Time-Frequency Analysis and Attenuation Estimation Method of Seismic Data Based on Synchrosqueezing Transformation
A time-frequency analysis and seismic data technology, applied in seismic signal processing and other directions, can solve the problems of time-frequency resolution decline, signal energy diffusion, etc., and achieve the effect of improving time-frequency resolution
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[0057] Below by specific embodiment and accompanying drawing, the scheme of the present invention is described in detail:
[0058] The used tool Synchrosqueezing transformation of the present invention specifically comprises the following steps:
[0059] Step a: Continuous wavelet transform
[0060] Signal The time domain and frequency domain of the wavelet transform are expressed as
[0061]
[0062] Where ψ(t) is the basic wavelet, a and b are scale factor and translation factor respectively, F(ω) and Ψ(ω) are Fourier transforms of f(t) and ψ(t).
[0063] Here, it is assumed that the wavelet function has almost no negative frequency components, that is, when ω0 nearby. Such as figure 1 As shown in (a), take a single-frequency cosine signal h(t)=Acos(Ωt), where A=1, Ω=100π as an example, the result of the wavelet transform is
[0064]
[0065] After wavelet transform, the energy of the cosine signal h(t) surrounds the scale a=ω in the time-scale plane 0 The strai...
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