Spectral data trend removal method based on Fourier transform and wavelet analysis
A Fourier transform and spectral data technology, applied in the field of spectral data trend removal based on Fourier transform and wavelet analysis, to achieve the effect of fewer spectral data points, reduced algorithm complexity, and excellent effect
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Embodiment 1
[0025] A method for removing the trend of spectral data based on Fourier transform and wavelet analysis, comprising the following steps:
[0026] (1) Taking NO as an example, intercept the spectral data within the NO absorption wavelength range, where the number of data is the power of 2, and then use MATLAB to perform Fourier transform simulation on the spectral data to determine the wavelet decomposition layer number to obtain the absorption frequency range of the gas to be measured; it should be noted that it is not necessary to perform Fourier transform every time when the detected gas does not change. The result is as follows figure 1 As shown, it can be seen from the figure that the absorption of NO is mainly in the low frequency region (3-7), and the lower frequency signal is mainly the slow change trend of the spectrum;
[0027] (2) Determine the number of wavelet decomposition layers according to the absorption frequency range, and use MATLAB for simulation. According...
Embodiment 2
[0030] to SO 2 As an example, its method is the same as that of embodiment 1, and the specific number of decomposition layers and reconstruction coefficients are carried out according to the actual situation, and it is obtained as follows image 3 In the results shown, the dotted line in the figure is unprocessed, and the solid line is the effect after processing by the method of the present invention. It can be clearly seen from the figure that the slow changing trend of the spectrum is effectively removed.
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