A Optimal Order Calculation Method in Fractional Domain of Seismic Signal Based on Fuzzy Domain

A technology of seismic signal and calculation method, applied in seismic signal processing and other directions, can solve problems such as large amount of calculation, achieve the effect of improving time-frequency resolution and simplifying the calculation process

Inactive Publication Date: 2018-12-18
YILI NORMAL UNIV
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Problems solved by technology

The seismic signal is a multi-component signal, and the frequency modulation frequency of the chirp signal contained in the signal is unknown, so the fractional domain optimal order cannot be directly calculated from the chirp frequency of the signal itself, so the above fractional domain time-frequency analysis methods all use The method of traversal search requires a large amount of computation

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  • A Optimal Order Calculation Method in Fractional Domain of Seismic Signal Based on Fuzzy Domain
  • A Optimal Order Calculation Method in Fractional Domain of Seismic Signal Based on Fuzzy Domain
  • A Optimal Order Calculation Method in Fractional Domain of Seismic Signal Based on Fuzzy Domain

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[0042] All the features disclosed in this specification, except mutually exclusive features and / or steps, can be combined in any way.

[0043] The present invention will be described in detail below in conjunction with the accompanying drawings.

[0044] Step 1: Input a single channel seismic signal s(t) (such as figure 2 shown);

[0045] Perform fuzzy transformation on the signal s(t) to obtain the fuzzy function A of the signal s (Such as image 3 shown), the transformation formula adopted is as follows:

[0046]

[0047] In the formula, τ is the time delay, θ is the frequency shift, j is the imaginary unit, and e is the natural constant

[0048] Step 2: Calculate the duration T of the signal s(t) s and bandwidth B s , to obtain the signal s(t) based on the window function h with the smallest time-frequency bandwidth product TBP (t)

[0049]

[0050] For window function h TBP (t) Do fuzzy transformation to get window function h TBP (t) fuzzy function A g (S...

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Abstract

The invention relates to a method for calculating the optimal order of seismic signal fractional domain based on fuzzy domain, which belongs to the field of seismic signal processing, and aims to quickly determine the optimal order of seismic signal fractional domain by using fuzzy domain, and simplify the optimal order calculation process. First read the single-channel seismic signal, and perform fuzzy transformation on the input signal; then calculate the time width and bandwidth of the signal, obtain the window function based on the minimum time-frequency-bandwidth product of the signal, and perform fuzzy transformation on the window function; use the window function The ambiguity function performs low-pass filtering on the fuzzy transformation of the signal; calculates the horizontal and vertical direction gradients of the ambiguity function of the seismic signal self-item; performs singular value decomposition on the direction gradient matrix, and calculates the ambiguity function of the seismic signal self-term The main direction; finally, the fractional domain optimal order of the seismic signal is calculated through the main direction.

Description

technical field [0001] The invention belongs to the field of seismic signal processing, and in particular relates to a fuzzy domain-based calculation method for the optimal order of seismic signal fractional domains. Background technique [0002] Fractional Fourier transform (FrFT), also known as angle Fourier transform, is a generalized form of Fourier transform. FrFT is performed on the signal, that is, the signal is transformed into the fractional domain. FrFT has multiple transformation orders, different transformation orders have different transformation results, and the Fourier transform of the signal has only one transformation result. Almeida (1994) introduced FrFT into the field of signal processing, and gave the physical meaning of FrFT, which means that the FrFT operation of the signal is the rotation of the signal on the time-frequency plane, and initially proposed the combination of FrFT and the traditional time-frequency analysis method to obtain the score Th...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01V1/28
CPCG01V1/28
Inventor 田琳李祯王慧玲
Owner YILI NORMAL UNIV
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