Synchronous extrusion and transformation-based earthquake weighting average instantaneous frequency extracting method
An instantaneous frequency, weighted average technique used in signal processing in geophysical exploration
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[0110] (1) Composite signal calculation example
[0111] We study synthetic seismic records generated by convolving 30 Hz Ricker wavelets with reflection coefficient sequences. figure 2 (a) is a synthetic record without noise, (b), (c), and (d) are respectively the instantaneous frequency calculated by Hilbert transform, the weighted instantaneous frequency calculated based on Fourier transform and the present invention. It can be seen that the instantaneous frequency estimation results of (b) and (c) fluctuate greatly and are not stable enough; the estimation result of the present invention is more stable, and the instantaneous frequency is mainly distributed around the Ricker wavelet main frequency of 30Hz and within the range of 20Hz-40Hz.
[0112] image 3 (a) is to add the noise-containing record (signal-to-noise ratio SNR=5dB) of Gaussian white noise, (b), (c), (d) are respectively the instantaneous frequency calculated by Hilbert transform, calculated based on Fourier...
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