Adaptive time-frequency analysis method for the analysis of dispersive elastic waves

Kyung Ho Sun; Jin-Chul Hong; Yoon Young Kim

doi:10.1117/12.655962

27 March 2006 Adaptive time-frequency analysis method for the analysis of dispersive elastic waves

Kyung Ho Sun, Jin-Chul Hong, Yoon Young Kim

Proceedings Volume 6166, Smart Structures and Materials 2006: Modeling, Signal Processing, and Control; 61660V (2006) https://doi.org/10.1117/12.655962
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2006, San Diego, California, United States

Abstract

Although conventional methods such as the short-time Fourier transform (STFT) and the continuous wavelet transform (CWT) have been effectively used for the analysis of dispersive elastic waves, rapidly varying wave signals may not be accurately analyzed by these methods. Because the time-frequency tiling of conventional methods do not take into account dispersion phenomena, it is often difficult to trace accurately the time-frequency varying feature of the signals. The objective of this work is to develop advanced adaptive time-frequency analysis methods whose time-frequency tiling is varying to the dispersion characteristics of the signal to be analyzed. More specifically, a method called, "the dispersion-based short-time Fourier transform (D-STFT) and the dispersion-based continuous wavelet transform (DCWT)" are newly developed. In these methods, each time-frequency tiling is adaptively rotated in the time-frequency plane depending on the estimated local dispersion rate of a wave signal. In the proposed approach, the dispersion relationship is estimated iteratively from the ridge analysis of the result by the proposed adaptive methods where the initial estimation is based on the result by the standard methods. To verify the validity of the present approach, the Lamb waves measured in an aluminum plate were considered.

Citation Download Citation

Kyung Ho Sun, Jin-Chul Hong, and Yoon Young Kim "Adaptive time-frequency analysis method for the analysis of dispersive elastic waves", Proc. SPIE 6166, Smart Structures and Materials 2006: Modeling, Signal Processing, and Control, 61660V (27 March 2006); https://doi.org/10.1117/12.655962

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KEYWORDS

Time-frequency analysis

Continuous wavelet transforms

Dispersion

Fourier transforms

Wave plates

Aluminum

Analytical research

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