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The method described above isn't quite what we would like to have.
Ideally we would rather phrase the problem as
 

 (13) 
where transforms our residual from
the arbitrary distribution indicated by our semblance scan
to a standard normal distribution.
In this way we
would be smoothing our semblance values rather than
residual space shaping as indicated by fitting goals (12).
The problem
is that can not be described in terms of a linear
operator.
If was a stationary function we also wouldn't
have a problem.
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Stanford Exploration Project
5/23/2004