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A Method of Improving the Decomposition Speed ​​of Wavelet Packet 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 effects of accelerating wavelet decomposition, improving accuracy and reducing complexity

Active Publication Date: 2022-06-28
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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  • A Method of Improving the Decomposition Speed ​​of Wavelet Packet Based on Mallat Algorithm
  • A Method of Improving the Decomposition Speed ​​of Wavelet Packet Based on Mallat Algorithm
  • A Method of Improving the Decomposition Speed ​​of Wavelet Packet Based on Mallat Algorithm

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specific Embodiment approach 1

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

[0024] Taking half-wavelet packet decomposition of EEG signals 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. The Daubechies wavelet was used for decomposition. Assuming the filter H(ω), we have

[0026]

[0027] |H(ω)| 2 +|H(ω+π)| 2 =1 (2)

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

[0029]

[0030] From this we get the scaling f...

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Abstract

A method based on the Mallat algorithm to increase the speed of wavelet packet decomposition, which relates to the field of signal processing technology, solves the problem of using wavelet decomposition to decompose only low-frequency signals in the process of feature extraction of existing EEG signals, and the problem of losing information for low-frequency signals. The type and number of decomposition levels; calculation of signal frequency; use of inverse derivation algorithm to obtain all decomposed signals and reconstruction of wavelet four steps to obtain useful target frequency signals. Using the Daubechies wavelet algorithm, the wavelet and its decomposition layers are selected, and the Shannon sampling theorem is used to obtain the frequency range of each segment after the wavelet packet decomposition. The invention not only solves the problem that wavelet decomposition only decomposes low-frequency signals, but also solves the redundant decomposition of wavelet packets by using the algorithm combined with half wavelet packet and improved convolution process, thereby improving the accuracy of signal decomposition and reducing the The complexity of the algorithm achieves the effect of accelerating wavelet decomposition.

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 wavelet packets by utilizing a half-wavelet packet and an improved convolution process algorithm on the basis of the Mallat algorithm. Background technique [0002] With the development of information technology, the research to explore the physiological problems of the human body is in-depth, and it is particularly important to study the EEG signal and process the EEG signal to reflect the physiological information of the human body. EEG signal is the general reflection of the electrophysiological activity of brain nerve cells on the surface of the cerebral cortex or scalp. The EEG signal contains a lot of physiological and disease information. In this fast-developing society, through the analysis of brain waves to analyze the individual's psychological emotions, it is used to relieve tension and anxiety. Due to the a...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): A61B5/372A61B5/374A61B5/00G06K9/00
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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