By A. Ramachandra Rao, En-Ching Hsu (auth.)
The Hilbert-Huang remodel ((HHT) is a lately built approach that's used to investigate nonstationary info. Hydrologic and environmental sequence are, frequently, analyzed by utilizing thoughts which have been constructed for desk bound facts. This has resulted in difficulties of interpretation of the consequences. Environmental and hydrologic sequence are generally nonstationary. the fundamental aim of the fabric mentioned during this booklet is to investigate those facts by utilizing equipment in line with the Hilbert-Huang rework. those effects are in comparison to the consequences from the conventional equipment comparable to these in keeping with Fourier remodel and different classical statistical tests.
Audience
This publication might be of worth to researchers drawn to weather swap and complicated graduate scholars in civil engineering, atmospheric sciences and statistics.
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Additional info for Hilbert-Huang Transform Analysis Of Hydrological And Environmental Time Series
Sample text
2004). 15. 15d is the Hilbert spectrum calculated from all the IMF components; the spurious energy in low frequency is overwhelming the spectrum and the previous discussion on the decomposition process reveals the reason. 15 as DFT and MTM spectrograms. 13, multi-taper method seems to have a better estimate and approaches the theoretical spectrum. 9. 10. 15 cycle/time than the Fourier spectrum. 13 as well. In conclusion, automatically including all the IMF components may not always ensure accurate estimates of spectra.
The reason for this situation is because an IMF is not restricted to a narrow band signal; it can be both frequency and amplitude modulated as in c1 . 5. The time-frequency distribution of the signal in case 2 obtained by (a) HHT, (b) DFT and (c) MTM idea is to decompose the signal to some narrow band signals first and then use EMD operation on each of these separated signals. 8. The HHT spectrum is sharp in defining the mean frequency, but it fails to separate the three frequencies. Although Fourier-based methods also fail to separate the frequencies, they give a range of the frequency distribution.
The higher-order IMF components with very small amplitudes do not affect the Hilbert spectrum, but the problem occurs when integrating over time with very narrow frequency range to get the marginal spectrum. , 2004). 15. 15d is the Hilbert spectrum calculated from all the IMF components; the spurious energy in low frequency is overwhelming the spectrum and the previous discussion on the decomposition process reveals the reason. 15 as DFT and MTM spectrograms. 13, multi-taper method seems to have a better estimate and approaches the theoretical spectrum.