Model-based analysis of dispersion curves using chirplets

The Journal of the Acoustical Society of America
Helge KuttigLaurence J Jacobs

Abstract

Time-frequency representations, like the spectrogram or the scalogram, are widely used to characterize dispersive waves. The resulting energy distributions, however, suffer from the uncertainty principle, which complicates the allocation of energy to individual propagation modes (especially when the dispersion curves of these modes are close to each other in the time-frequency domain). This research applies the chirplet as a tool to analyze dispersive wave signals based on a dispersion model. The chirplet transform, a generalization of both the wavelet and the short-time Fourier transform, enables the extraction of components of a signal with a particular instantaneous frequency and group delay. An adaptive algorithm identifies frequency regions for which quantitative statements can be made about an individual mode's energy, and employs chirplets (locally adapted to a dispersion curve model) to extract the (proportional) energy distribution of that single mode from a multimode dispersive wave signal. The effectiveness of this algorithm is demonstrated on a multimode synthetic Lamb wave signal for which the ground-truth energy distribution is known for each mode. Finally, the robustness of this algorithm is demonstrated on real,...Continue Reading

References

Dec 1, 1995·Risk Analysis : an Official Publication of the Society for Risk Analysis·B L Cohen
Jun 2, 2001·The Journal of the Acoustical Society of America·M NiethammerJ Jarzynski
Aug 29, 2003·The Journal of the Acoustical Society of America·Rüdiger BenzLaurence J Jacobs
Jun 17, 2005·The Journal of the Acoustical Society of America·Jin-Chul HongYoon Young Kim

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Citations

Apr 17, 2012·The Journal of the Acoustical Society of America·Kailiang XuWeiqi Wang
Feb 29, 2016·Ultrasonics·Bouko VogelaarXander Campman
Nov 2, 2011·Ultrasonics·Guang-Ming ZhangDavid M Harvey
May 25, 2012·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Nicolas QuaegebeurNezih Mrad
Aug 29, 2014·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Sina FateriTat-Hean Gan
Nov 3, 2010·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Kailiang XuWeiqi Wang
Nov 28, 2009·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Luca De MarchiNicolò Speciale
Jun 3, 2018·The Journal of the Acoustical Society of America·Kailiang XuJean-Gabriel Minonzio

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