Review of Progress in Quantitative Nondestructive Evaluation 1996
DOI: 10.1007/978-1-4613-0383-1_97
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Wavelet Transform Signal Processing Applied to Ultrasonics

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Cited by 13 publications
(6 citation statements)
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References 11 publications
(10 reference statements)
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“…where ψ* is the complex conjugation of the mother wavelet (a continuous function in both the time domain and the frequency domain). A scale factor a either stretches (a is large), or compresses (a is small) the signal, where a = ωo / ω, ω is the angular frequency and ω o is the angular frequency shift, while b is the signal's time shift [14][15][16]. The main purpose of the mother wavelet is to provide a source function to generate the daughter wavelets which are simply the translated and scaled versions of the mother wavelet.…”
Section: Theoretical Considerations 21 Wavelet Transformmentioning
confidence: 99%
“…where ψ* is the complex conjugation of the mother wavelet (a continuous function in both the time domain and the frequency domain). A scale factor a either stretches (a is large), or compresses (a is small) the signal, where a = ωo / ω, ω is the angular frequency and ω o is the angular frequency shift, while b is the signal's time shift [14][15][16]. The main purpose of the mother wavelet is to provide a source function to generate the daughter wavelets which are simply the translated and scaled versions of the mother wavelet.…”
Section: Theoretical Considerations 21 Wavelet Transformmentioning
confidence: 99%
“…[29]. Due to its multi-resolution characteristics for signal decomposition, it has attracted significant attention from many researchers in the area of ultrasonic NDT [30][31][32][33][34][35][36].…”
Section: Introductionmentioning
confidence: 99%
“…In this paper we present a flaw signature estimation approach which utilizes the Wiener filter [1][2][3][4][5] along with a wavelet based procedure [6][7][8][9][10][11][12][13][14][15] to achieve both deconvolution and reduction of acoustic noise. In related ealier work by Patterson et al [6], the wavelet transform was applied to certain components of the Wiener filter, and coefficient chopping was used to reduce acoustic noise.…”
Section: Introductionmentioning
confidence: 99%