Analysis of Acoustic Full Waveforms Based on Matching Pursuit Parameterization

Matching Pursuit (MP) algorithm is high-resolution signal analysis in time-frequency space. The method relies on an adaptive approximation of a signal by means of Gabor atoms chosen from a very large and redundant dictionary of functions. This paper presents application of MP algorithm to analyses of Acoustic Full Waveforms (AFW). Methodology of extraction of fluid wave and decomposition of AFW into separate P, S and Stoneley waves is shown. Gabor atoms that fit best to the signal structure were analyzed in order to select the ones that represent the acoustic waves. On the basis of the parameters of these atoms (position, width in time and frequency) time-frequency properties of waves are presented.