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Stationary wavelet transform denoising method based on cross validation

A stationary wavelet and cross-validation technology, applied in the field of spectrum processing, can solve the problem of the lack of translation invariance threshold of ordinary discrete wavelet transform, and achieve the effect of improving the signal-to-noise ratio

Inactive Publication Date: 2015-12-23
SOUTHEAST UNIV
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Problems solved by technology

[0007] The present invention aims at the problem that ordinary discrete wavelet transform lacks translation invariance and the threshold obtained by ordinary threshold estimation rules is too large or too small, and proposes a combination of cross-validation and stationary wavelet transform to determine the optimal threshold, and uses stationary wavelet transform to determine the optimal threshold. Spectral denoising method

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  • Stationary wavelet transform denoising method based on cross validation
  • Stationary wavelet transform denoising method based on cross validation
  • Stationary wavelet transform denoising method based on cross validation

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Embodiment Construction

[0043] The technical solution of the present invention will be further described below in conjunction with the accompanying drawings and embodiments.

[0044] Taking energy dispersive X-ray fluorescence spectroscopy as an example, the technical solution of the present invention will be further described in combination with the accompanying drawings and embodiments.

[0045] figure 1 It is a flow chart when the present invention is implemented, figure 2 It is the simulated spectrum with a signal-to-noise ratio of 30dB. The steps of the method include:

[0046] Step 1. Divide the simulated energy dispersive X-ray fluorescence spectrum f with a length of N=1024 into two groups according to the odd and even numbers, and the length of each group is 512, and renumber them according to their original order, and the serial numbers are i=1,... ,512, the original sequence of even numbers is denoted as f e (i), the original sequence of odd numbers is denoted as f o (i).

[0047] Ste...

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Abstract

The invention discloses a stationary wavelet transform denoising method based on cross validation. The stationary wavelet transform denoising method comprises the following steps: determining an optimal threshold value in combination with cross validation and stationary wavelet transform at first, and then, denoising a spectrum by utilizing the optimal threshold value on the basis of the stationary wavelet transform. By means of the stationary wavelet transform denoising method, a comparatively accurate threshold value can be obtained; noise can be removed effectively; the Gibbs phenomenon can be avoided; and spectral peak features cannot be influenced.

Description

technical field [0001] The invention relates to a wavelet denoising algorithm, which belongs to the technical field of spectrum processing. technical background [0002] Noise removal technique is a very critical step for various spectral processing. Noise often has a serious impact on the analysis of spectral characteristic peaks, baseline correction and calculation of peak intensity. Before performing spectral analysis, accurate and reliable algorithms are needed to remove the influence of noise. [0003] Commonly used noise removal methods include Fourier filtering, moving average method and Savitzky-Golay filter method, etc. The Fourier filtering method often cannot accurately separate the effective signal when the frequency bands of the noise and the effective signal overlap. Both the moving average method and the Savitzky-Golay filter method need to specify a window of appropriate length, which requires high user experience. In addition, these two methods may also r...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L25/03
Inventor 王爱民赵奉奎
Owner SOUTHEAST UNIV
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