| Problems in wavelet analysis of hydrologic series and some suggestions on improvement |
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| 引用本文： | WANG Hongrui,YE Letian,LIU Changming,YANG Chi,LIU Peng. Problems in wavelet analysis of hydrologic series and some suggestions on improvement[J]. 自然科学进展, 2007, 17(1): 80-86 |
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| 作者姓名： | WANG Hongrui YE Letian LIU Changming YANG Chi LIU Peng |
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| 作者单位： | 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 |
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| 基金项目： | Supported by the National Key Basic Research Project of China(Grant No．G19990436) |
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| 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.
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| 关 键 词： | wavelet analysis hydrologic process admissible condition noise period. |
Problems in wavelet analysis of hydrologic series and some suggestions on improvement |
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| WANG Hongrui,YE Letian,LIU Changming,YANG Chi,LIU Peng. Problems in wavelet analysis of hydrologic series and some suggestions on improvement[J]. , 2007, 17(1): 80-86 |
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| Authors: | WANG Hongrui YE Letian LIU Changming YANG Chi LIU Peng |
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| Affiliation: | 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 |
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| Abstract: | 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. |
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| Keywords: | wavelet analysis hydrologic process admissible condition noise period. |
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