| 最大熵原理应用于海浪波高分布的研究 |
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| 引用本文： | 周良明,郭佩芳.最大熵原理应用于海浪波高分布的研究[J].海洋科学进展,2005,23(4):414-421. |
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| 作者姓名： | 周良明 郭佩芳 |
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| 作者单位： | 中国海洋大学,海洋环境学院,山东,青岛,26003;中国海洋大学,海洋环境学院,山东,青岛,26003 |
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| 摘 要： | 利用最大熵原理从理论上推导出波高的最大熵分布，在此基础上研究了状态参量对波高分布和波高熵的影响。影响最大熵分布的因子是平均波高和状态参量，不同海况对应的状态参量是不同的。利用波高实测资料，得出3种不同海况下的最大熵分布，通过比较发现最大熵分布很好地符合实测数据。把最大熵分布与目前广泛应用的瑞利分布作了比较，结果表明，最大熵分布有2个优点：没有对波高作出任何限制性假定和能够描述不同海况下的波高分布。
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| 关 键 词： | 信息熵 波高熵 最大熵原理 最大熵分布 瑞利分布 |
| 文章编号： | 1671-6647(2005)04-0414-08 |
| 收稿时间： | 2004-12-10 |
| 修稿时间： | 2004年12月10 |
Application of Maximum Entropy Prinicple in Studying Wave Height Distribution |
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| ZHOU Liang-ming,GUO Pei-fang.Application of Maximum Entropy Prinicple in Studying Wave Height Distribution[J].Advances in Marine Science,2005,23(4):414-421. |
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| Authors: | ZHOU Liang-ming GUO Pei-fang |
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| Institution: | College of,Marine Environment, Ocean University of China, Qingdao 266003 ,China |
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| Abstract: | In this paper, the maximum entropy principle is used to derive the maximum entropy distribution of wave height, and the effects of state parameter on the wave height distribution and wave height entropy are then studied. The factors affecting the maximum entropy distribution are average wave height and state parameter, and different sea states correspond different state parameters. The observed wave height data were used to obtain the maximum entropy distributions under 3 different sea states, and it is shown from the comparison results that the mximum entropy distributions are well consistent with the observed data. The comparison between the maximum entropy distribution and the widely used Rayleigh distribution was made, and it is shown from the comparison results that the maximum entropy distribution has two advantages, namely, no restrictive assumption on wave height is made and the distribution can describe the wave height distributions under different sea states. |
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| Keywords: | information entropy wave height entropy maximum entropy principle maximum entropy distribution Rayleigh distribution |
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