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Ensemble empirical mode decomposition (EEMD) method having excitation noise add parameter option function

A technology that integrates empirical modes and noises. It is applied in electrical digital data processing, special data processing applications, instruments, etc. It can solve the problems of high calculation volume, nonlinear and non-stationary signals that cannot achieve decomposition accuracy at the same time, and achieve high decomposition accuracy. Effect

Inactive Publication Date: 2012-06-27
HARBIN INST OF TECH
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Problems solved by technology

[0003] In order to solve the problem that the conventional EEMD method cannot achieve high decomposition accuracy and small calculation amount when processing nonlinear and non-stationary signals, the present invention provides an ensemble empirical mode decomposition method with excitation noise addition parameter selection function

Method used

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  • Ensemble empirical mode decomposition (EEMD) method having excitation noise add parameter option function
  • Ensemble empirical mode decomposition (EEMD) method having excitation noise add parameter option function
  • Ensemble empirical mode decomposition (EEMD) method having excitation noise add parameter option function

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specific Embodiment approach 1

[0012] Specific implementation mode one: according to the instructions attached figure 1 Specifically explain this embodiment, a kind of ensemble empirical mode decomposition method with excitation noise addition parameter selection function described in this embodiment, the decomposition method is:

[0013] Step 1: Set the initial value for the ensemble empirical mode decomposition, the preset difference of the decomposition error and the maximum difference of the decomposition error, the initial value includes the initial value P of the set number 0 and the initial noise amplitude a 0 , and use the initial value to calculate the initial value P of the set number 0 The initial value of the decomposition error e 0，0 ;

[0014] Step 2: Add noise with amplitude a to the signal to be decomposed u The white noise of the signal to be decomposed, the set number P v The set empirical mode decomposition under the following method is used to obtain the internal solid mode function...

specific Embodiment approach 2

[0018] Specific embodiment two: This embodiment is a further description of the set empirical mode decomposition method with excitation noise addition parameter selection function described in specific embodiment one. The set number described in step one of specific embodiment one Initial value P 0 Selected as 2, the initial value of the noise amplitude a 0 It is selected as 1 / 2 of the maximum amplitude of the signal to be decomposed.

specific Embodiment approach 3

[0019] Specific embodiment three: This embodiment is a further description of the method for ensemble empirical mode decomposition with excitation noise addition parameter selection function described in specific embodiment one. The number of signal sets P v The set empirical mode decomposition under the following method is used to obtain the internal solid mode function matrix, and the previous decomposition error e is obtained according to the internal solid mode function matrix u，v and this decomposition error e u+1，v The specific process is:

[0020] Set the number P of the signal to be decomposed v The empirical mode decomposition of the set under, obtains P v Sequence of solid mode functions within the group c ij (t k ) and a set of final internal solid mode function sequences c i (t k ), i=1, Λ, n, j=1, Λ, P v , k=1, Λ, L, L is the length of the decomposed data, and the previous decomposition error e is calculated by formula 1 u，v :

[0021] formula one ...

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Abstract

The invention discloses an ensemble empirical mode decomposition (EEMD) method having an excitation noise add parameter option function, relates to the technical field of signal analysis and signal processing, and solves the problem that the conventional EEMD method cannot implement high decomposition accuracy and less calculated amount simultaneously when nonlinear and non-stationary signals areprocessed. The method comprises the following steps of: 1, setting initial values of an ensemble number and a noise amplitude; 2, performing the EEMD on a signal to acquire an internal stability modefunction matrix; 3, solving and comparing the lower bound of a resolution error with the previous result to judge whether the resolution error is reduced so as to determine whether the noise amplitude needs to be further reduced; 4, changing the ensemble number to acquire a resolution error of a new ensemble number; and 5, comparing the resolution error to ensure that the difference of the resolution errors of the EEMD is less than that of the preset resolution errors, and stopping the decomposition to finish the EEMD having an excitation noise add ensemble number and an add amplitude option function. The ensemble empirical mode decomposition method is suitable for the processing of the nonlinear and non-stationary signals.

Description

technical field [0001] The invention relates to the technical field of signal analysis and processing, in particular to an ensemble empirical mode decomposition method with the function of selecting excitation noise adding parameters. Background technique [0002] Most of the data or signals to be processed in engineering practice are nonlinear and non-stationary, such as earthquake vibration data, power grid fluctuation data, stock fluctuation data, building structure damage monitoring data and equipment failure characteristic monitoring data, etc. At present, the EEMD method of ensemble empirical mode decomposition is mostly used to process nonlinear and non-stationary signals. When using conventional EEMD methods to process nonlinear and non-stationary signals, the added noise amplitude and set number are still uncertain, and the added noise amplitude The smaller the magnitude of , the more accurate the decomposed result of the original signal is, but if the magnitude of ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/00G01V1/28
Inventor 沈毅沈志远
Owner HARBIN INST OF TECH
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