Decon in the log domain with variable gain

Decon in the log domain with variable gain

Jon Claerbout, Antoine Guitton, and Qiang Fu

Abstract:

We base deconvolution on the concept of output model sparsity. We improve our method of log spectral parameterization by including time-variable gain. Since filtering does not commute with time variable gain, gain is now done after decon (not before). Results at two survey locations confirm the utility. We resolve a stability issue with a long-needed regularization. An intriguing theoretical aspect shows that log spectral parameterization links penalty functions to crosscorrelation (not autocorrelation) statistics of outputs.