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Column scaling: data normalization

Recall that each column of ${\bf F}$ corresponds to an impulse response. I therefore apply column scaling to imaging operators implemented as push operators and solve the system
\begin{displaymath}
\bold m = \bold F \bold C^{-1} \bold d,
\EQNLABEL{equ-dat}\end{displaymath} (42)
where the sum of the elements of each column are on the diagonal of ${\bf C}$.

In equation equ-dat the imaging operator is applied after the data have been normalized by ${\bf C^{-1}}$ and, consequently, I will refer to this normalization as data normalization. Similar to the imaging fold, ${\bf C^{-1}}$ is normalization by the coverage of the modeling operator ${\bf L}$(where $\bf F = \bf L^{-1}$).


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Next: Normalizing vs scaling of Up: Normalization of Kirchhoff operators Previous: Row scaling: model normalization
Stanford Exploration Project
1/18/2001