Spectral frequency analysis of nonlinear water waves based on the Hilbert-Huang transformation

摘要

The Hilbert-Huang transformation (HHT) [1, 2] is a new method for analyzing nonlinear and non-stationary data series. The central idea behind the HHT is the so-called Empirical Mode Decomposition (EMD) that numerically decomposes a time-dependent signal into its own underlying characteristic modes. Applying the Hilbert transformation (HT) to each of these disintegrated Intrinsic Mode Function (IMF) subsequently provides the Hilbert amplitude or energy spectrum - producing more accurate spectra and proposing in all probability entirely new physical insights of nonlinear and non-stationary processes. The present paper describes the application of the HHT concerning the spectral frequency analysis of nonlinear transient water waves.