chemical signal processing. This approach has been demonstrated as fast in computation with localization and having quick decay properties, in contrast to the popular methods existing, especially to the fast Fourier transform. More than 370 papers have been published up to the year 2002 which covered applications of WT in various fields of chemistry, including analytical chemistry, chemical physics, and quantum chemistry. In this paper, we report on applications of WT to data compression, data smoothing and denoising, baseline and background correction, resolution of multicomponent overlapping signals, regression and classification, and analytical images processing in analytical chemistry. Through this report we wish to induce greater interest of chemists in WT and to obtain greater benefits from using the WT-based techniques.

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Section: Baseline/background Correctionmentioning

confidence: 99%

“…Using exactly the same approach, the WPT resolution and quantitative determination of heavily overlapping chromatograms were also studied . It was found that WPT performs better than the WT approaches.…”

Section: Applications Of Wavelet Transform In Chemistrymentioning

confidence: 99%

Wavelet: A New Trend in Chemistry

2003

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“…In the CWT, a wavelet,

, is the analyzing function. This method compares the signal with the shift and dilation of a wavelet [ 35 , 36 , 37 , 38 , 39 , 40 ]. Here, dilation refers to stretched or compressed versions of the wavelet.…”

Section: Resultsmentioning

confidence: 99%

Numerical Analysis of Guided Waves to Improve Damage Detection and Localization in Multilayered CFRP Panel

et al. 2022

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Multilayered carbon fiber-reinforced polymers (CFRP) are increasingly used in aircraft components because of their superior mechanical properties. However, composite materials are vulnerable to impact loads, resulting in delamination-type damage which, if unnoticed, could lead to catastrophic structural failure. The objective of this research was to investigate possibilities to improve damage detection and the localization using signal processing methods. Numerical modeling using the semi-analytical finite element (SAFE) method was performed to obtain guided wave dispersion curves and to perform modal analysis. From the modal analysis, mode for inspection of the composite with delamination type defects was selected. From the numerical simulation, mode interaction with delamination along the longitudinal direction was analyzed and the location of the defect was estimated by measuring the time of flight (ToF) of the signal using Hilbert transform (HT) and continuous wavelet transform (CWT). The CWT has shown better results in estimating the delamination location compared with HT. The depth of delamination was characterized in the frequency domain by comparing the amplitude of the mode. Inverse fast Fourier transform (IFFT) is recommended to reconstruct the reflected and transmitted modes for better damage detection and to reduce the complexity of signal interpretation.

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“…Therefore, WT can be considered a very efficient tool for data compression [25,26]. Furthermore, since a signal can be decomposed into the components of different frequencies by the wavelet functions of different scales, the resolved signals can be retrieved by WT decomposition from the overlapping signals [27][28][29]. Therefore, WT can be used for resolution enhancement of overlapping signals.…”

Section: Introductionmentioning

confidence: 98%