Sea wave height analysis method

An analysis method and wave height technology, applied in the field of wave height analysis, can solve the problems of not well reflecting the data fluctuation trend, discontinuous fitting polynomial connection points, and unbelievable results.

Inactive Publication Date: 2015-08-12
OCEAN UNIV OF CHINA
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Problems solved by technology

[0004] Eliminating trend fluctuations is an important part of the MF-DFA method, but there are currently the following defects in the calculation of this part: First, the fitted polynomials are discontinuous at the connection points of adjacent intervals, which will generate new pseudo-fluctuation errors [7] ;Secondly, the selection of the fitting polynomial order is very subjective, the low order cannot reflect the fluctuation trend of the data well, and the high order wil...

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Embodiment Construction

[0042] In this example, fractal theory is used to explore the fluctuation characteristics of ocean waves, and the multi-fractal partition function method and MF-DFA method are applied to the analysis of the measured data of the wave height of Chaolian Island from 1963 to 1989, and the latter is reasonably calculated. improved and achieved good results. The analysis results show that the wave fluctuation of Chaolian Island has weak multi-fractal characteristics, which lays a good foundation for a more reasonable calculation of the height of the once-in-year wave, and provides a new way of thinking for the study of the complex dynamic mechanism of wave fluctuation characteristics .

[0043]The multifractal elimination trend fluctuation analysis method (MF-DFA) is an effective method to verify whether a non-stationary time series has multifractality, and the multifractal characteristics of the object are mainly described by the generalized Hurst exponent H(q). The key step in th...

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Abstract

The invention discloses a sea wave height analysis method. The sea wave height analysis method comprises a fast band-pass filtering method for signal mode decomposition; a model decomposition trend is used for substituting for a sectioned polynomial fitting trend in an MF-DFA (multifractal detrended fluctuation analysis) method. A partition function method for multifractal analysis and the MF-DFA method are applied to sea wave height testing data analysis to indicate that a wave height sequence has a weak multi-fractal characteristic. The sea wave height analysis method makes improvements aiming at the problems existing in the MF-DFA method and establishes an MF-DFA method based on signal mode decomposition; testing data verification indicates that the improved method has the capability of avoiding the defects of the original method and has certain advantages on the basis of well meeting an elimination trend of the original method.

Description

technical field [0001] The invention relates to a method for analyzing wave height of ocean waves based on multifractal MF-DFA. Background technique [0002] The so-called fractal, according to the definition given by Mandelbrot, the founder of fractal analysis, refers to "a fractal is a shape made of parts similar to the whole in some way (A fractal is a shape made of parts similar to the whole in some way)", here "a certain The "similar way" can be self-similarity, self-affine similarity or statistical similarity, etc. The similarity can be in time or in physical space. Fractal phenomena widely exist in nature (such as the shape of the coastline, the distribution of rivers, and the growth shape of trees), as well as in physics and chemistry (such as fractal noise, soil particle size distribution), and even in economics and finance. In learning (such as fluctuations in exchange rates, changes in stock prices). In fact, fractal analysis is also widely used in the above fie...

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Application Information

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IPC IPC(8): G06F19/00
Inventor 刘桂林王莉萍陈柏宇
Owner OCEAN UNIV OF CHINA
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