Abstract
Probabilistic distribution functions of a limited number of summed sinusoidal waves are investigated and compared with previously published experimental results. A theoretical development associated with the zero-crossings and similar types of analysis is presented including the distribution function governing the occurrence of peaks of the type of composite wave considered. Simulation studies have been used to verify these theoretical distributions and the evidence suggests that five sinusoidal components, at least, are needed for a reasonable approximation to sea-state condition simulation.
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