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DECONVOLUTION WITH A KNOWN WAVELET

Let's first address the problem of retrieving the reflectivity series when the wavelet is known. Our problem is to find the series $\; {\bf r},\;$ from the recorded series

$\begin{displaymath} {\bf t} = {\bf w} \ast {\bf r},\end{displaymath}$

(1)

where ${\bf w}$ is the known wavelet.

The basic operator
Building a more complex operator
A generalization for the $\delta^L$ operator

Stanford Exploration Project
1/13/1998