Seismic signal completion method based on synchronous sparse low-rank tensor completion model
A seismic signal and completion technology, applied in seismic signal processing, seismology, measuring devices, etc., to achieve accurate and efficient recovery, improve sparsity and low rank
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[0067] In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.
[0068] The present invention first describes the tensor completion problem in this field:
[0069] Given a linear measurement result vector y=R of length M M There is the following linear mapping relationship: y m =m >=(vec(A m )) T ,vec(X),1≤m≤M, where is an unknown tensor with tubal-rank r, Is the perceptual tensor, and then define a linear mapping operator Then the tensor-aware problem can be described as: find a tensor Make it satisfy y=H(X), and the tubal-rank of the tensor X is minimized. The tensor completion problem is to complete the missing part of the tensor by observing a sm...
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