Parameter estimation for wavelet transformed ultrasonic signals

Andrew White, Jung Wuk Hong, Soonsung Hong, Jongeun Choi

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


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 languageEnglish
Pages (from-to)32-40
Number of pages9
JournalNDT and E International
Issue number1
Publication statusPublished - 2011 Jan

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering


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