Generalized high-order synchronous extrusion seismic signal time-frequency decomposition and reconstruction method
A technology of synchronous extrusion and seismic signal, applied in seismic signal processing, seismology, geophysical measurement, etc., can solve problems such as "affecting extrusion" effect, and achieve the effect of improving accuracy and computing efficiency.
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Embodiment 1
[0047] Example 1: see figure 1 , a generalized high-order synchronous extrusion seismic signal time-frequency decomposition and reconstruction method, including the following steps:
[0048] (1) Obtain a seismic signal x(t);
[0049] (2) Preset the first-order number K and the time window function g(t), calculated in the window function t k Short-time Fourier transform value under g(t) Where K≤6, k=0,1,...,max{2K-2,1}; we use the following formula to calculate
[0050]
[0051]
[0052] In the formula, t is time, ω is frequency, σ is the adjustment factor of time window function;
[0053] (3) A threshold ε is preset, and the K-order matrix L is constructed according to the following formulaK (t,ω), and find the matrix L K All sequential principal subforms det(L in (t,ω) m (t,ω)) absolute value greater than the maximum value m of ε;
[0054]
[0055] m=max{j:|det(L j (t,ω))|>ε,j=1,2,...,K}
[0056] In the formula, det means to solve the matrix determinant, a...
Embodiment 2
[0064] Example 2: see figure 1 , on the basis of embodiment 1, also includes step (7), to step (6) in The modulo operation yields the final high-order synchrosqueezed transform-time spectrum This embodiment is used to output high-order synchronous squeeze transform time spectrum.
Embodiment 3
[0065] Example 3, see figure 1 , on the basis of embodiment 1, also include step (7), adopt following formula to step (6) Perform inverse transformation to reconstruct the seismic signal x(t);
[0066]
[0067] This embodiment is used to reconstruct seismic signals.
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