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| 基于连续小波变换的径流分维研究 | |
| 引用本文： | 王文圣,向红莲,黄伟军,丁 晶.基于连续小波变换的径流分维研究[J].水利学报,2005,36(5):0598-0601. |
| 作者姓名： | 王文圣 向红莲 黄伟军 丁 晶 |
| 作者单位： | 1. 四川大学,水电学院,四川,成都,610065;中国气象局,成都高原气象研究所,四川,成都,610072 2. 四川大学,水电学院,四川,成都,610065 3. 广西水电学院,广西,南宁,530023 |
| 基金项目： | 国家自然科学基金资助项目(50279023、40271024) |
| 摘 要： | 讨论了径流时间序列的统计自相似性描述指标——分形维数(分维)的连续小波变换系数估计思路，给出了其基本步骤。将该法运用于黄河流域主要水文站年径流的分维计算，同时与极差分析法估计值进行对比，研究表明，建议的连续小波变换分维估计法是可行的。 |
| 关 键 词： | 径流 分维 连续小波变换 统计自相似性 |
| 文章编号： | 0559-9350(2005)05-0598-04 |
| 修稿时间： | 2004年2月12日 |
Study on fractal dimension of runoff sequence based on successive wavelet transform |
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| WANG Wen-sheng,XIANG Hong-lian,HUANG Wei-jun,DING Jing.Study on fractal dimension of runoff sequence based on successive wavelet transform[J].Journal of Hydraulic Engineering,2005,36(5):0598-0601. | |
| Authors: | WANG Wen-sheng XIANG Hong-lian HUANG Wei-jun DING Jing |
| Affiliation: | 1.Sichuan University, Chengdu 610065, China; 2.Chengdu Institute of Plateau Meteorolgy, CMA, 610072, China;3.Guangxi Hydraulic and Electric College, 530023, China |
| Abstract: | Based on the statistical self-similarity of hydrolgy time series, a new approach for estimating the fractal dimension by using successive wavelet transform coefficients is proposed. The basic calculation steps are given. The fractal dimensions of the annual runoff series at some main stations in the Yellow River are obtained by using the proposed approach. In contrast to the Rescaled Range Analysis, the fractal dimension of wavelet method is robust. The results of case studies show that the wavelet method is feasible. |
| Keywords: | runoff fractal dimension successive wavelet transform statistical self-similarity |
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