Some Time and Frequency Relations in Random Waves

Abstract
Useful characteristics of time and frequency domain relations for ocean wave spectra are presented. It is shown that the vertical speed and acceleration of the water surface can be obtained from the moments of the spectral density function. The higher order moments are sometimes important, but they are very sensitive to the ordinates of the high‐frequency region of the spectra. Some guidance to cutoff frequencies for generating moments is given. It is shown that functions depending on the third and, particularly, the fourth moments of measured wave spectra are of doubtful use because of inherent inaccuracies.

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