Tweaking minimum phase calculations

Michael P. Lamoureux, Gary F. Margrave

The minimum phase characterization of impulsive seismic sources is an essential step in the deconvolution process, to remove source signature with appropriate phase. Calculation of the minimum phase equivalent of a given signal is numerically sensitive, given the presence of logarithmic singularities in certain algorithms.

We propose a simple over-sampling in the frequency domain that accommodates the singularity, and show with a few examples that the performance is improved.