Time-frequency analysis of broadband dispersive waves using the wavelet transform

S.C. Wooh; Karen Veroy

doi:10.1063/1.1306132

Time-frequency analysis of broadband dispersive waves using the wavelet transform

S.C. Wooh
, Karen Veroy

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

We explore the use of the Morlet wavelet transform in the time-frequency analysis of dispersive waves. The Morlet wavelet transform is a windowed Fourier transform wherein the window size varies with frequency. This allows for more effective analysis of the time-frequency characteristics of broadband signals. The Morlet wavelet transform coefficients evaluated at a particular center frequency indicate the group delay or time of arrival of a wave group whose Fourier spectrum is centered at the said frequency. The method is applied to both simulated and experimental data. In this study, multi-mode Lamb waves induced by laser generated ultrasound in a thin plate are considered.

Original language	English
Title of host publication	Review of Progress in Quantitative Nondestructive Evaluation
Editors	Sarah Kallsen, Connie Nessa, Donald O. Thompson, Dale E. Chimenti, Linda Poore
Publisher	American Institute of Physics
Pages	831-838
ISBN (Print)	1563969300
DOIs	https://doi.org/10.1063/1.1306132
Publication status	Published - 2000
Externally published	Yes
Event	26th Annual Review of Progress in Quantitative Nondestructive Evaluation - Montreal, Canada Duration: 25 Jul 1999 → 30 Jul 1999 Conference number: 26

Publication series

Name	AIP Conference Proceedings
Volume	509

Conference

Conference	26th Annual Review of Progress in Quantitative Nondestructive Evaluation
Country/Territory	Canada
City	Montreal
Period	25/07/99 → 30/07/99

Keywords

Time-frequency analysis
Lamb waves
Wavelet transform
Ultrasound

Access to Document

10.1063/1.1306132

Cite this

Wooh, S. C., & Veroy, K. (2000). Time-frequency analysis of broadband dispersive waves using the wavelet transform. In S. Kallsen, C. Nessa, D. O. Thompson, D. E. Chimenti, & L. Poore (Eds.), Review of Progress in Quantitative Nondestructive Evaluation (pp. 831-838). (AIP Conference Proceedings; Vol. 509). American Institute of Physics. https://doi.org/10.1063/1.1306132

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title = "Time-frequency analysis of broadband dispersive waves using the wavelet transform",

abstract = "We explore the use of the Morlet wavelet transform in the time-frequency analysis of dispersive waves. The Morlet wavelet transform is a windowed Fourier transform wherein the window size varies with frequency. This allows for more effective analysis of the time-frequency characteristics of broadband signals. The Morlet wavelet transform coefficients evaluated at a particular center frequency indicate the group delay or time of arrival of a wave group whose Fourier spectrum is centered at the said frequency. The method is applied to both simulated and experimental data. In this study, multi-mode Lamb waves induced by laser generated ultrasound in a thin plate are considered.",

keywords = "Time-frequency analysis, Lamb waves, Wavelet transform, Ultrasound",

author = "S.C. Wooh and Karen Veroy",

year = "2000",

doi = "10.1063/1.1306132",

language = "English",

isbn = "1563969300",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics",

pages = "831--838",

editor = "Kallsen, \{Sarah \} and Connie Nessa and Thompson, \{Donald O.\} and Chimenti, \{Dale E. \} and Poore, \{Linda \}",

booktitle = "Review of Progress in Quantitative Nondestructive Evaluation",

address = "United States",

note = "26th Annual Review of Progress in Quantitative Nondestructive Evaluation ; Conference date: 25-07-1999 Through 30-07-1999",

}

Wooh, SC & Veroy, K 2000, Time-frequency analysis of broadband dispersive waves using the wavelet transform. in S Kallsen, C Nessa, DO Thompson, DE Chimenti & L Poore (eds), Review of Progress in Quantitative Nondestructive Evaluation. AIP Conference Proceedings, vol. 509, American Institute of Physics, pp. 831-838, 26th Annual Review of Progress in Quantitative Nondestructive Evaluation, Montreal, Canada, 25/07/99. https://doi.org/10.1063/1.1306132

Time-frequency analysis of broadband dispersive waves using the wavelet transform. / Wooh, S.C.; Veroy, Karen.
Review of Progress in Quantitative Nondestructive Evaluation. ed. / Sarah Kallsen; Connie Nessa; Donald O. Thompson; Dale E. Chimenti; Linda Poore. American Institute of Physics, 2000. p. 831-838 (AIP Conference Proceedings; Vol. 509).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Time-frequency analysis of broadband dispersive waves using the wavelet transform

AU - Wooh, S.C.

AU - Veroy, Karen

N1 - Conference code: 26

PY - 2000

Y1 - 2000

N2 - We explore the use of the Morlet wavelet transform in the time-frequency analysis of dispersive waves. The Morlet wavelet transform is a windowed Fourier transform wherein the window size varies with frequency. This allows for more effective analysis of the time-frequency characteristics of broadband signals. The Morlet wavelet transform coefficients evaluated at a particular center frequency indicate the group delay or time of arrival of a wave group whose Fourier spectrum is centered at the said frequency. The method is applied to both simulated and experimental data. In this study, multi-mode Lamb waves induced by laser generated ultrasound in a thin plate are considered.

AB - We explore the use of the Morlet wavelet transform in the time-frequency analysis of dispersive waves. The Morlet wavelet transform is a windowed Fourier transform wherein the window size varies with frequency. This allows for more effective analysis of the time-frequency characteristics of broadband signals. The Morlet wavelet transform coefficients evaluated at a particular center frequency indicate the group delay or time of arrival of a wave group whose Fourier spectrum is centered at the said frequency. The method is applied to both simulated and experimental data. In this study, multi-mode Lamb waves induced by laser generated ultrasound in a thin plate are considered.

KW - Time-frequency analysis

KW - Lamb waves

KW - Wavelet transform

KW - Ultrasound

U2 - 10.1063/1.1306132

DO - 10.1063/1.1306132

M3 - Conference contribution

SN - 1563969300

T3 - AIP Conference Proceedings

SP - 831

EP - 838

BT - Review of Progress in Quantitative Nondestructive Evaluation

A2 - Kallsen, Sarah

A2 - Nessa, Connie

A2 - Thompson, Donald O.

A2 - Chimenti, Dale E.

A2 - Poore, Linda

PB - American Institute of Physics

T2 - 26th Annual Review of Progress in Quantitative Nondestructive Evaluation

Y2 - 25 July 1999 through 30 July 1999

ER -

Time-frequency analysis of broadband dispersive waves using the wavelet transform

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