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Dispersion-based short-time Fourier transform applied to dispersive wave analysis
Jin-Chul Hong1, Kyung Ho Sun, Yoon Young Kim
1School of Mechanical and Aerospace Engineering and National Creative Research Initiatives Center for Multiscale Design, Seoul National University, Shinlim-Dong, San 56-1, Kwanak-Gu, Seoul 151-742, Korea.
The Journal of the Acoustical Society of America
|June 17, 2005
Summary
This study introduces an adaptive time-frequency analysis method that accounts for wave dispersion. This novel approach improves the analysis of dispersive elastic waves, offering enhanced resolution compared to standard methods.
Area of Science:
- Physics
- Signal Processing
- Materials Science
Background:
- Conventional time-frequency analysis methods often overlook wave dispersion characteristics.
- Dispersive wave signals require specialized analysis techniques for accurate characterization.
Purpose of the Study:
- To introduce and evaluate an adaptive time-frequency analysis method tailored for dispersive wave signals.
- To investigate the time-frequency resolution of this novel method and compare it with existing techniques.
Main Methods:
- Developed an adaptive time-frequency tiling method based on local wave dispersion characteristics.
- Applied the method to analyze dispersive elastic waves from waveguide experiments.
- Conducted theoretical analysis of time-frequency resolution and compared it with the short-time Fourier transform.
- Developed an iterative scheme to determine dispersion relations for experimental signals.
Main Results:
- The proposed adaptive time-frequency method demonstrated superior performance in analyzing dispersive wave signals.
- Theoretical and experimental comparisons showed enhanced time-frequency resolution compared to the standard short-time Fourier transform.
- The iterative scheme effectively determined unknown dispersion relations for experimental data.
Conclusions:
- The adaptive time-frequency analysis method is effective for characterizing dispersive wave signals.
- This approach offers improved time-frequency resolution, particularly for elastic waves in waveguides.
- The developed iterative scheme facilitates the application of this method to real-world experimental data.