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, measurement devices, etc., to achieve accurate and efficient recovery, improve sparsity and low rank
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[0067] In order to make the objectives, technical solutions and advantages of the present invention clearer, the following further describes the present invention in detail with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, but not to limit the present invention.
[0068] The present invention first describes the tensor completion problem in the field:
[0069] Given a linear measurement result vector of length M y=R 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 perception problem can be described as: looking for a tensor Make it satisfy y=H(X), and minimize the tubal-rank of tensor X. The problem of tensor completion is to complete the missing part of the tensor by observing a sm...
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