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Application of Maximum Entropy Principle to Studying the Distribution of Wave Heights in A Random Wave Field
作者姓名:周良明  郭佩芳  王强  杜伊
作者单位:DepartmentofOceanography,OceanUniversityofChina,Qingdao200030,China
基金项目:Thisworkwassupportedby 86 3project—HighFrequencyGroundWaveRadar (No .86 3 818 0 1 0 2 )
摘    要:Based on the maximum entropy principle, a probability density function (PDF) is derived for the distribution of wave heights in a random wave field, without any more hypothesis. The present PDF, being a non-Rayleigh fonu, involves two parameters: the average wave height H^- and the state parameter γ. The role of γ in the distribution of wave heights is examined. It is found that γ may be a certain measure of sea state. A least square method for determining γ from measured data is proposed. In virtue of the method, the values of γ are determined for three sea states from the data measured in the East China Sea. The present PDF is compared with the well known Rayleigh PDF of wave height and it is shown that it much better fits the data than the Rayleigh PDF. It is expected that the present PDF would fit some other wave variables, since its derivation is not restricted only to the wave height.

关 键 词:熵最大化法则  波高  参数  平均值  东海

Application of Maximum Entropy Principle to Studying the Distribution of Wave Heights in A Random Wave Field
ZHOU Liang-ming ,GUO Pei-fang,WANG Qiang and DU Yi.Application of Maximum Entropy Principle to Studying the Distribution of Wave Heights in A Random Wave Field[J].China Ocean Engineering,2004,18(1):69-78.
Authors:ZHOU Liang-ming  GUO Pei-fang  WANG Qiang and DU Yi
Institution:ZHOU Liang-ming 1,GUO Pei-fang,WANG Qiang and DU Yi Department of Oceanography,Ocean University of China,Qingdao 200030,China
Abstract:
Keywords:information entropy  wave heights  maximum entropy  probability density function  Rayleigh distribution
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