Interdisciplinary mathematical sciences· 2013Q2
Hilbert–Huang Transform and Its Applications
- 1,085citations
- Q2SCImago
- 2013year
Short summary
The Hilbert-Huang Transform (HHT) offers a novel time-frequency analysis method that avoids assumptions of linearity and stationarity, unlike traditional spectral analysis techniques.
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Key points
- HHT is a time-frequency analysis method that does not assume linearity or stationarity.
- It avoids the need for a priori functional bases and convolution computations.
- HHT provides a more accurate view of nonlinear data, free from spurious harmonics.
- The method offers a 'magnifying glass' for examining data, particularly from nonlinear processes.
AI-generated from the title and abstract; the full text is not read.
Abstract
The Hilbert-Huang Transform (HHT) represents a desperate attempt to break the suffocating hold on the field of data analysis by the twin assumptions of linearity and stationarity. Unlike spectrograms, wavelet analysis, or the Wigner-Ville Distribution, HHT is truly a time-frequency analysis, but it does not require an a priori functional basis and, therefore, the convolution computation of frequency. The method provides a magnifying glass to examine the data, and also offers a different view of data from nonlinear processes, with the results no longer shackled by spurious harmonics — the artifacts of imposing a linearity property on a nonlinear system or of limiting by the uncertainty principle, and a consequence of Fourier transform pairs in data analysis. This is the first HHT book containing papers covering a wide variety of interests. The chapters are divided into mathematical aspects and applications, with the applications further grouped into geophysics, structural safety and visualization.
The authors' abstract, as published at the source. Interdisciplinary mathematical sciences, 2013 · DOI ↗
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Field: Civil and Structural Engineering
Civil and Structural EngineeringEngineering