Hartley变换在海洋工程中的应用研究

The Application of Hartley Transform to Ocean Engineering

Hartley变换是一种基于谐函数的实变换,具有Fourier变换的特性,在海洋工程中使用Fourier变换的大部分应用都可以通过Hartley变换实现,并且快速Hartley变换的计算效率是快速Fourier变换的2倍,并易于实现,所以Hartley变换可以在许多应用中代替Fourier变换。详细介绍了Hartley变换在海洋工程领域的应用,包括:波谱分析、波浪分离、PIV(粒子图像测速法)技术和微分方程的Hartley域变换,举例说明了Hartley变换在节约计算空间和提高计算效率上具备的优越性。

The Hartley transform is a real transform based on harmonic functions and has some characteristics similar to the Fourier transform. Most applications in ocean engineering requiring the Fourier transform can be performed by the Hartley transform. The fast Hartley transform is twice faster and more convenient to handle than the fast Fourier transform, so it is a real valued alternative to the complex Fourier transform in many applications. The use of the Hartley transform is presented in detail in this paper, including wave spectral analysis, separation of waves, cross- correlation in PIV technique and expression of equation in the Hartley domain. The examples in the paper show the advantage and efficiency of the Hartley transform over the Fourier transform.