基于压缩感知的流氓波早期检测
Early Detection of Rogue Waves Using Compressive Sensing
摘要：
我们讨论了压缩采样的早期检测流氓波的可能用途。早期检测海洋异常波的有前途的技术之一是测量在其发展的早期阶段开始出现的三角傅里叶谱。为了早期检测异常波，可以将这种频谱视为稀疏信号，因为我们主要对位于中心波数处的高振幅三角形区域感兴趣。因此，压缩采样可以是一个非常有效的工具，流氓波预警系统。压缩测量值可以通过遥感技术获得，如测量海洋表面包络的相干合成孔径雷达，或通过现场技术获得，如安装在船体上的光谱量具或底部安装的压力计。通过采用数值方法，我们表明，三角形傅立叶谱可以通过压缩测量的早期阶段的流氓波的发展，如那些形式的游隼和Akhmediev游隼孤子。我们的研究结果可能会导致早期预警硬件系统的发展，使用压缩采样，从而这些系统的内存需求可以大大减少。
英文摘要：
We discuss the possible usage of the compressive sampling for the early detection of rogue waves. One of the promising techniques for the early detection of the oceanic 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. Compressed measurements can be acquired by remote sensing techniques such as coherent SAR which measure the ocean surface envelope or by insitu techniques such as spectra measuring tools mounted on a ship hull or bottom mounted pressure gauges. 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 hardware systems which use the compressive sampling thus the memory requirements for those systems can be greatly reduced.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
