EARLY DETECTION OF ROGUE WAVES USING COMPRESSIVE SAMPLING

We discuss the possible usage of the compressive sampling for the early detection of the rogue waves. One of the promising techniques for the early detection of the rogue waves is to measure the triangular Fourier spectra which begin to appear at the early stages of their development. For the early...

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Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics 2019-07, Vol.9 (2), p.198
Main Author: Bayindir, C
Format: Article
Language:English
Subjects:
Computer memory
Early warning systems
Identification and classification
Measuring instruments
Sampling
Signal processing
Solitary waves
Warning systems
Water waves
Wavelengths
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Summary:We discuss the possible usage of the compressive sampling for the early detection of the rogue waves. One of the promising techniques for the early detection of the rogue waves is to measure the triangular Fourier spectra which begin to appear at the early stages of their development. For the early detection of the rogue waves it is possible to treat such a spectrum as a sparse signal since we would mainly be interested in the high amplitude triangular region located at the central wavenumber. Therefore compressive sampling can be a very efficient tool for the rogue wave early warning systems. By employing a numerical approach we show that triangular Fourier spectra can be sensed by compressive measurements at the early stages of the development of rogue waves such as those in the form of Peregrine and Akhmediev-Peregrine solitons. Our results may lead to development of the early warning and measurement systems which use the compressive sampling thus the memory requirements for those systems can be greatly reduced. Keywords: Rogue waves, early detection, spectral analysis, compressive sensing. AMS Subject Classification: 81Q05, 65T50
ISSN:2146-1147
2146-1147