Matching Pursuit-Based Sliced Wigner Higher Order Spectral Analysis for Seismic Signals

Abstract

The Wigner higher order spectra (WHOS) are multidimensional time–frequency distributions defined by extending the Wigner–Ville distribution (WVD) to higher order spectra domains. As a subset of WHOS, the sliced WHOS (SWHOS) are used for conveniently representing time–frequency spectra. The SWHOS provide a better localized time–frequency support compared with WVD, but still suffers from cross term issues. Therefore, we propose a matching pursuit-based sliced Wigner higher order spectra (MP-SWHOS) algorithm, which can obtain a sparser high-resolution time–frequency spectrum without cross terms. The performance of MP-SWHOS is assessed on a simulated model and real data. The application to seismic spectral decomposition shows that the proposed algorithm can provide single-frequency slices with greater precision, important in the analysis of hydrocarbon reservoirs.