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Method for increasing wavelet packet decomposition speed based on Mallat algorithm

A technology of wavelet packet decomposition and wavelet decomposition, which is applied in the field of signal processing, can solve the problems of low-frequency signal loss of information, etc., and achieve the effect of accelerating wavelet decomposition, reducing complexity and improving accuracy

Active Publication Date: 2020-02-14
CHANGCHUN UNIV OF SCI & TECH
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Problems solved by technology

[0005] In order to solve the problem of missing information in the low-frequency signal by using wavelet decomposition in the feature extraction process of the existing EEG signal, the present invention provides a method for improving the decomposition speed of the wavelet packet based on the Mallat algorithm

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  • Method for increasing wavelet packet decomposition speed based on Mallat algorithm
  • Method for increasing wavelet packet decomposition speed based on Mallat algorithm
  • Method for increasing wavelet packet decomposition speed based on Mallat algorithm

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specific Embodiment approach 1

[0023] Specific implementation mode 1. Combination Figure 1 to Figure 5 Illustrate this embodiment, a kind of method that improves wavelet packet decomposition speed based on Mallat algorithm, this method is realized by the following steps:

[0024] Taking the half-wavelet packet decomposition of the EEG signal as an example, the complete processing process mainly includes the following four steps:

[0025] Step 1. Select the type of wavelet decomposition and the number of decomposition layers. Decomposition was performed using Daubechies wavelet. Let the filter H(ω) have

[0026]

[0027] |H(ω)| 2 +|H(ω+π)| 2 = 1 (2)

[0028] Among them, the filter of Daubechies wavelet is a conjugate filter, and H(0)=1. In the formula, n is the order number of the filter, and ω represents the signal frequency. According to the coefficient finite conjugate filter, the constructed filter coefficients are listed as h 0 , h 1 ... h 2 K+1 , the scaling equation is:

[0029]

[0...

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Abstract

The invention provides a method for increasing wavelet packet decomposition speed based on Mallat algorithm, relates to the technical field of signal treatment, and solves the problems that in the prior art, in the process of extracting characteristics, wavelet decomposition is adopted for only decomposing low frequency signals, and information about the low frequency signals can lose. The methodcomprises four steps of selecting wavelet decomposition types and decomposition layer numbers; calculating signal frequency; through a backcasting reckoning method, obtaining all decomposed signals; and reconstructing wavelets so as to obtain useful target frequency signals. The Daubechies wavelets algorithm is adopted, the wavelets and the decomposition layer number thereof are selected, a Shannon sampling theory is utilized, so that the frequency range of each fragment after wavelet packet decomposition can be further obtained. An algorithm for combining semi-wavelet packets and an improvement convolution process is adopted, so that the defect that wavelet decomposition can only realize decomposition of the low frequency signals, is overcome, and redundant decomposition of wavelet packets is also solved; and therefore, the signal decomposition precision is improved, the complexity of the algorithm is reduced, and the effect of accelerating wavelet decomposition is achieved.

Description

technical field [0001] The invention relates to the technical field of signal processing, in particular to a method for improving the decomposition speed of the wavelet packet by using the half wavelet packet and the improved convolution process algorithm on the basis of the Mallat algorithm. Background technique [0002] With the development of information technology, the research on exploring human physiological problems is in-depth, and it is particularly important to study EEG signals and process EEG signals to reflect human physiological information. EEG signals are the overall reflection of the electrophysiological activities of brain nerve cells on the surface of the cerebral cortex or scalp. Among them, the EEG signal contains a large amount of physiological and disease information. In this rapidly developing society, the analysis of brain waves is used to analyze the individual's psychological emotions to relieve tension and anxiety. Due to the advancement of equi...

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Application Information

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IPC IPC(8): A61B5/0476A61B5/00G06K9/00
CPCA61B5/726A61B5/7253A61B5/316A61B5/369G06F2218/02G06F2218/08
Inventor 白雪梅郭家赫王志军刘一凡李春雪张晨洁耿小飞胡汉平
Owner CHANGCHUN UNIV OF SCI & TECH
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