Wavelet-Based Multi-Scale Entropy Analysis of Complex Rainfall Time Series
This paper presents a novel framework to determine the number of resolution levels in the application of a wavelet transformation to a rainfall time series. The rainfall time series are decomposed using the à trous wavelet transform. Then, multi-scale entropy (MSE) analysis that helps to elucidate s...
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| Format: | Article |
| Language: | English |
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MDPI AG
2011-01-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/13/1/241/ |
| _version_ | 1811278351411707904 |
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| author | Chien-Ming Chou |
| author_facet | Chien-Ming Chou |
| author_sort | Chien-Ming Chou |
| collection | DOAJ |
| description | This paper presents a novel framework to determine the number of resolution levels in the application of a wavelet transformation to a rainfall time series. The rainfall time series are decomposed using the à trous wavelet transform. Then, multi-scale entropy (MSE) analysis that helps to elucidate some hidden characteristics of the original rainfall time series is applied to the decomposed rainfall time series. The analysis shows that the Mann-Kendall (MK) rank correlation test of MSE curves of residuals at various resolution levels could determine the number of resolution levels in the wavelet decomposition. The complexity of rainfall time series at four stations on a multi-scale is compared. The results reveal that the suggested number of resolution levels can be obtained using MSE analysis and MK test. The complexity of rainfall time series at various locations can also be analyzed to provide a reference for water resource planning and application. |
| first_indexed | 2024-04-13T00:33:10Z |
| format | Article |
| id | doaj.art-37d7fdb2bff246e19360264ea9001bcc |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-13T00:33:10Z |
| publishDate | 2011-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-37d7fdb2bff246e19360264ea9001bcc2022-12-22T03:10:24ZengMDPI AGEntropy1099-43002011-01-0113124125310.3390/e13010241Wavelet-Based Multi-Scale Entropy Analysis of Complex Rainfall Time SeriesChien-Ming ChouThis paper presents a novel framework to determine the number of resolution levels in the application of a wavelet transformation to a rainfall time series. The rainfall time series are decomposed using the à trous wavelet transform. Then, multi-scale entropy (MSE) analysis that helps to elucidate some hidden characteristics of the original rainfall time series is applied to the decomposed rainfall time series. The analysis shows that the Mann-Kendall (MK) rank correlation test of MSE curves of residuals at various resolution levels could determine the number of resolution levels in the wavelet decomposition. The complexity of rainfall time series at four stations on a multi-scale is compared. The results reveal that the suggested number of resolution levels can be obtained using MSE analysis and MK test. The complexity of rainfall time series at various locations can also be analyzed to provide a reference for water resource planning and application.http://www.mdpi.com/1099-4300/13/1/241/wavelet transformmulti-scale entropyrainfall time series |
| spellingShingle | Chien-Ming Chou Wavelet-Based Multi-Scale Entropy Analysis of Complex Rainfall Time Series Entropy wavelet transform multi-scale entropy rainfall time series |
| title | Wavelet-Based Multi-Scale Entropy Analysis of Complex Rainfall Time Series |
| title_full | Wavelet-Based Multi-Scale Entropy Analysis of Complex Rainfall Time Series |
| title_fullStr | Wavelet-Based Multi-Scale Entropy Analysis of Complex Rainfall Time Series |
| title_full_unstemmed | Wavelet-Based Multi-Scale Entropy Analysis of Complex Rainfall Time Series |
| title_short | Wavelet-Based Multi-Scale Entropy Analysis of Complex Rainfall Time Series |
| title_sort | wavelet based multi scale entropy analysis of complex rainfall time series |
| topic | wavelet transform multi-scale entropy rainfall time series |
| url | http://www.mdpi.com/1099-4300/13/1/241/ |
| work_keys_str_mv | AT chienmingchou waveletbasedmultiscaleentropyanalysisofcomplexrainfalltimeseries |