The application of Hartley transform to ocean engineering

摘要

The Hartley transform is a real integral transform based on harmonic functions and hassome characteristics similar to the Fourier transform. Most applications in ocean engineering requiringthe Fourier transform can also be performed by the Hartley transform. The fast Hartley transform istwice faster and more convenient to handle than the corresponding fast Fourier transform, so it is a realvalued alternative to the complex Fourier transform in many applications. The use of the Hartley trans-form in ocean engineering is presented in detail in this paper, including wave spectral analysis, separationof waves, cross-correlation in PIV technique and expression of equation in the Hartley domain. The ex-amples in the paper show deeply the advantage and efficiency of the Hartley transform over the Fouriertransform.