<scp>A technique for the analysis of transient seismic signals</scp>

TLDR

The study introduces the multiple filter technique as a fast, efficient method for analyzing multi‑mode dispersed seismic signals. It determines amplitudes and phases across period and velocity using narrow‑band digital filters and provides a diagnostic diagram to assess time‑frequency resolution. When applied to synthetic seismograms, the technique yields group velocities and dispersion parameters that match theoretical values, and it recovers a broader range of dispersion than the classical peak‑and‑trough method.

Abstract

Abstract An analytical method, called the “multiple filter technique,” is shown to be a fast and efficient means of studying multi-mode dispersed signals. Amplitudes and phases, as functions of period and velocity, are determined from the output of a set of narrow-band digital filters. The group velocities and other dispersion parameters determined by this technique are concordant with theoretical values when the method is tested with synthetic seismograms. It can recover broader portions of the dispersion present in ordinary seismic recordings compared to the classical peak and trough method. A simple diagnostic diagram is introduced in order to study the time and frequency resolution permitted by this analytic technique.