| 王文圣,袁 鹏,丁 晶.小波分析及其在日流量过程随机模拟中的应用[J].水利学报,2000,31(11):0043-0049 |
| 小波分析及其在日流量过程随机模拟中的应用 |
| Wavelet analysis and its application to stochastic simulation of daily flow |
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| DOI： |
| 中文关键词: 小波分析 分解与重构 随机模拟 实用性检验 |
| 英文关键词: wavelet analysis decomposition reconstruction stochastic simulation verification of model |
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| 中文摘要: |
| 小波分析能将交织在一起的不同频率成分组成的复杂时间序列分解成频率不相同的子序列。基于小波分解和重构思想，本文以屏山站为例尝试将日流量过程分解成不同尺度下的小波系数(细节)和尺度系数(背景)，对分解所得的系数按实测资料显示的主周期(年)进行随机重构，从而获得各种各样的日流量过程线。当小波函数和尺度函数或滤波器确定后，分解和重构过程不需估算参数，也不必进行前期分析和任何假定，因而，这种随机模拟方法具有非参数化特征。实例分析表明是可行的。 |
| 英文摘要: |
| Signal composed of different frequencies can be decomposed into a series of signal by wavelet analysis.Based on the principle of decomposition and reconstruction of wavelet,the daily flow series are decomposed into sub-series with different scale.The wavelet coefficients and scale coefficients are stochastically reconstructed according to the main periods illustrated by the observed data.Thereby different daily flow graphs can be obtained through reconstructing signal curves with appropriate mode.When wavelet function and scale function are determined the parameters estimation is not necessary in the process of decomposition and reconstruction.At the same time no pre-analysis or assumption is needed.The stochastic simulation of daily flow at Ping-Shan hydrological station shows that wavelet analysis is feasible. |
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