Early Detection of Rogue Waves by the Wavelet Transforms

TL;DR

This paper explores how wavelet transforms can be used for early detection and prediction of rogue waves, offering advantages over Fourier transforms in identifying wave emergence and location.

Contribution

The study demonstrates that wavelet spectra can detect rogue waves early and predict their spatial or temporal positions, improving safety measures.

Findings

Wavelet spectra reveal rogue waves at early stages.

Wavelet transforms can locate rogue waves spatially or temporally.

Predicts distances between successive rogue waves.

Abstract

We discuss the possible advantages of using the wavelet transform over the Fourier transform for the early detection of rogue waves. We show that the triangular wavelet spectra of the rogue waves can be detected at early stages of the development of rogue waves in a chaotic wave field. Compared to the Fourier spectra, the wavelet spectra is capable of detecting not only the emergence of a rogue wave but also its possible spatial (or temporal) location. Due to this fact, wavelet transform is also capable of predicting the characteristic distances between successive rogue waves. Therefore multiple simultaneous breaking of the successive rogue waves on ships or on the offshore structures can be predicted and avoided by smart designs and operations.