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() solved a
constrained least-squares problem to separate signal from
spatially uncorrelated noise:
The first equation defines mathematically the annihilation filter
366#366 whereas the second equation defines the annihilation filter
367#367.
Minimizing in a least-squares sense the
fitting goals in equation (![[*]](http://sepwww.stanford.edu/latex2html/cross_ref_motif.gif)
) with respect
to 343#343 leads to the following expression for the estimated signal:
371#371 is a projection filter. I call it
the filtering method because the noise components are filtered out
by the PEF 366#366 in equation ().
Next: Preconditioning the filtering method
Up: From the filtering to
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Stanford Exploration Project
6/7/2002