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Next: LOG SPACE, SPARSITY, AND Up: Reproducible Documents

Decon in the log domain with variable gain

Jon Claerbout, Antoine Guitton, and Qiang Fu


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.