Spectral Analysis for Recognition of Wave Forms

Abstract

Originally, spectral analysis was used in seismic exploration to separate two overlapping waves [1–3]. Such methods were based on the use of diagnostic features for the frequency response of a bed. The basis for the method of determining the thickness of a thin bed from diagnostic points on its frequency response characteristic is the assumption that waves are reflected in a similar manner from both the top and the bottom of the bed. This assumption is also made in this presentation. Earlier approaches are generalized in this development by restricting neither the number of interfering waves nor the ratios between their delay times. It is assumed only that the number of interfering waves is finite.