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To handle the inherent non-stationarity of seismic data, we estimate
a filter bank of non-stationary filters using helical boundary
conditions Claerbout (1998). This approach has been successfully
utilized by Rickett et al. (2001) to attenuate surface-related multiples.
We use a NLCG solver with the -norm and a standard conjugate gradient
solver with the -norm. The filter coefficients vary smoothly
across the output space thanks to a preconditioning of the problem
Rickett et al. (2001). In the following results, the non-stationary filters
are 1D. We estimate the same number of coefficients per filter
with the - and -norm.

** Next:** Adaptive subtraction results
** Up:** Attenuation of internal multiples
** Previous:** The synthetic data
Stanford Exploration Project

6/7/2002