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Hydrologic time series wavelet correlation analysis method

A technology of hydrological time series and analysis methods, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as incomplete theoretical system, less research and application, lack of solution formulas and analysis methods, etc.

Inactive Publication Date: 2012-09-26
NANJING UNIV
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Problems solved by technology

However, due to the lack of systematic research on WCC, there is currently a lack of unified solution formulas and analysis methods, and the theoretical system itself is not perfect. It has only been used in economics, signal processing, and clinical medicine to a certain extent. There are very few studies and applications in water resources science, and there are no related reports in China

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  • Hydrologic time series wavelet correlation analysis method
  • Hydrologic time series wavelet correlation analysis method
  • Hydrologic time series wavelet correlation analysis method

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Embodiment Construction

[0042] The following is a detailed introduction to the wavelet cross-correlation analysis method based on continuous wavelet transform:

[0043] Order L 2 (R) represents a measurable square-integrable function space defined on the real axis, then for time series x(t)∈L 2 (R), and its continuous wavelet transform (CWT) formula is:

[0044] W x ( a , b ) = ∫ - ∞ + ∞ x ( t ) ψ * a , b ( t ) dt ψ a , b ( t ) ...

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Abstract

The invention discloses a hydrologic time series wavelet correlation analysis method comprising the following steps of: firstly, selecting a wavelet function and a time scale range, then carrying out continuous wavelet transform analysis on hydrologic time series to be analyzed; calculating the wavelet cross covariance of the hydrologic time series under different time scales and time lags; and solving the wavelet correlation coefficient of two sequences under different time scales and time lags, calculating the wavelet correlation degree so as to describe the correlation degree of the two sequences on the whole time domain, and drawing an isopleth map of the wavelet correlation coefficient to realize time-frequency comprehensive analysis on the correlation between time sequences. The case analysis result shows the effectiveness and the superiority of the wavelet correlation analysis method which can analyze and quantificationally describe the correlation of a nonstationary time series under a special time scale and appointed time lags and overcome the limit of the traditional correlation analysis method, and is more flexible and applicable.

Description

technical field [0001] The invention relates to a hydrological time series analysis method, in particular to a hydrological time series wavelet cross-correlation analysis method. Background technique [0002] The wavelet analysis method (wavelet analysis, WA) has the ability of time-frequency comprehensive analysis of non-stationary time series (Cui Jintai. Introduction to wavelet analysis. Xi'an: Xi'an Jiaotong University Press, 1995), so it is suitable for studying the characteristics of multi-time scale changes The complex hydrology and water resources system (Wang Wensheng, Ding Jing, Li Yueqing. Hydrological wavelet analysis. Beijing: Chemical Industry Press, 2005; Labat D.Recent advances in wavelet analyzes: Part 1.A review of concepts.Journal of Hydrology, 2005, 314:275-288). With the deepening of theoretical research and the need to solve practical problems, the application of WA in hydrology and water resources is increasing (Wang Wensheng, Ding Jing, Xiang Honglia...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/00
Inventor 王栋吴吉春桑燕芳祝晓彬
Owner NANJING UNIV
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