Remember Peter Gerstoft's paper on the localization of the Tohoku-Oki earthquake ? Well if you read the paper [1], you'll notice the following figure and the process by which the station's signals are aligned (cross correlation)
Cross correlation is ok but is there another way of doing this ? I rotated the figure 90 degrees to make it more obvious and here is what we have:
Those a low rank matrices. Couldn't the cross correlation step be replaced by TILT at every time step instead ? ....
Reference:
[1] Compressive sensing of the Tohoku-Oki Mw 9.0 earthquake: Frequency-dependent rupture modes by Huajian Yao, Peter Gerstoft, Peter M. Shearer, and Christoph Mecklenbräuker.
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