2006
DOI: 10.1016/j.corsci.2005.06.001
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Fractal characteristic analysis of electrochemical noise with wavelet transform

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Cited by 38 publications
(15 citation statements)
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“…Also a variety of analytical methods such as statistical functions [15,16], wavelet analysis [17][18][19], fractal analysis [20][21][22], artificial neural network [23,24], cluster and discriminant [25,26] and shot noise analyses [27] have been implemented mainly in order to acquire mechanistic information about the under-film corrosion process such as active/passive state of substrate, formation of corrosion product and the corrosion type taking place at the organic coating/metal interface. However, in coated metal systems with even a moderately protective organic coating, the current and hence the current noise is mainly controlled by transport of ionic species through the organic film.…”
Section: Introductionmentioning
confidence: 99%
“…Also a variety of analytical methods such as statistical functions [15,16], wavelet analysis [17][18][19], fractal analysis [20][21][22], artificial neural network [23,24], cluster and discriminant [25,26] and shot noise analyses [27] have been implemented mainly in order to acquire mechanistic information about the under-film corrosion process such as active/passive state of substrate, formation of corrosion product and the corrosion type taking place at the organic coating/metal interface. However, in coated metal systems with even a moderately protective organic coating, the current and hence the current noise is mainly controlled by transport of ionic species through the organic film.…”
Section: Introductionmentioning
confidence: 99%
“…To conveniently use SVD, a Hankel matrix is constructed with wavelet decomposition approximate signals and applying formula Formula (10). Suppose that cðiÞ is an approximate signal.…”
Section: Svd and Its Reconstruction Theorymentioning
confidence: 99%
“…While effective for small quantities, wavelet decomposition of large data volumes often leads to difficulty in judging the data processing result in practice. Therefore, post-processing methods of wavelet decomposition such as wavelet scale energy statistical analysis [6][7][8], wavelet fractal analysis [9][10][11][12], and wavelet singular value decomposition [13][14][15][16] have been fully developed. Because wavelet singular value decomposition has unique advantages in de-noising and eliminating correlations of signals, it has widely been used in fault diagnosis and image processing.…”
Section: Introductionmentioning
confidence: 99%
“…Wavelet analysis is a relatively new mathematical tool used to supplement conventional Fourier analysis, and does not have some of the inherent inadequacies related to Fourier approach. Electrochemical noise measurements "ENM" have revealed great advantages in the field and have also been intensively applied in the processing of electrochemical signals by many authors [19][20][21][22][23][24][25][26][27][28][29][30][31][32]. One important application of the wavelet transform to the EN analysis is the detection of transients [29,33,34].…”
Section: Introductionmentioning
confidence: 99%