基于连续小波变换的径流分维研究  

Study on fractal dimension of runoff sequence based on successive wavelet transform

作　　者：王文圣[1] 向红莲[1] 黄伟军 丁晶[1] 

机构地区：[1]四川大学水电学院 [2]广西水电学院,广西南宁530023

出　　处：《水利学报》2005年第5期598-601,共4页Journal of Hydraulic Engineering

基　　金：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。Based on the statistical self-similarity of hydrology 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.

关 键 词：径流 分维 连续小波变换 统计自相似性 

分 类 号：P333[天文地球—水文科学]