Wide band spectrum signal denoising method based on wavelet threshold difference

A wavelet threshold and wide-band technology, which is applied in the denoising field of wide-band spectral signals, can solve the problems of denoising and low sensitivity of ultraviolet response

Active Publication Date: 2019-06-14
WUHAN UNIV
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Problems solved by technology

[0006] In order to solve the above-mentioned technical problems, the purpose of the present invention is to provide a wide-band spectral signal denoising method based on wavelet threshold difference, to solve the problem that the sensitivity of CCD to ultraviolet response is not high in a wide spectral range. noise denoising problem

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  • Wide band spectrum signal denoising method based on wavelet threshold difference
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  • Wide band spectrum signal denoising method based on wavelet threshold difference

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Embodiment approach

[0062] Combine below Figure 1 to Figure 3 Introduce the embodiment of the present invention, specifically:

[0063] Step 1: Perform wavelet decomposition on the noisy spectral signal to obtain multi-layer wavelet coefficients;

[0064] The multi-layer wavelet coefficient obtained by performing wavelet decomposition on the noisy spectral signal as described in step 1 is:

[0065] Carry out wavelet decomposition on the noisy spectral signal f(t) (t=1,2,3,…,N, is the serial number of discrete time), select the wavelet base as db20, decompose according to the order of high frequency signal to low frequency signal as M layer wavelet coefficients, namely: D 1 ,D 2 ,...,D M ;

[0066]

[0067] The jth wavelet coefficient of the i layer is d i,j , the j-th approximate signal part of the i-th layer is denoted as c i,j , where i represents the number of layers of decomposition, i∈[1,M], j represents the jth coefficient of the i-th layer, j∈[1,N]; H(x) is the time-domain wavel...

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Abstract

The invention provides a wide band spectrum signal denoising method based on wavelet threshold difference. Wavelet decomposition is carried out on spectral signals with noise to obtain multilayer wavelet coefficients; soft threshold denoising is carried out on the multilayer wavelet coefficients to obtain the denoised multilayer wavelet coefficients; a Hankel matrix is constructed by wavelet coefficients of each layer after denoising; a singular value matrix is constructed according to the Hankel matrix, and singular values are obtained by orthogonal decomposition of the singular value matrix;difference calculation is carried out on the singular values to construct a singular value difference spectrum; singular value difference denoising treatment is carried out on the singular value difference spectrum; the denoised singular value matrix is calculated in a reconstructing mode to obtain the denoised Hankel matrix so as to reduce to denoised wavelet coefficients; and the denoised wavelet coefficients are subjected to inverse wavelets transform through a Mallat algorithm to obtain denoised spectral signals. The wide band spectrum signal denoising method has complete denoising effect, effective spectral characteristics can be retained, and measurement precision and accuracy of a wide-band spectrometer are improved.

Description

technical field [0001] The present invention relates to the technical field of denoising methods for broadband spectral signals, in particular to a method for denoising broadband spectral signals based on wavelet threshold difference. Background technique [0002] There are two main problems in existing broadband micro-spectrometers. One is that there is a limited relationship between the spectral range and resolution, and it is difficult to obtain relatively uniform and high spectral resolution in a wider spectral range; the other is that the spectral range includes In the ultraviolet band region, due to the performance of the CCD detector, the sensitivity of the instrument's ultraviolet response is not high. Appropriate spectral data processing algorithms can effectively improve these two problems. [0003] The processing method of spectral data determines the accuracy of the output spectrum. The data processing process includes dark signal correction, spectral denoising...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01J3/28
Inventor 胡明宇王先培赵浩程赵延峰张锴杨
Owner WUHAN UNIV
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