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
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[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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