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In this section, we describe a method that computes the signal PEF needed
in equations (2) and (4).
Spitz (1999) showed that for uncorrelated
signal and noise, the signal PEF can be expressed in terms of 2 PEF's:
a PEF , estimated from the data , and a PEF
, estimated from the noise model such that
| |
(9) |

Equation (9) states that the signal PEF equals the
data PEF deconvolved by the noise PEF. Spitz formulated the problem
in the *f*-*x* domain, but the helix transform Claerbout (1998)
permits stable inverse filtering with multidimensional *t*-*x* domain filters.

** Next:** Coherent noise attenuation results
** Up:** Theory review
** Previous:** Subtraction method
Stanford Exploration Project

4/29/2001