海浪波高序列的长期相关性及自仿射结构
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摘要: 本文用尺度重整分析法对渤海实测海浪波高序列进行了分析,发现波高序列满足H=0.65的Hurst律.由此得到结论:海浪波高并非相互独立的随机序列,而是具有长期相关性的随机序列.应用分形几何对波高序列的分析表明,波高序列的长期相关性在几何上有下述重要的结论:波高序列的离均累积值X(t)具有统计自仿射的几何相似结构,且其分维数D=2-H=1.35.
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