Problems in wavelet analysis of hydrologic series and some suggestions on improvement  

作　　者：WANG Hongrui YE Letian LIU Changming YANG Chi LIU Peng 

机构地区：[1]College of Water Sciences, Beijing Normal University, Beijing 100875, China [2]Key Laboratory for Water and Sediment Sciences, Ministry of Education, Beijing 100875, China [3]School of Mathematical Sciences, Peking University, Beijing 100089, China [4]College of Engineering Sciences, University of Region, Canada

出　　处：《Progress in Natural Science:Materials International》2007年第1期80-86,共7页自然科学进展·国际材料（英文版）

基　　金：Supported by the National Key Basic Research Project of China(Grant No.G19990436)

摘　　要：Applying the wavelet theory and methods to investigate the hydrologic processes such as precipitation and runoff is a hot field. However, several aspects in research are usually ignored： the effect of admissible condition of wavelet functions and the disturbance of noises for the detection of periods, the effect of the length of a hydrologic time-series on the final result, and the choice between the anomaly and the original time series for wavelet analysis. In this paper, these issues are fully discussed. Precipitation data from Lanzhou Precipitation Station are taken for case study. The result indicates that in the wavelet analysis of hydrologic series, denoise methods should be used to eliminate the influence of noises. The MexHat wavelet function satisfies the admissible condition, which ensures that the periodic properties of hydrologic processes can be well represented by using the MexHat wavelet for decomposition. The affected range of hydrologic series which should be discarded before analysis is given. It is also suggested that the anomaly series should be used to highlight the actual undulation of the hydrologic series.使用小浪理论和方法调查象降水和流量那样的水疗院逻辑过程是一个热领域。然而，切断，在研究的方面通常被忽略：小浪功能和为时期， find 结果上的一个水疗院逻辑时间系列的长度的效果，和在为小浪分析的异例和原来的时间系列之间的选择的察觉的噪音的骚乱的可被考虑的状况的效果。在这篇论文，这些问题充分被讨论。来自 Lanzhou 降水车站的降水数据为案例研究被拿。结果显示在水疗院逻辑系列的小浪分析，降噪方法应该被用来消除噪音的影响。MexHat 小浪函数满足可被考虑的条件，它保证水疗院逻辑进程的周期的性质能被为分解使用 MexHat 小浪很好代表。在分析被给以前，应该被丢弃的水疗院逻辑系列的影响范围。异例系列应该被用来加亮水疗院逻辑系列的实际波动，这也被建议。

关 键 词：wavelet analysis hydrologic process admissible condition noise PERIOD 

分 类 号：O174.2[理学—数学]