2001
DOI: 10.1016/s0963-8695(00)00029-3
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Ultrasonic NDE of composite material structures using wavelet coefficients

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Cited by 41 publications
(23 citation statements)
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“…This statement assumes that one has some knowledge of which coefficients in the representative basis play an important role in the signal. In ultrasonic NDT applications it has already been shown that using a wavelet basis can compress a typical signal by as much as 95% in terms of compression ratio [1,6]. However, there is a drawback to this approach, since the entire signal must be acquired, according to the Nyquist-Shannon theorem, for it to be then transformed into a sparse domain.…”
Section: Compressive Sensingmentioning
confidence: 99%
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“…This statement assumes that one has some knowledge of which coefficients in the representative basis play an important role in the signal. In ultrasonic NDT applications it has already been shown that using a wavelet basis can compress a typical signal by as much as 95% in terms of compression ratio [1,6]. However, there is a drawback to this approach, since the entire signal must be acquired, according to the Nyquist-Shannon theorem, for it to be then transformed into a sparse domain.…”
Section: Compressive Sensingmentioning
confidence: 99%
“…where Ψ is a basis function set, or dictionary, and β is the coefficient vector that represents the signal in the transform domain 1 . A good example of a sparse representation would be a sinusoid at a fixed frequency, which may contain a high number of points in the time domain, but may be fully represented by one complex coefficient in the Fourier domain.…”
Section: Sparsitymentioning
confidence: 99%
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“…The selection of the mother wavelet to employ is not an easy task, because the number of parent wavelets (or mother wavelet), present in literature, are countless and their application the most various. However, the most used is the complex Morlet wavelet (Kareem and Kijewski, 2002;Legendre et al, 2001;Gilliam et al, 2000;Staszwski, 1997), because of its particularity of giving, at the same time, magnitude and phase information, very useful to visualize possible discontinuities. Moreover, this wavelet becomes very attractive for harmonic analysis, due to its analogies with the Fourier transforms expressed by this equation (Teolis, 1998) …”
Section: Continuous Wavelet Transformmentioning
confidence: 99%
“…Widely used methods at the present time are split spectrum processing [3][4][5][6][7], wavelet method [8][9][10][11][12][13][14][15][16], the high resolution pursuit (HRP) [17][18], and the chirplet transform [19][20]. The results are presented in various forms, so a direct comparison is very difficult.…”
Section: Introductionmentioning
confidence: 99%