Decon in the log domain with variable gain

GOALS

A long range goal is to successfully integrate the reflectivity to get the log impedance. This requires good low frequency handling. Recording equipment often suppresses low frequencies for various practical reasons whose validity is likely location dependent. Our decon is pulling back some of these low frequencies but should know to stop before pulling up noise. Figure 2 demonstrates doing gain after non-minimum phase decon makes a valuable first step. To find impedance may require the additional statistical assumption of sparseness, but by solving the physical problem correctly, we have reduced the need for that.