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Hilbert-Huang Transform & Its App...(V5)

Hilbert-Huang Transform & Its App...(V5)

Hardcover

Series: Interdisciplinary Mathematical Sciences, Book 5

General Mathematics

ISBN10: 9812563768
ISBN13: 9789812563767
Publisher: World Scientific Publishing Company
Published: Oct 1 2005
Pages: 324
Weight: 1.57
Height: 0.73 Width: 6.76 Depth: 10.02
Language: English
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.

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General Mathematics