Gamma energy spectrum set analysis method for deducting background based on WTSVD algorithm
A technology for deducting background and analysis methods, applied in the field of measurement, to achieve the effects of good compatibility, high efficiency, and improved analysis efficiency
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Embodiment 1
[0028] like figure 1 and figure 2 As shown, a γ-energy spectral set analysis method based on the WTSVD algorithm to subtract the background includes the following steps:
[0029] S1. Grading according to the adaptive degree of wavelet transform;
[0030] S2, analyze the time domain and frequency domain of wavelet, judge whether there is artificial nuclide interference, if yes, then enter in step S3, if not, then directly enter in step S4;
[0031] S3. Eliminate data interfered by artificial nuclides, and perform supplementary measurements;
[0032] S4. Construct background training matrix B n×p , and decompose the wavelet by Mallat;
[0033] S5. Measure the gamma energy spectrum and construct the gamma energy spectrum set S;
[0034] S6. For background training matrix B n×p Perform SVD decomposition, that is, unitary matrix decomposition, to extract the principal component matrix U;
[0035] S7. Based on the principal component matrix U, denoise the power spectrum data...
Embodiment 2
[0037] like figure 1 and figure 2 Shown, present embodiment is on the basis of embodiment 1, and the Mallat decomposition formula in step S4 is:
[0038] f m (n)=∑ k h(2n-k)f m+1 (k)
[0039] d m (n)=∑ k g((2n-k)f m+1 (k)
[0040] where f 0 , identifies the original signal vector, f m (m=-1,-2,...,-M) is the approximation signal after decomposition, d m (m=-1,-2,...,-M)) is the decomposed detail signal, h and g are the impulse response sequence of the low-pass filter and the high-pass filter respectively.
Embodiment 3
[0042] like figure 1 and figure 2 Shown, present embodiment is on the basis of embodiment 1, and the decomposition formula in the step S6 is:
[0043]
[0044] (1) The wavelet transform has strong adaptability, can be graded, and has both time domain and frequency domain analysis, which can effectively judge artificial nuclide interference. When the background energy spectrum is interfered by artificial nuclide, the background measurement is eliminated and supplementary measurement is performed. , to construct the background training matrix B n×p , the present invention uses Mallat wavelet decomposition, such as figure 2 shown, where f 0 , identifies the original signal vector, f m (m=-1,-2,...,-M) is the approximation signal after decomposition, d m (m=-1,-2,...,-M) is the decomposed detail signal, and the operation formula is:
[0045] f m (n)=∑ k h(2n-k)f m+1 (k) (1)
[0046] d m (n)=∑ k g(2n-k)f m+1 (k) (2)
[0047] Here h and g are the impulse response ...
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