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The fundamental definition of A from equation equ6 allows
analytic computations of its inner product elements. The challenge is then
to solve for the inverse of A.
First, we
write the solution for from equation equ3 in terms of A as
| |
(56) |
Then we change the data variable to a
new variable and recast the problem as
| |
(57) |
where is the filtered input given by the substitution:
| |
(58) |
Solving for , we then need to compute the inverse of .
This is essentially the first step of the solution, i.e., the data-equalization
step.
After filtering, we merely need to apply the imaging operator to the
equalized data to obtain the final image. At this stage, any true-amplitude
imaging process could be applied, e.g., prestack Kirchhoff migration.
Next: Estimating the data covariance
Up: Two-step solution for fold
Previous: Two-step solution for fold
Stanford Exploration Project
7/5/1998