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*L*^{1} deconvolutions with IRLS algorithm are especially efficient and robust
in the presence of high-amplitude noise bursts. In the general case,
their residuals are a sharpened version of the *L*^{2} residuals, as in
predictive deconvolution: the largest amplitudes are increased, the smallest
are decreased, and thus the contrast between small and large events is
heightened. However, we cannot expect many improvements in
the estimation of the phase of the seismic wavelet. Finally, this
algorithm could be used for minimizations with mixed *L*^{1}-*L*^{2} norms, and it
would thus cope with the simultaneous presence of different kinds of noise.

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Stanford Exploration Project

1/13/1998