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

(9) |

(10) |

where is the filtered input given by the substitution:

(11) |

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.

7/5/1998