Maybe it's just a question of TILTing it ?

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.

Liked this entry ? subscribe to Nuit Blanche's feed, there's more where that came from. You can also subscribe to Nuit Blanche by Email, explore the Big Picture in Compressive Sensing or the Matrix Factorization Jungle and join the conversations on compressive sensing, advanced matrix factorization and calibration issues on Linkedin.