:::
Summary of IOT Publications
| Title | The Best Wavelet for Water Waves and Its Optimization ––Wavelet Coherences versus Fourier Coherences |
|---|---|
| Dept | Transportation Technology Research Center |
| Year | 2020 |
| Month | 2 |
| Price | 200 |
| Summary | The best wavelet, either in the discrete or in the continuous domain, for water wave simulations is named. The best basis in the discrete domain is the semi-orthogonal cardinal spline wavelet; the counterpart wavelet in the continuous domain is the Morlet wavelet. In the identification and verification processes, comprehensive basis categories of discrete wavelet groups are taken into account and inclusive entropy measures are adopted. In addition, cumulative probability distributions of transform coefficients of various wavelet groups are examined. Entropy statistics of transform coefficients under all criteria shows unambiguous jurisdiction for the comparisons; moreover, those statistics related to the Fourier basis is included in the comparisons. Results show the univocal superiority of the present best basis over any other bases, including the Fourier basis, for wind wave signals in the tank. Furthermore, the practical deficiency of the best wavelet regarding its energy description on water waves is illustrated and an optimization aiming for better physics is devised. Such a refinement is done through the adaptation of a carrier frequency parameter associated with wavelet time-frequency windows. At last, as a definitive proof of the present realization of the best basis, the wavelet coherences are compared to the Fourier spectral coherences for measurements of wave and aqueous flow fields in a wind-wave tank. The absolute superiority, as well as the outstanding and informative results, of wavelet coherences make the full vindication of the present study. It is believed that, concerning wavelets' applications to water waves, the best basis identified here is the last and ultimate word in wavelets. |
| Post date | 2020-04-24 |
Count Views:325