Low-frequency magnetotelluric data denoising method based on over-complete dictionary and compressed sensing reconstruction algorithm
A technology of compressive sensing reconstruction and over-complete dictionary, applied in the denoising of low frequency magnetotelluric data below 10Hz, and the field of magnetotelluric data denoising, it can solve the problems of loss of low-frequency effective signals in strong interference bands and difficulty in obtaining results, etc.
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[0087] attached figure 1 It is the basic process of the present invention. First, the noisy magnetotelluric time series A is decomposed into rough low-frequency effective signal B and residual B by mathematical morphological filtering r . Then, use CEEMD to decompose the rough low-frequency effective signal B into accurate low-frequency effective signal C and residual C r , residual B r with C r The summing results in a noisy high-frequency signal X. Finally, use the designed over-complete dictionary and compressed sensing reconstruction algorithm to decompose X into high-frequency effective signal Y according to the principle of sparse decomposition h and human noise Y c , high-frequency effective signal Y h It is added to the low-frequency effective signal C to obtain the full-band magnetotelluric effective signal Y.
[0088] attached figure 2 An example of low frequency significant signal extraction is shown. figure 2 (a) is the synthesized noisy signal, figur...
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