浅谈数学变换在海洋技术中的应用

Brief Introduction to Mathematical Transformation in Marine Technology

根据以往的工作积累,作者在文中介绍了在海洋技术中得到应用的几种数学变换,包括基于Fourier变换的频谱分析、波浪分离、相关分析及定义的H artley实现,连续M orlet小波变换在波浪信号分析中的应用,以及离散正交小波变换的降噪作用与悬沙图像的特征提取。文中通过公式推导和数据比较,展示了数学变换在海洋技术应用中的科学魅力。

The use of some mathematical transforms in marine technology is specified in this paper based on the author＇s experience. The spectrum analysis, wave separation and cross-correlation analysis via Fourier transform are presented as well as its counterpart of Hartley transform. The application of continuous Morlet transform to time-frequency analysis of wave signals is stated, and the discrete orthogonal wavelet transform is explained for the use of de-noising and feature extraction from suspended sediment images. The formulae and data comparison are provided to show the scientific glamour of the mathematical transformation applied to marine technology.