Abstract
In this paper, we first present a closed-form analytical solution for Wavelet transformed ultrasonic signals, which can be utilized for non-destructive evaluation. A family of wavelet transformed multiple echo ultrasonic signals is parameterized in terms of the closed-form solutions. For the given noisy version of wavelet transformed multiple echoes, the separable nonlinear least squares (SNLS) technique is applied to estimate the associated unknown parameters. For an illustrated example, the CramerRao lower bound (CRLB) of the covariance matrix of the estimated parameters is calculated and compared to the covariance matrix generated by Monte Carlo simulations. The proposed method is applied to two illustrative examples and to actual ultrasonic A-scan data from water-immersion tests to demonstrate its usefulness as an effective non-destructive evaluation technique.
| Original language | English |
|---|---|
| Pages (from-to) | 32-40 |
| Number of pages | 9 |
| Journal | NDT and E International |
| Volume | 44 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2011 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Condensed Matter Physics
- Mechanical Engineering
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Parameter estimation for wavelet transformed ultrasonic signals. / White, Andrew; Hong, Jung Wuk; Hong, Soonsung; Choi, Jongeun.
In: NDT and E International, Vol. 44, No. 1, 01.01.2011, p. 32-40.Research output: Contribution to journal › Article
TY - JOUR
T1 - Parameter estimation for wavelet transformed ultrasonic signals
AU - White, Andrew
AU - Hong, Jung Wuk
AU - Hong, Soonsung
AU - Choi, Jongeun
PY - 2011/1/1
Y1 - 2011/1/1
N2 - In this paper, we first present a closed-form analytical solution for Wavelet transformed ultrasonic signals, which can be utilized for non-destructive evaluation. A family of wavelet transformed multiple echo ultrasonic signals is parameterized in terms of the closed-form solutions. For the given noisy version of wavelet transformed multiple echoes, the separable nonlinear least squares (SNLS) technique is applied to estimate the associated unknown parameters. For an illustrated example, the CramerRao lower bound (CRLB) of the covariance matrix of the estimated parameters is calculated and compared to the covariance matrix generated by Monte Carlo simulations. The proposed method is applied to two illustrative examples and to actual ultrasonic A-scan data from water-immersion tests to demonstrate its usefulness as an effective non-destructive evaluation technique.
AB - In this paper, we first present a closed-form analytical solution for Wavelet transformed ultrasonic signals, which can be utilized for non-destructive evaluation. A family of wavelet transformed multiple echo ultrasonic signals is parameterized in terms of the closed-form solutions. For the given noisy version of wavelet transformed multiple echoes, the separable nonlinear least squares (SNLS) technique is applied to estimate the associated unknown parameters. For an illustrated example, the CramerRao lower bound (CRLB) of the covariance matrix of the estimated parameters is calculated and compared to the covariance matrix generated by Monte Carlo simulations. The proposed method is applied to two illustrative examples and to actual ultrasonic A-scan data from water-immersion tests to demonstrate its usefulness as an effective non-destructive evaluation technique.
UR - http://www.scopus.com/inward/record.url?scp=78549292720&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78549292720&partnerID=8YFLogxK
U2 - 10.1016/j.ndteint.2010.09.003
DO - 10.1016/j.ndteint.2010.09.003
M3 - Article
AN - SCOPUS:78549292720
VL - 44
SP - 32
EP - 40
JO - NDT and E International
JF - NDT and E International
SN - 0963-8695
IS - 1
ER -