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Method for restoring interference pattern data spectra based on wavelet analysis

A wavelet analysis and spectral restoration technology, which is applied in the field of spectral restoration of interference data based on wavelet analysis, and can solve problems such as truncation error, unsatisfactory visual effect of interference data fitting, and inversion of spectral data error.

Active Publication Date: 2014-02-12
BEIHANG UNIV
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Problems solved by technology

[0005] However, interferometry based on polynomial fitting Figure II The sub-sampling method needs to truncate the interferogram and fit it in segments, which introduces a truncation error, and the visual effect of the interference data fitting is not ideal; there are also certain errors in the inversion spectral data

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  • Method for restoring interference pattern data spectra based on wavelet analysis
  • Method for restoring interference pattern data spectra based on wavelet analysis
  • Method for restoring interference pattern data spectra based on wavelet analysis

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Embodiment Construction

[0067] The present invention will be further described below in conjunction with the accompanying drawings.

[0068] The present invention is based on wavelet analysis interferogram data spectral restoration method, such as figure 1 As shown, it is realized through the following steps:

[0069] Step 1: Extract the gray value of the same target point from the data captured by the interferometric spectrometer to obtain non-uniformly sampled interferogram data;

[0070] Step 2: Based on wavelet analysis, fitting non-uniformly sampled interferogram data;

[0071] Such as figure 2 As shown, the non-uniformly sampled interferogram data is brought into the fitting formula based on wavelet analysis, and the fitting function of the interferogram data is obtained, specifically:

[0072] Let the non-uniformly sampled interferogram data set be:

[0073] f s =[f(t 0 )f(t 1 )f(t 2 )...f(t i )...f(t P-1 )] T (1)

[0074] Among them, P is the set f s The number of non-...

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Abstract

The invention discloses a method for restoring interference pattern data spectra based on wavelet analysis. The method comprises the steps of applying the fitting interpolation method based on the wavelet analysis to non-uniform sampling interference pattern reconstruction, and conducting spectral inversion; firstly applying the fitting method based on the wavelet analysis to conduct fitting on non-uniform sampling interference data to obtain a fitted interference data curve, and then conducting uniform interpolation sampling to obtain uniformly-sampled interference data; conducting the FFT on the uniformly-sampled interference data on the basis of the interference spectroscopy theory to obtain a resorted spectral pattern. According to the result of a simulation experiment, it can be seen that the method is more suitable for the characteristics that the interference data change severely at the positions with zero optical path difference and change slowly at the positions with larger optical path differences, and the interference data curve is better fitted. After the uniform sampling, the FFT is carried out to obtain the spectral inversion pattern. The method has the advantages of being capable of exquisitely fitting the interference pattern data, better reflecting the characteristics of the interference pattern data and being lower in fitting error.

Description

technical field [0001] The invention belongs to the field of data processing of interference imaging spectrometers, in particular to a wavelet analysis-based method for restoring the spectrum of interference data. Background technique [0002] Due to the advantages of multi-channel, higher luminous flux, better spectral and spatial resolution compared with dispersion-type and grating-type imaging spectrometers, interferometric imaging spectrometers have gradually attracted the attention of various countries and developed maturely in the past ten years. However, the detection data of the interferometric imaging spectrometer is not directly usable target spectral data, but intermediate data—interferogram data. Therefore, data processing is required to invert the target spectrogram. [0003] According to the theory of interference spectroscopy, there is a Fourier transform relationship between the interference data obtained by the interferometric spectrometer and the target sp...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T5/00G01J3/45
Inventor 袁艳丁晓铭苏丽娟黄锋振
Owner BEIHANG UNIV
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