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Equation (5) assumes that the signal PEF is known in advance.
This argument is circular since we are estimating the signal needed
to compute
! Nonetheless, Spitz (1999) shows that
can be estimated directly from the data PEF
and the noise PEF
. Again, we assume that we are able to
compute a model for the coherent noise we wish to attenuate.
In equation, the signal PEF can be estimated as follows:
| ![\begin{displaymath}
{\bf S} \approx {\bf D/N}.\end{displaymath}](img24.gif) |
(8) |
In the next section, I show on a simple 1D example that this estimate
makes the overlap of the signal and noise operators
and
impossible
Next: A 1D example
Up: Stability of the Hessian
Previous: Stability of the Hessian
Stanford Exploration Project
6/7/2002